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Question

Two masses M1 and M2 are attached to a string, which passes over a friction-less fixed pulley as shown in the fig. Given that M1=10kg,M2=6kg and g=10ms−2. What is the acceleration of the masses?
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A
40ms2
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B
20ms2
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C
5ms2
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D
2.5ms2
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Solution

The correct option is D 2.5ms2
Let acceleration of system of mass is a
let m1 is greater than m2 then, acceleration of mass m1
in downward and acceleration of mass m2 in upward.
for mass m1
m1gT=m1a...................(1)
for mass m2
m2gT=m2a...................(2)
here, T is tension in string.
solve equation (1) and (2)
m1gm2g=m1a+m2a
a=(m1m2)g(m1+m2)
now put value of m1, m2
so,a=(106)10(10+6)a=2.5m/s2
Hence,
option D is correct answer.

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