Question

Figure 5-E8
at
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
ing
two blocks.
hal
al
1.0 kg
3 m
1.0 kg
4 m
5 m
Figure 5-E9​

Answer 1

Answer:

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

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Solution

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Correct option is

C

g / 10 m/ s

2

Given :

Mass of each block is 1kg

sinθ

1

=

5

4

sinθ

2

=

5

3

.

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

mgsinθ

1

−T=ma …(i)

T−mgsinθ

2

=ma …(ii)

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

mg(sinθ

1

−sinθ

2

)=2ma

⟹2a=g(sinθ

1

−sinθ

2

)