A block was released on the convex surface of hemispherical wedge as shown in the figure below. Determine the displacement of the wedge when the block reaches the angular position θ.
A
mRcosθM+m to the right
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B
mRsinθM+m to the right
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C
mRcosθM+m to the left
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D
mRsinθM+m to the left
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Solution
The correct option is DmRsinθM+m to the left m1Δ→x1+m2Δ→x2=0 m(Rsinθ−x)−Mx=0 x=mRsinθm+M