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A  wedg ewith mass M rests on a frictionless horizontal tabletop . A block with mass m is placed on the wedge There is no friction between the block and the wedge the system is released from rest . calculate the acceleration of the wedge.

Asked by Srishti Ananya | 14 Jul, 2019, 11:29: AM
Since centre of mass is not moving, acceleration of centre of mass is zero.

If am is acceleration of block of mass m and aM is acceleration of wedge of mass M,

then we have ,     m × a+ M × aM  = 0

hence we get,     aM =  -(m/M) × am = -(m/M)×gsinθ

where g is acceleration due to gravity and θ is angle of wedge as shown in figure
Answered by Thiyagarajan K | 14 Jul, 2019, 05:11: PM

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