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Question

Two masses m1 and m2 are attached to string which pass over a frictionless fixed pulley. Given that m1=10kg and m2=6kg and g=10ms2. What is the acceleration of the masses?

A
2.5ms2
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B
5ms2
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C
20ms2
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D
40ms2
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Solution

The correct option is A 2.5ms2
As the pulley is frictionless so the magnitude of the acceleration both masses are equal.

From FBD,

For m1:m1a=m1gT...(1)

For m2:m2a=Tm2g...(2)

(1)+(2)

a(m1+m2)=g(m1m2)

or a=m1m2m1+m2g=10610+610=2.5m/s2

174635_136920_ans_ccb35d65d8b14f98be7ab725c964e0f2.png

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