Question

5
59. In figure shown, if the magnitude of acceleration of
m, is 2N m/s2, given that the string is
inextensible and the acceleration of M is 2 m/s2
towards left, then find N
m
M​

Answer 1

Answer:

Using the constraints, if the wedge moves by an amount 'x' towards left the total string that is released in '4x'.

and the displacement of the string along the incline of the wedge be 'y'

Or, y=4x or, dt2d2y​=4dt2d2x​

i.e,aalong​=4a

and aplank​=a

From the above figure anet​=aplank2​+aalong2​+2aalong​aplank​cos(180−α)

​

or anet​=a17−8cosα

​ms−2

Explanation: