The answer shoud be 39 ms2 The answer shoud be 39 ms2 A wood

A wooden block A of mass 7.0 kg is connected to a pulley system to another lock R of mass 7.0 kg as shown in the figure below. What is the acceleration of block B

Solution

Suppose acc. of block A is a then acc. of block B will be 2a.

on block B:

7g - T = 7(2a)

7g - T =14a ........(i)

on block A:

2T - 7g = 7a

T - 3.5g = 3.5a ......(ii)

(i) + (ii) = >

7g - 3.5g = (14 + 3.5)a

a = 1.96 m/s^2

acc. of block B = 2a = 3.92 m/s^2

and direction is downward.