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This mock test of Rigid Body Dynamics MSQ for Physics helps you for every Physics entrance exam.
This contains 10 Multiple Choice Questions for Physics Rigid Body Dynamics MSQ (mcq) to study with solutions a complete question bank.
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*Multiple options can be correct

QUESTION: 1

In the shown figure, the pulley of mass ** M** and radius

Solution:

The acceleration of three sections of rope 1, 2, 3 are as shown.

Hence for the section of rope in contact with pulley, acceleration increases till the section looses contact with pulley.

Due to friction between string and pulley, the tension in right portion of string is larger in comparison to tension in the left portion of string.

The correct answers are: Magnitude of force exerted by string on mass **m**_{2} is larger as compared to that exerted by string on mass **m**_{1}., The acceleration of small length dℓ of string in contact with block of mass **m**_{2} remains constant.

*Multiple options can be correct

QUESTION: 2

A smooth tube of certain mass is rotated in gravity free space and released. The two balls shown in the figure move towards ends of the tube. For the whole system which of the following quantity is conserved?

Solution:

As Angular momentum, conserved. ** F** = 0, linear momentum will remain compound.

As the two balls will move radially out, ** I** changes. In order to keep the angular momentum conserved, angular speed (ω) should change.

The correct answers are: Angular momentum, Linear momentum, Kinetic energy

*Multiple options can be correct

QUESTION: 3

A ladder ** AB** is supported by a smooth vertical wall and rough horizontal floor as shown. A boy starts moving from

Solution:

Let ** m** and

Hence ** f** must increases.

The correct answers are: Magnitude of normal reaction by wall on ladder at point ** B** will increase., Magnitude of normal reaction by floor on ladder at point

*Multiple options can be correct

QUESTION: 4

A uniform disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc :

Solution:

As the disc is in combined rotation and translation, each point has a tangential velocity and a linear velocity in the forward direction.

From figure

** v_{net}** (for lower point) =

and Acceleration

(Since linear speed is constant

The correct answers are: Velocity is zero, acceleration is v^{2}/R

*Multiple options can be correct

QUESTION: 5

A uniform rod ** AC** of length ℓ and mass

Solution:

The ball has * v'*, component of its velocity perpendicular to the length of rod immediately after the collision.

using for the point of collision.

Velocity of separation = Velocity of approach

Conserving linear momentum (of rod + particle), in the direction ⊥ to the rod.

Conserving angular moment about point ‘*D*’ as shown in the figure

In the same time, distance travelled

Using angular impulse-angular momentum equation.

The correct answers are: The angular velocity of the rod will be The centre of the rod will travel a distance in the time in which it makes half rotation, Impulse of the impact force is

*Multiple options can be correct

QUESTION: 6

A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?

Solution:

All points in the body in plane perpendicular to the axis of rotation revolve in concentric circles. All points lying on circle of same radius have same speed (and also same magnitude of acceleration) but different directions of velocity (also different directions of acceleration)

Hence there cannot be two points in the given plane with same velocity or with same acceleration.

As mentioned above, points lying on circle of same radius have same speed.

Angular speed of body at any instant w.r.t. any point on body is same by definition.

The correct answers are: Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same., Angular speed of the body is same as seen from any point in the body

*Multiple options can be correct

QUESTION: 7

A uniform disc of mass 2* kg* and radius 1

Solution:

By ** FBD** of particular

10 –

BY ** FBD** of disc

By equation (1) and (2)

* a* = 5

and

For angular displacement of disc

Work done by torque

**K**_{2} – **K**_{1} = 200**J**

The correct answers are: the tension in the cord is 5 ** N**, in first 4

*Multiple options can be correct

QUESTION: 8

A uniform bar of length 6* a* and mass 8

Velocity of the centre of mass of the system is :

Solution:

(i) Conserving linear momentum

–2** mv** + 2

(ii) As ball stick to Rod

Conserving angular momentum about

*Multiple options can be correct

QUESTION: 9

A ball of mass * m* moving with constant velocity

Solution:

As the normal force exerted by horizontal surface passes through point ** B**, external torque on the ball is zero about point

The correct answers are: point ** A**, point

*Multiple options can be correct

QUESTION: 10

In the pulley system shown, if radii of the bigger and smaller pulley are 2* m* and 1

Solution:

The correct answers are: Angular acceleration is 2.5 *rad*/*s*^{2}, Acceleration of ** B** is 2.5

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