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A mass m slides down a smooth inclined p...

A mass m slides down a smooth inclined plane of inclination `alpha` and draws another mass from rest through a distance d meter in t second along a smooth horizontal table which is on level with the top of the plane over which the string passes. Find m' /m.

Answer

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Knowledge Check

  • A block of mass m can slide on a smooth inclined plane of inclination theta kept on the floor of a lift . When the lift is descending with retardation a,

    A
    The acceleration of block relative to inclined is `( g - a) sin theta `
    B
    The normal force on block by the incline is `m(g + a) costheta`
    C
    The acceleration of block relative to ground is g
    D
    The acceleration of block relative to incline is (` g + a )sin theta `

  • A block slides down a smooth inclined plane when released from the top, while another falls freely from the same point :

    A
    sliding block will reach the ground first with greater speed
    B
    freely falling block will reach the ground first with greater speed
    C
    both the blocks will reach the ground at the same time but with different speeds
    D
    both the blocks will reach the ground with same speed but the freely falling block first

  • A block of mass m is placed on a smooth inclined plane of inclination theta with the horizontal. The force exerted by the plane on the block has a magnitude

    A
    mg
    B
    `mg/costheta`
    C
    `mg costheta`
    D
    `mg tantheta`

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