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CBSE Class 12-science Answered

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
answered-by-expert Expert Answer
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 × am  + 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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