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A uniform beam of mass m is inclined at ...

A uniform beam of mass m is inclined at an angle`theta` to the horizontal. Its upper end produces a ninety degree bend in a very rough rope tied to a wall and it's lower end rests on a rough floor. If coefficient of static friction between beam & floor is ` mu _(s)` determine the maximum value of M that can be suspended from the top before the beam slips.

A

`(m ( mu_(2) sin theta))/(2(cos theta - mu_(s) sin theta))`

B

`(m( 2 mu_(s) sin theta - cos theta))/(2 (cos theta - mu_(s) sin theta))`

C

`(m)/(4) ((mu _(s) sin theta))/( (2 cos theta - mu _(s) sin theta))`

D

`(m)/(2) ((mu _(s) sin theta))/((2 cos theta - mu_(s) sin theta))`

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The correct Answer is:
B
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