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A uniform chain of length 1 and mass m i...

A uniform chain of length 1 and mass m is kept on a smooth table. It is released from rest when the overhaning part was `n^(th)` fraction of total length. Find the kinetic energy of the chain as it completely slips off the table

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Work done `Delta W = U_(i) - U_(f) = K_(f) - K_(i)`
`(Mgl)/(2) - (Mgl)(2n^(2)) = 1/2(Mv^(2)) v = sqrt((gl[1 - 1/n^(2)])`
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NARAYNA-WORK , ENERGY & POWER -EXERCISE IV
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  2. A large slab of mass 5kg lies on a smooth horizontal surface, with a b...

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  4. A chain AB of length l is located in a smooth horizontal tube so that ...

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  5. A ball of mass m is released from A inside a smooth wedge of mass m as...

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  6. A bob of mas M is suspended by a massless string of length L. The hor...

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  7. A simple pendulum is vibrating with an angular amplitude of 90^(@) as ...

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  8. A projectile is fixed on a horizontal ground. Coefficient of restituti...

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  9. A ball A of mass 3 m is placed at a distance d from the wall on a smoo...

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  10. Figure given below shows the variation of potential energy function U(...

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  11. A particles moves along a circle of a fixed radius with a variable acc...

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  12. A particle is moving along a circle of fixed radius such thta the powe...

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  13. Two blocks having masses 8 kg and 16 kg are connected to the two ends ...

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  14. Figure shows a spring fixed at the bottom end of an incline of inclina...

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  15. A heavy flexible uniform chain of length pi r and mass lambda pi r lie...

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  16. A body slides without friction from a height H = 60 cm and then loops ...

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  17. A heavy particle hanging from a fixed point by a light inextensible st...

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  18. A cricket ball of mass 150 g moving with a speed of 123 km/h hits at t...

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  19. n elastic balls are placed at rest on a smooth horizontal plane which ...

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  20. The 50 N collar starts from rest at A and is lifted with a constant sp...

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  21. A hose pipe has a diameter of 2.5 cm and is required to direct a jet o...

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