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A wooden wedge of mass M and inclination...

A wooden wedge of mass M and inclination anlgle`(alpha)` rest on a smooth floor. A block of mass m is kept on wedge.A force F is applied on the wedge as shown in the figure such that block remains stationary with respect to wedge So, magnitude of froce F is

A

(M+m)g tan `alpha`

B

g tan `alpha`

C

mg cos `alpha`

D

(M+m)g cosec `alpha`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Block of mass m is stationary w.r.t. wedge. Normal force exerted by wedge on the block is

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

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