1.

In the system shown in figure, the block A is released from rest. Find theacceleration of both blocks ‘A’ and ‘B’.

Answer»


Solution : Let acceleration of blocks in x & ydirectionsare

Takingboth blocks as a system
`T=2mb . . . .. .. (i)`

Taking A BLOCK :
`mg – T = ma "" . . . . . . . . . (II)`
From EQUATIONS (i) & (ii) ,
`ma + 2 mb = mg`
` a + 2 B = g"" .. . . . . . . . .(III)`
From string constraint ,
`a=b"". . . . . . . . . . .(iv)`
From equations (iii) & (iv),

`a=b=(g)/(3)`
hence, acceleration of block A
`a_(A)=bhat(i)-ahat(j)""a_(A)=g/3hat(i)-g/3hat(j)`
acceleration of block B
`a_(B)=bhat(i)=(g)/(3)hat(i)`


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