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Question: Three blocks of masses 3 kg, 6 kg and 1 kg are connected by a string passing over two smooth pulleys...

Three blocks of masses 3 kg, 6 kg and 1 kg are connected by a string passing over two smooth pulleys attached at the two ends of a frictionless horizontal surface. The acceleration of 3 kg mass is

A

1 ms-2

B

2ms-2

C

3ms-2

D

4ms-2

Answer

2ms-2

Explanation

Solution

Here T1 – T2 = 6a,

T2 – 1g = and 3g – T1 = 3a = 3a

Adding of the above three equations give

10a = 3g - 1g = 2g

or a = 210 g=210×10=2 ms−2\frac { 2 } { 10 } \mathrm {~g} = \frac { 2 } { 10 } \times 10 = 2 \mathrm {~ms} ^ { - 2 }