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Question

Two blocks of masses 10 kg and 20 kg are connected by a light string passing over a frictionless pulley as shown in the figure, the angle of inclination is 30. If the system is released, the blocks move with an acceleration of

A
g2 m/s2
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B
g4 m/s2
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C
g6 m/s2
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D
g8 m/s2
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Solution

The correct option is A g2 m/s2
Using FBD of the masses

T10 gsin30=10a ...(1)
20gT=20a ...(2)
Solving (1) and (2) to get the value of acceleration a
30a=20g5g
a=15g30=g2 m/s2

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