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Two blocks m(1) and m(2) are placed on a...

Two blocks `m_(1)` and `m_(2)` are placed on a smooth inclined plane as shown in figure. If they are released from rest. Find :

(i) acceleration of mass `m_(1)` and `m_(2)`
(ii) tension in the string
(iii) net force on pulley exerted by string.

Text Solution

Verified by Experts

F.B.D. of `m_(1)` :
`m_(1)gsintheta-T=m_(1)a`

`(sqrt(3))/(2)g-T=sqrt(3)a . . . . . . . . .(i)`
F.B.D. of `m_(2)` :
`T-m_(2)gsintheta=m_(2)a`

`T-1.(sqrt(3))/(2)g=1.a . . . . . . . . . .(ii)`
Adding e.q. (i) and (ii) we get a=0 Putting this value in eq. (i) we get
`T=(sqrt(3)g)/(2)`
F.B.D. of pulley
`F_(R)=sqrt(2)T`
`F_(R)=(sqrt(3))/(2)g`
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