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Question

Two masses 2 kg and 4 kg are connected at the two ends of a light inextensible string passing over a frictionless pulley. If the masses are released, then find the acceleration of the masses and the tension in the string.

A
a=3.33 m/s2 T=25.55N
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B
a=4 m/s2 T=30N
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C
a=4 m/s2 T=25N
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D
a=3.33 m/s2 T=26.67N
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Solution

The correct option is D a=3.33 m/s2 T=26.67NWhen the masses are released, then the masses move with common magnitude of acceleration a, a=M1−M2M1+M2g Given, M1=4kg,M2=2kg,g=10m/s2 ∴a=4−24+2×10=26×10=3.33m/s2 And tension T in the string is, T=2M1M2M1+M2×g =2×4×22+4×10=166×10=26.67N

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