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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 downward
From 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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