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Show that the torque acting on a body is...

Show that the torque acting on a body is equal to the product of moment of inertia and the angular acceleration of the body.

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To show that the torque acting on a body is equal to the product of moment of inertia and the angular acceleration of the body, we can follow these steps: ### Step 1: Define Torque Torque (\( \tau \)) is defined as the product of the radius vector (\( r \)) and the force (\( F \)) applied at that radius, mathematically expressed as: \[ \tau = r \times F \] ...
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When a body is hinged at a point and a force is acting on the body in such a way that the line of action of force is at some distance from the hinged point, the body will start rotating about the hinged point. The angular acceleration of the body can be calculated by finding the torque of that force about the hinged point. A disc of mass m and radius R is hinged at point A at its bottom and is free to rotate in the vertical plane. A force of magnitude F is acting on the ring at top most point. Tangential acceleration of the centre of mass is

When a body is hinged at a point and a force is acting on the body in such a way that the line of action of force is at some distance from the hinged point, the body will start rotating about the hinged point. The angular acceleration of the body can be calculated by finding the torque of that force about the hinged point. A disc of mass m and radius R is hinged at point A at its bottom and is free to rotate in the vertical plane. A force of magnitude F is acting on the ring at top most point. Component of reaction at the hinge in the horizontal direction is

ICSE-CIRCULAR MOTION -MODULE 2 (SHORT ANSWER QUESTIONS)
  1. What is the torque exerted by the gravitational force of sun on the ea...

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

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

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

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

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  6. The dimensional formula for angular momentum is

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

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

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

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  10. Derive an expression for the rotational kinetic energy.

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

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

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  13. The equatorial diameter of the earth is greater than the polar diamete...

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  14. The torque acting on a particle about an arbitrary origin is zero, wha...

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  15. Can you calculate the torque acting on a rigid body without specifying...

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  16. It is easier to keep your balance on a moving bicycle than on a bicycl...

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  17. A cat is at rest on a horizontal turn table mounted on a vertical axis...

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  18. A particle moves in a circular path with constant speed .Find out a po...

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  19. State the laws of motion for rotating bodies.

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  20. While walking across a narrow railroad track, suppose you start to los...

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