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Question

In the arrangement shown in the Figure all surfaces are frictionless, the masses of the block are m1=20kg and m2=30kg. The accelerations of masses m1 and m2 will be if F=180N.
1045685_ff6017129ec54e2ba4e5e66b1de33aea.png

A
am1=9m/s2,am2=0
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B
am1=9m/s2,am2=9m/s2
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C
am1=0,am2=9m/s2
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D
None of these
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Solution

The correct option is A am1=9m/s2,am2=0
For mass m1
F=ma
am1=Fm=18020=9m/s2
am1=9m/s2
For mass m2
There would be no force on m2, there is only tension on m1 that is F because the pulley is ideal mass less and frictionless if there is friction between m1 and m2 then m2 would have acceleration but there is no friction so, acceleration of m2 will be zero.
am2=0

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