Question

In the system shown find the initial acceleration of the wedge of mass 5m

Answer 1

Answer:

Acceleration of 5M block is 2g/23

Explanation:

Concept of Pseudo force is involved in this question....

Free body diagram  in pdf attached at the bottom.

Let acceleration of 5M block be " b " and of M and 2M be " a ".

For 2M block,

2Mg - T=2Ma.................................1

N=2Mb............................2

For M block,

T + Mb=Ma.................3

N1 = Mg......................4

For 5M block,

T + N2= N1+ 5Mg....................5

T- N = 5Mb.......................6

From 2 and 6

T=7Mb..........................7

From 7 and 5

7Mb + N2 = 6Mg...........................8

From 3,

T + Mb=Ma

Ma=8Mb

b=a/8...........................9

Put values of N and N1 in 5       [N1 = Mg] and [N=2Mb]

2Mg + M = 3Ma

2g+b=3a

From 9,

2g +b=3(8b)      [b=a/8]

2g-=23b

b=2g/23

This question requires a lot of patience, concentration and lot of concepts are involved in it. Be patient while reading the answer.

39a5664cdb1380ae83900b8632b52a51.pdf