Processing math: 100%

A light rope is attached to a block with mass 4kg that rests on a frictionless, horizontal, and surface. The horizontal rope passes over a frictionless pulley and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 10N. Draw free body diagrams and calculate the acceleration of either block and the mass m of the hanging block.


Let m be the mass hanged at the other end of the rope.
Tension in the rope (T)=10N
Now for 4kg
F=T=ma

a=Tm=104=2.5m/s2
For mass m
T=mgma
or, m(ga)=T    ⇒   m=T(ga)=10102.5=1.33kg

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