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Question

# When block is placed on a wedge as shown in figure, the block starts sliding down and the wedge also starts sliding on ground. All surfaces are rough. The centre of mass of (wedge + block) system will move

A
leftward and downward
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B
rightward and downward
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C
leftward and upwards
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D
only downward
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Solution

## The correct option is B rightward and downwardFrom the FBD of wedge, Due to the horizontal component (Nx) of normal reaction (N) wedge will accelerate along left direction. ⇒ To oppose relative motion, f will act rightwards. F.B.D for system of (wedge + block), let mass of block and wedge be m, M. Due to external force ′f′ along rightwards. C.O.M of system move towards right. Wedge is not displaced along vertical direction, however due to motion of block along down the wedge. ⇒ C.O.M of (wedge + block) will move downwards. Hence, option (b)

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