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A uniform stick of mass M is placed in a...

A uniform stick of mass `M` is placed in a frictionless well as shown. The stick makes an angle `theta` with the horizontal. Then the force which the vertical wall exerts on right end of stick is `:`

A

`(Mg)/(2 cot theta)`

B

`(Mg)/(2 tan theta)`

C

`(Mg)/(2 cos theta)`

D

`(Mg)/(2 sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
B
The free body diagram of rod is Where `N_(x)` and `N_(y)` are horizontal and vertical components of reaction exerted by wall on rod. Net torque on rod about left end `A` is zero.
`:. Mg`` (l)/(2)cos theta =N_(x)l sin theta `
`rArr N_(x)=(Mg)/(2tan theta )`
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