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For calculating the moment of inertia of...

For calculating the moment of inertia of a body can we assume the whole mass of the body to be concentrated at its centre of mass ?

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To determine whether we can assume the whole mass of a body to be concentrated at its center of mass for calculating the moment of inertia, we need to analyze the concept of moment of inertia itself. ### Step-by-Step Solution: 1. **Understanding Moment of Inertia**: - The moment of inertia (I) of a body about a given axis is defined as the sum of the products of the mass elements (dm) of the body and the square of their distances (r) from the axis of rotation. Mathematically, it is expressed as: \[ I = \int r^2 \, dm ...
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The mass of a body cannot be considered to be concentrated at the centre of mass of the body for the purpose of computing its moment of inertia. For then the moment of inertia of every body about an axis passing through its centre of mass would be zero.

Assertion:The moment of inertia of rigid body depends only on the mass of the body, its shape and size. Reason: Moment of inertia I = MR^2 where M is the mass of the body and R is the radius vector.

If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is

ICSE-CIRCULAR MOTION -MODULE 2 (SHORT ANSWER QUESTIONS)
  1. "The rotational vectors are represented by straight lines lying along ...

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  2. Show on a diagram the vector that would represent the angular velocity...

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  3. For calculating the moment of inertia of a body can we assume the whol...

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  4. Derive an equation for the angle covered by, a rotating rigid body in ...

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  5. Define moment pf inertia. Name the factors on which the moment of iner...

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  6. What is the physical significance of moment of inertia ?

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  7. Radius of gyration has the unit

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  8. Name a physical quantity which has the same dimensions as that of torq...

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  9. What is the torque exerted by the gravitational force of sun on the ea...

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  10. If there is no external force acting on a nonrigid body, which of the ...

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  11. An electron moves round the nucleus of an atom, in a circular path. Wh...

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  12. Show that the torque acting on a body is equal to the product of momen...

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  13. The angular momentum of a body with mass (m) moment of inertia (I) and...

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  14. The dimensional formula for angular momentum is

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  15. Write down the relation connecting torque and angular momentum ?

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  16. State and prove the law of conservation of angular momentum.

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  17. Write down the equation for the work done in rotatory motion.

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  18. Derive an expression for the rotational kinetic energy.

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  19. Name the factors on which the rotational kinetic energy depend.

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  20. A hollow sphere and a solid sphere of the same dimensions rotate about...

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