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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
=> Tm1g=ma ____eq(1)
» For mass m2
=> m2gT=m2a. ____eq(2)
» By eq(1) + eq(2)
=> (m2m1)g = (m1+m2)a
=> a=(m2m1)g/(m1+m2)
=> a=(43)×10/(4+3)
=>a=1×10/7=10/7
=> a=33.6ms2


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