The angle of friction is:
The angle of friction is:
Coefficient of friction depends on
Coefficient of friction depends on
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is
The force acting on a point on the surface of a rigid body may be considered to act
The force acting on a point on the surface of a rigid body may be considered to act
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be
In the structure shown in below figure, the member which carries zero force, is
In the structure shown in below figure, the member which carries zero force, is
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?
A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
Rate of change of angular momentum is equal to
Rate of change of angular momentum is equal to
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
The units of inertia of mass are
The units of inertia of mass are
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
i. 1.0 in from the wall
ii. 1.732 m from the wall
iii. 1.0 m above the floor
iv. 1.732 m above the floor
The correct answer is
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
i. 1.0 in from the wall
ii. 1.732 m from the wall
iii. 1.0 m above the floor
iv. 1.732 m above the floor
The correct answer is
Select the correct statement
Select the correct statement
Force polygon method is applicable for
Force polygon method is applicable for
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
For maximum range of a projectile, the angle of projection should be
For maximum range of a projectile, the angle of projection should be
Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to
A funicular polygon cannot be made to pass through
A funicular polygon cannot be made to pass through
If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
The unit of impulse, is
The unit of impulse, is
The shape of a suspended cable for a uniformly distributed load over it is
The shape of a suspended cable for a uniformly distributed load over it is
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
Force polygon method is applicable for
Force polygon method is applicable for
The condition of equilibrium for any system of forces in a plane is
The condition of equilibrium for any system of forces in a plane is
The condilion for a lifting machine to be reversible is that its efficiency should be
The condilion for a lifting machine to be reversible is that its efficiency should be
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be
Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
The necessary condition of equilibrium of a body is:
The necessary condition of equilibrium of a body is:
Instantaneous center is at infinity when the angular velocity is
Instantaneous center is at infinity when the angular velocity is
Pick up the incorrect statement from the following. In a simple harmonic motion
Pick up the incorrect statement from the following. In a simple harmonic motion
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
Varingon’s theorem of moment’s states
Varingon’s theorem of moment’s states
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is
The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where ‘V’ is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where ‘V’ is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration
A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration
The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
Williot-Mohr diagram is used to determine deflection in
Williot-Mohr diagram is used to determine deflection in
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as
For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,
A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
Power developed by a torque, is
Power developed by a torque, is
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by
The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator
The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is
Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,
Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
The units of moment of inertia of an area are
The units of moment of inertia of an area are
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
Lami's theorem states that
Lami's theorem states that
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is
A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
The torque produced by a force depends on
i. the magnitude of the force
ii. the direction of the force
iii. the point of application of the force relative to origin
The correct answer is
The torque produced by a force depends on
i. the magnitude of the force
ii. the direction of the force
iii. the point of application of the force relative to origin
The correct answer is
The member forces in a statically in determinate truss
The member forces in a statically in determinate truss
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
Time of flight of a projectile on a horizontal plane, is
Time of flight of a projectile on a horizontal plane, is
The torque produced by a force depends on
(i) The magnitude of the force
(ii) The direction of the force
(iii) The point of application of the force relative to origin
The torque produced by a force depends on
(i) The magnitude of the force
(ii) The direction of the force
(iii) The point of application of the force relative to origin
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then
i. a force is required to move the body upwards
ii. a force is required to move the body downward
iii. the body will not be in equilibrium
The correct answer is
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then
i. a force is required to move the body upwards
ii. a force is required to move the body downward
iii. the body will not be in equilibrium
The correct answer is
A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is
A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force
On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes
For a self-locking machine, the efficiency should be
For a self-locking machine, the efficiency should be
When a body moves round a fixed axis, it has
When a body moves round a fixed axis, it has
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is
To attain the synchronous orbit, the launch of a satellite, is done from a place
To attain the synchronous orbit, the launch of a satellite, is done from a place
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is
Impulse can be obtained from a
Impulse can be obtained from a
Total no of instantaneous centers of a machine having ‘n’ links, is
Total no of instantaneous centers of a machine having ‘n’ links, is
The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known
The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is
