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Question

# Two masses of 3 kg and 4 kg are connected at two ends of a light inextensible string that passes over a frictionless pulley. Find the tension in the string when the masses are released (g = 9.8 m/s2).

A
43.6 N
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B
53 N
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C
22 N
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D
33.6 N
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Solution

## The correct option is D 33.6 N» smaller mass = m1=3kg» larger mass =m2=4kg» Tension = T» For mass m1=> T−m1g=ma ____eq(1)» For mass m2=> m2g−T=m2a. ____eq(2)» By eq(1) + eq(2)=> (m2−m1)g = (m1+m2)a=> a=(m2−m1)g/(m1+m2)=> a=(4−3)×10/(4+3)=>a=1×10/7=10/7=> a=33.6ms−2

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