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A system consists of three masses m(1),m...

A system consists of three masses `m_(1),m_(2) " and " m_(3)` connected by a string passing over a pulley P. The mass `m_(1)` hangs freely and `m_(2) " and " m_(3)` are on a rough horizontal table (the coefficient of friction=`mu`). The pulley is frictionless and of negligible mass. The downward acceleration of mass `m_(1)` is (assume, `m_(1)=m_(2)=m_(3)=m`)

A

`g (1 - 2 mu) //3`

B

`g (1 - 2 mu)//2`

C

`g (1 - g mu)//9`

D

`2 g mu //3`

Text Solution

Verified by Experts

The correct Answer is:
A
a = `("Net pulling force")/("Total mass")`
`a = (mg - mu (2mg))/(3m)`
`a = ((1- 2mu) g)/(3)`
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