The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is
If a number of forces are acting at a point, their resultant is given by
If a number of forces are acting at a point, their resultant is given by
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)
A couple produces
A couple produces
The product of either force of couple with the arm of the couple is called
The product of either force of couple with the arm of the couple is called
The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by
The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
Which of the following are vector quantities?
Which of the following are vector quantities?
Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point
Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point
The maximum mechanical advantage of a lifting machine is
The maximum mechanical advantage of a lifting machine is
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is
The maximum height of a projectile on a horizontal plane, is
The maximum height of a projectile on a horizontal plane, is
A particle moves along a straight line such that distance (x) traversed in 't' seconds is given by x = t² (t - 4), the acceleration of the particle will be given by the equation
A particle moves along a straight line such that distance (x) traversed in 't' seconds is given by x = t² (t - 4), the acceleration of the particle will be given by the equation
Two bodies of masses m₁ and m₂ are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be Engineering Mechanics
Two bodies of masses m₁ and m₂ are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be Engineering Mechanics
A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.
A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.
The velocity of a body on reaching the ground from a height h, is
The velocity of a body on reaching the ground from a height h, is
Angle of friction is the
Angle of friction is the
A force acting on a body may
A force acting on a body may
The moment of inertia of a square of side (a) about an axis through its center of gravity is
The moment of inertia of a square of side (a) about an axis through its center of gravity is
The efficiency of a lifting machine is the ratio of
The efficiency of a lifting machine is the ratio of
A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act
A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act
A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act
A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act
Coplanar concurrent forces are those forces which
Coplanar concurrent forces are those forces which
According to principle of transmissibility of forces, the effect of a force upon a body is
According to principle of transmissibility of forces, the effect of a force upon a body is
A pendulum which executes one beat per second is known as
A pendulum which executes one beat per second is known as
A smooth cylinder lying on a __________ is in neutral equilibrium.
A smooth cylinder lying on a __________ is in neutral equilibrium.
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by
The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body.
The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body.
The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.
The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2.
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2.
Which one of the following statements is not correct?
Which one of the following statements is not correct?
A block of mass m₁, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m₂, which moves vertically downwards as shown in the below figure. The tension in the string is
A block of mass m₁, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m₂, which moves vertically downwards as shown in the below figure. The tension in the string is
The ratio of limiting friction and normal reaction is known as
The ratio of limiting friction and normal reaction is known as
If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
The forces, whose lines of action are parallel to each other and act in the same directions, are known as
The forces, whose lines of action are parallel to each other and act in the same directions, are known as
A number of forces acting at a point will be in equilibrium, if
A number of forces acting at a point will be in equilibrium, if
The time of flight of a projectile on downward inclined plane depends upon
The time of flight of a projectile on downward inclined plane depends upon
According to law of triangle of forces
According to law of triangle of forces
The energy possessed by a body, for doing work by virtue of its position, is called
The energy possessed by a body, for doing work by virtue of its position, is called
Center of percussion is
Center of percussion is
The mechanical advantage of a lifting machine is the ratio of
The mechanical advantage of a lifting machine is the ratio of
Coefficient of friction is the
Coefficient of friction is the
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)
In the lever of third order, load ‘W’, effort ‘P’ and fulcrum ‘F’ are oriented as follows
In the lever of third order, load ‘W’, effort ‘P’ and fulcrum ‘F’ are oriented as follows
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is
For a self locking machine, the efficiency must be
For a self locking machine, the efficiency must be
A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if
A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if
The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is
The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is
Which of the following are vector quantities?
Which of the following are vector quantities?
For any system of coplanar forces, the condition of equilibrium is that the
For any system of coplanar forces, the condition of equilibrium is that the
The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is
The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is
Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to
Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to
A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction.
A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction.
If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.
If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.
Moment of inertia of a circular section about an axis perpendicular to the section is
Moment of inertia of a circular section about an axis perpendicular to the section is
The force induced in the string AB due to the load W, as shown in the below figure is
The force induced in the string AB due to the load W, as shown in the below figure is
When the spring of a watch is wound, it will possess
When the spring of a watch is wound, it will possess
The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.
The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.
The angle between two forces when the resultant is maximum and minimum respectively are
The angle between two forces when the resultant is maximum and minimum respectively are
In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is
In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is
According to principle of moments
According to principle of moments
The friction experienced by a body, when at rest, is known as
The friction experienced by a body, when at rest, is known as
The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is
The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is
A smooth cylinder lying on its convex surface remains in __________ equilibrium.
A smooth cylinder lying on its convex surface remains in __________ equilibrium.
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)
The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as
The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as
The velocity ratio in case of an inclined plane inclined at angle 'θ' to the horizontal and weight being pulled up the inclined plane by vertical effort is
The velocity ratio in case of an inclined plane inclined at angle 'θ' to the horizontal and weight being pulled up the inclined plane by vertical effort is
In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will
In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will
When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.
When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.
Center of gravity of a thin hollow cone lies on the axis at a height of
Center of gravity of a thin hollow cone lies on the axis at a height of
Coefficient of friction depends upon
Coefficient of friction depends upon
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve
Non-coplanar non-concurrent forces are those forces which
Non-coplanar non-concurrent forces are those forces which
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)
According to Lami’s theorem
According to Lami’s theorem
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is
Non-coplanar concurrent forces are those forces which
Non-coplanar concurrent forces are those forces which
The C.G. of a right circular solid cone of height h lies at the following distance from the base
The C.G. of a right circular solid cone of height h lies at the following distance from the base
The maximum frictional force which comes into play when a body just begins to slide over another surface is called
The maximum frictional force which comes into play when a body just begins to slide over another surface is called
Centre of gravity of a solid cone lies on the axis at the height
Centre of gravity of a solid cone lies on the axis at the height
Which of the following is the example of lever of first order?
Which of the following is the example of lever of first order?
Which of the following is not the unit of energy?
Which of the following is not the unit of energy?
In the equation of virtual work, following force is neglected
In the equation of virtual work, following force is neglected
The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is
The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is
An ideal machine is one whose efficiency is
An ideal machine is one whose efficiency is
If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is
If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is
D' Alembert's principle is used for
D' Alembert's principle is used for
During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.
During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.
A force while acting on a body may
A force while acting on a body may
Pick up the incorrect statement from the following:
Pick up the incorrect statement from the following:
A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is
A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is
The ideal angle of banking provided on the curves on roads depends upon
The ideal angle of banking provided on the curves on roads depends upon
The coefficient of friction depends upon
The coefficient of friction depends upon
The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be
The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be
When a body of mass 'm' attains a velocity 'v' from rest in time 't', then the kinetic energy of translation is
When a body of mass 'm' attains a velocity 'v' from rest in time 't', then the kinetic energy of translation is
When two elastic bodies collide with each other,
When two elastic bodies collide with each other,
The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is
The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is
Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction
Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction
