Question

Consider the situation in the figure. All the surfaces are frictionless and string and pulley are light. Find magnitude of acceleration of two blocks.

25. Consider the situation shown in figure (5-E9). All the surfaces are frictionless and the string and the pulley are light. Find the magnitude of the acceleration of the two blocks.

Answer 1

Given :

Mass of each block is 1 kg,

sin θ1=4/5,

sin θ2=3/5.

The free-body diagrams for both the boxes are shown below:

mgsinθ1 − T = ma    …(i)

T − mgsinθ2 = ma    …(ii)

Adding equations (i) and (ii),we get:

mg(sinθ1 − sinθ2) = 2ma

⇒ 2a = g (sinθ1 − sinθ2)

⇒a=g/5×1/2    

=g/10

Answer 2

Answer:

Explanation:

Given,Reset as

Here.           SinΦ1=4/5

We know,g sinΦ-(a+T)=0

>>       g sinΦ1=a+T.      .....(1)

Again,        sinΦ2=3/5

We know,T-g sinΦ2-a=0

>>     T=g sinΦ2+a.      .....(2)

Fron equation(1,2)

g sinΦ2 +a+a-g sinΦ2

>> a=g/5 x 1/2

>> g/10