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Chain is on the verge of slipping, find ...

Chain is on the verge of slipping, find the velocity of the chain, when it has slipped.

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A uniform chain of mass m and length llt(piR)/(2) is placed on a smooth hemisphere of radius R with on of its ends fixed at the top of the sphere. (a) Find the gravitational potential energy of chain assuming base of hemisphere as reference. (b) what will be the tangential acceleraion of the chain when it starts sliding down. (c ) If the chain slides down the sphere, find the kinetic energy of the chain when it has slipped through an angle beta .

AS chain of length l and mass m lies o the surface of a smooth sphere of radius Rgtl with one end tied to the top of the sphere. a.Find the gravitational potential energy of the chain with reference level at the centre of the sphere. B. suppose the chin is released and slides down the sphere. Find the kinetic eneergy of the chain, when it has slid through an angle theta c. find the tangential acceleration (dv)/(dt) of the chain when the chain starts sliding down.

Knowledge Check

  • The system shown is just on the verge of slipping. The coefficient of static friction between the block and the table top is :

    A
    0.5
    B
    0.95
    C
    0.15
    D
    0.35
  • A chain AB of length L is lying in a smooth horizontal tube so that a fraction h of its length L, hangs freely and touches the surface of the table with its end B. At a certain moment, the end A of the chain is set free. The velocity of end A of the chain, when it slips out of tube, is

    A
    `hsqrt(2g/Lh)`
    B
    `sqrt(2ghlog_(e)(L/h))`
    C
    `sqrt(2gl log_(e)(L/h))`
    D
    `1/hLsqrt2g`
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