Question

Find the relation between acceleration of the blocks in the figure.
The pulley and the strings are massless. (where a = acceleration
of m and A = is the acceleration of M)​

Answer 1

Answer:

The pulley and the strings are massless. (where a = acceleration

of m and A = is the acceleration of M)​

Explanation:

Let the block of mass M moves a distance X towards right than the distance moved by the pulley in the forward direction is =XM.

increase in length of the thread due to movement of the pulley =2XM

Let the  block of mass m moves a distance of x towards right

Decrease in length of the thread due to movement of the block of mass

m =xm.

As the length of the thread remains constant

so increase in length = decrease in length

2XM=xm

differentiating the above relation with respect to time we get the relation between their velocity

d(2XM)/dt=d(xm)/dt

2VM=vm

differentiating the above relation with respect to time we get the relation between their accelerationd

(2VM)/dt=d(vm)/dt

2AM=am

Answer 2

Answer:

a=2A

Explanation:

We have to let the tension due to M be 2T So tension on m be T.

Therefore a = 2A