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Two masses m(1) and m(2) are connected b...

Two masses `m_(1)` and `m_(2)` are connected by light inextensible string passing over a smooth pulley `P`. If the pulley moves vertically upwards with an acceleration equal to g then
.

A

Tension on the string is `(4m_(1)m_(2)g)/(m_(1)+m_(2))`

B

Tension on the string is `(2m_(1)m_(2)g)/(m_(1)+m_(2))`

C

The acceleration of mass `m_(1)` with respect to ground is `(3m_(2)-m_(1))/(m_(1)+m_(2))g` .

D

The acceleration of mass `m_(1)` with respect to ground is `(2(m_(2)-m))/(m_(1)+m_(2))g`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`T = (4m_(1)m_(2)g)/(m_(1)+m_(2))`
`a=(2(m_(2)-m_(1))g)/(m_(1)+m_(2))rArra_(ground)=(3m_(2)-m_(1))/(m_(1)+m_(2))g` .
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