‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?
The reaction at the support ‘A’ of the beam shown in below figure is
The reaction at the support ‘A’ of the beam shown in below figure is
Engineer's units of force, is
Engineer's units of force, is
The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is
The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is
The frequency of oscillation on moon as compared to that on earth, will be
The frequency of oscillation on moon as compared to that on earth, will be
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of
Periodic time of body moving with simple harmonic motion, is
Periodic time of body moving with simple harmonic motion, is
For perfectly elastic bodies, the value of coefficient of restitution is
For perfectly elastic bodies, the value of coefficient of restitution is
Pick up the correct statement from the following:
Pick up the correct statement from the following:
If y is force and x is velocity, then dimensions of —=r are dx2
If y is force and x is velocity, then dimensions of —=r are dx2
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
The reaction at the central support B of the beam ABC hinged at D shown in below figure is
The reaction at the central support B of the beam ABC hinged at D shown in below figure is
Cartesian form of the equation of catenary is
Cartesian form of the equation of catenary is
The dimensions of power are.
The dimensions of power are.
Power can be expressed as
Power can be expressed as
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
The length of a Second's pendulum, is
The length of a Second's pendulum, is
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is
Energy may be defined as
Energy may be defined as
Kinetic friction may be defined as
Kinetic friction may be defined as
The point about which combined motion of rotation and translation of a rigid body takes place, is known as
The point about which combined motion of rotation and translation of a rigid body takes place, is known as
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
The maximum displacement of a particle executing S.H.M. corresponds to
The maximum displacement of a particle executing S.H.M. corresponds to
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
The diagram showing the point of application and line of action of forces in their plane is called
The diagram showing the point of application and line of action of forces in their plane is called
For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is
For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is
The locus of the instantaneous centre of a moving rigid body, is
The locus of the instantaneous centre of a moving rigid body, is
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is
Joule is the unit of
Joule is the unit of
The unit of rotational inertia of a body in C.G.S system is
The unit of rotational inertia of a body in C.G.S system is
A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
Joule is the unit of
Joule is the unit of
The reaction at the support B of the beam shown in below figure is
The reaction at the support B of the beam shown in below figure is
The dimensions of centrifugal force are
The dimensions of centrifugal force are
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation
The C.G. of a right circular cone lies on its axis of symmetry at a height of
The C.G. of a right circular cone lies on its axis of symmetry at a height of
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is
For a simple pendulum, time period for a beat, is
For a simple pendulum, time period for a beat, is
A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be
A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)
A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is
A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is
A cube on a smooth horizontal surface
A cube on a smooth horizontal surface
The C.G. of the shaded area of the bellow figure from the x-axis is
The C.G. of the shaded area of the bellow figure from the x-axis is
An ordinate in a funicular polygon represents
An ordinate in a funicular polygon represents
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be
Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)
The forces which meet at one point and have their lines of action in different planes are called
The forces which meet at one point and have their lines of action in different planes are called
Pick up the correct statement from the following:
Pick up the correct statement from the following:
For a simple pendulum, the period of one oscillation is
For a simple pendulum, the period of one oscillation is
The Law of Polygon of Forces states that
The Law of Polygon of Forces states that
Free body diagram is an
Free body diagram is an
The centre of gravity of a triangle is at the point where three
The centre of gravity of a triangle is at the point where three
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
The load shared by the member BC of the structure shown in below figure is
The load shared by the member BC of the structure shown in below figure is
The rate of change of displacement of a body with respect to its surrounding, is known
The rate of change of displacement of a body with respect to its surrounding, is known
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)
If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is
If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
The time period of a simple pendulum depends on
(i) Mass of suspended particle
(ii) Length of the pendulum
(iii) Acceleration due to gravity
The time period of a simple pendulum depends on
(i) Mass of suspended particle
(ii) Length of the pendulum
(iii) Acceleration due to gravity
The apparent weight of a man in a moving lift is less than his real weight when it is going down with
The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A Seconds pendulum executes
A Seconds pendulum executes
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be
If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
The ratio of unit of force in gravitational system to that in absolute system is (where ‘g’ is acceleration due to gravity)
The ratio of unit of force in gravitational system to that in absolute system is (where ‘g’ is acceleration due to gravity)
Maximum efficiency of a screw jack for the angle of friction θ, is
Maximum efficiency of a screw jack for the angle of friction θ, is
According to Law of Triangle of Forces
According to Law of Triangle of Forces
When a body falls freely under gravitational force, it possesses
When a body falls freely under gravitational force, it possesses
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
A retarding force on a body does not
A retarding force on a body does not
The velocity of a body fallen from height ‘h’, on reaching the ground is given by
The velocity of a body fallen from height ‘h’, on reaching the ground is given by
The intrinsic equation of catenary is
The intrinsic equation of catenary is
The ratio of the reactions RA and RB of a simply supported beam shown in below figure is
The ratio of the reactions RA and RB of a simply supported beam shown in below figure is
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is
If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line
If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)
When two forces, each equal to P, act at 90° to each other, then the resultant will be
When two forces, each equal to P, act at 90° to each other, then the resultant will be
The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
Newton’s Law of Motion is:
Newton’s Law of Motion is:
In a simple harmonic motion, the position of equilibrium is always
In a simple harmonic motion, the position of equilibrium is always
In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be
The reaction at the support D of the continuous beam ABCD, hinged at two points shown in below figure is
The reaction at the support D of the continuous beam ABCD, hinged at two points shown in below figure is
Pick up the incorrect statement from the following:
Pick up the incorrect statement from the following:
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called
If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called
A point subjected to a number of forces will be in equilibrium, if
A point subjected to a number of forces will be in equilibrium, if
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is
Minimum potential energy of a system will be in the position of
Minimum potential energy of a system will be in the position of
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
