For a particle moving with a simple harmonic motion, the frequency is

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For a particle moving with a simple harmonic motion, the frequency is

A. Directly proportional to periodic time

B. Inversely proportional to periodic time

C. Inversely proportional to its angular velocity

D. Directly proportional to its angular velocity

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Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

A. Concurrent

B. Parallel

C. Concurrent parallel

D. None of these

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Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

A. 2 m/sec and 2 m/sec

B. 3 m/sec and 2 m/sec

C. 3 m/sec and 3 m/sec

D. 4 m/sec and 6 m/sec

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One Newton is equivalent to

A. 1 kg. wt

B. 9.81 kg. wt

C. 981 dyne

D. 1/9.81 kg. wt

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Periodic time of body moving with simple harmonic motion, is

A. Directly proportional to its angular velocity

B. Directly proportional to the square of its angular velocity

C. Inversely proportional to the square of its angular velocity

D. Inversely proportional to its angular velocity

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A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

A. E

B. E/2

C. 2E

D. 4E

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Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

A. Rubber and lead balls undergo equal changes in momentum

B. Change in momentum suffered by lead ball is less that of rubber ball

C. Momentum of rubber ball is less than that of lead ball

D. None of these

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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. Only (i)

B. Only (ii)

C. Both (i) and (ii)

D. Both (i) and (iii)

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For a non-concurrent force system to be in equilibrium

A. Only the closure of force polygon is sufficient

B. Only the closure of funicular polygon is sufficient

C. Both force polygon and funicular polygon must close

D. None of the above

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When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by

A. g(M₁ + M₂ sin α)/(M₁ + M₂) m/sec

B. g(M₁ - M₂ sin α)/(M₁ + M₂) m/sec²

C. g(M₂ + M₁ sin α)/(M₁ + M₂) m/sec²

D. g(M₂ × M₁ sin α)/(M₂ - M₁) m/sec²

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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. sin (α + β)/sin (α - β)

B. sin (α - β)/sin (α + β)

C. cos (α - β)/cos (α + β)

D. tan (α - β)/tan (α + β)

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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. Sliding friction

B. Rolling friction

C. Limiting friction

D. None of these

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The centre of gravity of a triangle is at the point where three

A. Medians of the triangle meet

B. Perpendicular bisectors of the sides of the triangle meet

C. Bisectors of the angle of the triangle meet

D. None of these

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Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is

A. Maximum if it acts at the centre of gravity of the body

B. Different at different points on its line of

C. Same at every point on its line of action

D. Minimum if it acts at the C.G. of the body

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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. Zero

B. 5 m/sec

C. 10 m/sec

D. None of these

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The motion of a bicycle wheel is

A. Translatory

B. Rotary

C. Rotary and translatory

D. Curvilinear

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Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is

A. 2 sec

B. 3 sec

C. 4 sec

D. 5 sec

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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. A simple harmonic motion

B. A rectilinear motion with constant speed

C. A damped oscillatory motion

D. None of the above

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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. 15

B. 18

C. 20

D. 26

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μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

A. μ

B. 2μ

C. 3μ

D. ½μ

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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. Angle of repose

B. Angle of friction

C. Angle of inclination

D. None of these

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In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

A. 1.5

B. 5

C. 25

D. 314

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The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

A. sin θ

B. cos θ

C. tan θ

D. cosec θ

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The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

A. Supports

B. Quarter span

C. Mid span

D. None of the above

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If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is

A. 50 kg

B. 75 kg

C. 100 kg

D. 120 kg

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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

A. 102.5 kg

B. 105.5 kg

C. 108.5 kg

D. 110 kg

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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. 50 %

B. 40 %

C. 55 %

D. 30 %

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Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above

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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. Disc with larger density

B. Disc with smaller density

C. Both discs will have same rotational inertia

D. None of the above

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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. 0.5 m/sec

B. 1.5 m/sec

C. 2.5 m/sec

D. 3.5 m/sec

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Accepted Answer

B. Inversely proportional to periodic time

For a particle moving with a simple harmonic motion, the frequency is

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

One Newton is equivalent to

Periodic time of body moving with simple harmonic motion, is

A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

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

For a non-concurrent force system to be in equilibrium

When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by

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 maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known

The centre of gravity of a triangle is at the point where three

Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect 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

The motion of a bicycle wheel is

Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, 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 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

μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, 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

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string 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

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

Effect of a force on a body depends upon its

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 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

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For a particle moving with a simple harmonic motion, the frequency is

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

One Newton is equivalent to

Periodic time of body moving with simple harmonic motion, is

A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

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

For a non-concurrent force system to be in equilibrium

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

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 maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known

The centre of gravity of a triangle is at the point where three

Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect 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

The motion of a bicycle wheel is

Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, 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 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

μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, 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

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string 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

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

Effect of a force on a body depends upon its

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 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

Also checkout

When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by