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In rotational motion of a rigid body, al...

In rotational motion of a rigid body, all particles move with

A

Same linear and angular velocity

B

Same linear and different angular velocity

C

With different linear velocities and same angular velocities

D

With different linear velocities and different angular velocities

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Just as mass plays the role of inertia in translatory motion, moment of inertia plays the same role in rotational motion hence it is known as rotational inertia. Basically, in rotational motion of a body, all the particles of the body moves in concentric circular paths. The moment of inertia of a particle of mass m which is moving on a circular path of radius r is given by mr^(2) . If mass m of a body is continuosusly distributed, the moment of inertia of such a body is given by int r^(2) dm , where dm is mass element such that all the particle lying on this element moves on a circular path of radius r. With the help of above mentioned theory we can calculate the moment of inertia of different bodies, and the conclusion is that the moment of inertia depends upon the following factors : 1. Mass of the body 2. Axis of rotation 3. Distribution of mass 4. Dimensions of the body If the two bodies have all the four points same then they will have the same moment of inertia If same torque is applied on two bodies having different moment of inertia

    A
    the body which is having greater moment of inertia will have more angular acceleration
    B
    the body which is having greater moment of inertia will have lower angular acceleration
    C
    both will accelerate with same magnitude
    D
    None of these

  • Assertion : In rotational plus translational motion of a rigid body, different particles of the rigid body may have different velocities but they will have same accelerations Reason : Translational motion of a particle is equivalent to the translation motion of a rigid body.

    A
    If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion
    C
    If Assertion is true but Reason is fasle
    D
    If Assertion is false but Reason is true

  • The motion of a ceiling fan is rotational only. The motion of a rigid body which is pivoted fixed of rotation.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false
    D
    If both assertion and reason are false.

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