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A block of mass m is placed on a smooth...

A block of mass m is placed on a smooth wedge of inclination `theta`. The whole system is accelerated horizontally, so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be

A

`mg sin theta`

B

`F sin theta`

C

`mg//cos theta`

D

`mg cos theta`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A block of mass m is placed on a smooth wedge of incination theta . The whole system s acelerated horizontally so tht the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude

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

  • A block of mass m is placed on a smooth wedge of wedge angle theta The whole system is accelerated horizontally so that the block does not slip on the wedge. The force (normal reaction) exerted by the wedge on the block has a magnitude:

    A
    `mg tan theta`
    B
    `(mg)/(cos theta)`
    C
    mg
    D
    `mg cos theta`

  • A block of mass m is kept on an inclined plane of mass 2m and inclination alpha to horizontal. If the whole system is accelerated such that the block does not slip on the wedge then :

    A
    The normal reaction acting on `2m` due to `m` is `mg sec theta`
    B
    For the block `m` to remain at rest with respect to wedge a force `F = 3mg tan alpha` must be applied on `2m`
    C
    The normal reaction acting on `2m` due to `m` is `mg sec theta`
    D
    Pseudo force acting on `m` with respect to ground is `mg tan alpha` towards west.

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