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A block of mass m lies on wedge of mass....

A block of mass m lies on wedge of mass. Mas shown in figure.

With what minimum acceleration must the wedge be moved towared right horizontally so that block m falls freely.

Text Solution

Verified by Experts

The correct Answer is:
`a=gcottheta`
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A block of mass mlies on wedge of mass M as shown in figure. Answer following parts separately. (a)Withwhat minium acceleration must the wedge be moved towards right horizontally so that block m falls freely. ( b)Find the minimum friction coefficient required between wedge M and ground so that it does not move while block m slips down on it.

A block of mass m lies on wedge of mass Mas shown in figure. Find the minimum friction coeffcient required between wedge Mand ground so that it does not move while block m slips down on it.

Knowledge Check

  • A small block of mass m rests on a smooth wedge of angle theta . With what horizontal accelaration a should the wedge be pulled, as shown in fig, so that the block falls freely?

    A
    `g cos theta`
    B
    `g sin theta`
    C
    `g cot theta`
    D
    `g tan theta`

  • A block of mass m resting on a wedge of angle theta as shown in the figure. The wedge is given an acceleration a. What is the minimum value of a so that the mass m falls freely ?

    A
    g
    B
    `gcostheta`
    C
    `gcottheta`
    D
    `g tan theta`

  • A block of mass 1 kg is placed on a wedge shown in figure. Find out minimum coefficient of friction between wedge and block to stop the block on it.

    A
    0.6
    B
    0.9
    C
    1
    D
    0.2

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