All the surfaces are assumed to be frictionless The block of mass m slides on the prism which in - Physics - Force and Laws of Motion

Question

All the surfaces are assumed to be frictionless The block of mass m
slides on the prism which in turn slides backward on the horizontal
surface Find the acceleration of the smaller block with respect to
the prism

Shobhit Mittal · Accepted Answer

Dear Student,

normal rxn between them:N,  acc
of prism w r t ground:A  acc
of block w r
t prism:ar  now,first we will equate forces on prism
  Nsinθ=MA        ----------(1)  now, consider forces on block,  mar==mgsinθ + mAcosθ  -----------(2)  N=mgcosθ - mAsinθ -----------(3)  solve (1),(2),(3) to get your answer which isar  =gsinθM+mM+msin2θRegards

All the surfaces are assumed to be frictionless. The block of mass m slides on the prism which in turn slides backward on the horizontal surface. Find the acceleration of the smaller block with respect to the prism.