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A thin unifrom rod 1 m long has mass 1 k...

A thin unifrom rod 1 m long has mass 1 kg. Find its moment of inertia and radius of gyration for rotation about a transverse axis through a point midway between its centre and one end.

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To solve the problem, we need to find the moment of inertia and the radius of gyration of a thin uniform rod of length 1 m and mass 1 kg about a transverse axis through a point midway between its center and one end. ### Step-by-Step Solution: 1. **Identify the Length and Mass of the Rod:** - Length (L) = 1 m - Mass (m) = 1 kg ...
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-SOLVED PROBLEMS - I -ROTATIONAL MOTION
  1. A body starts rotating from rest. Due to a torque of 10 N.m, it comple...

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  2. A torque of 160 N.m is applied to a body capable of rotating about a ...

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  3. A thin unifrom rod 1 m long has mass 1 kg. Find its moment of inertia ...

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  4. A solid sphere rolls up a plane inclined at 45^(@) to the horizontal....

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  5. A solid cylinder, of mass 2 kg and radius 0.1 m, rolls down an incline...

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  6. A solid sphere of radius 25 cm and mass 25 kg rotates about an axis th...

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  7. Two wheels, each of moment of intertia 4 kg. m^(2), rotate side by si...

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  8. A unifrom horizontal disc is freely rotating about a vertical axis thr...

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  9. A ballet dancer spins about a vertical axis at 100 rpm which arms outs...

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  10. The equation of linear SHM is x= 10sin ( 4pi t + pi/6) cm. Find the p...

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  11. Find the maximum velcoity and maximum acceleration of a particle perfo...

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  12. A particle performs SHM of ampiltude 10 cm. Its maximum velcoity durin...

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  13. The diameter of the reference circle for a particle performing linear ...

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  14. A load of mass 100 gm increases the length of wire by 10 cm. If the sy...

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  15. A particle performs a linear S.H.M. of period 3 second. The time taken...

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  16. A particle performs linear SHM of period 12 seconds and amplitude 8 cm...

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  17. A particle in linear SHM has speeds 4 cm/s and 3 cm/s when its displac...

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  18. The potential energy of a partical is SHM is 2 xx 10^(-4) J at the e...

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  19. The total energy of a particle of mass 0.1 kg performing SHM is 0.2 J...

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  20. A particle of mass 10 g is performing SHM. Its kinetic energies are 4....

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