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Two blocks A and B of mass 4m and m resp...

Two blocks A and B of mass 4m and m respectively, arc connected through a massless string passing through an ideal pulley. Initially block A is 4 m above the block B as shown in the figure. Now system is released at t = 0 sec. The velocity of the blocks at the instant when they cross the same level is `2sqrt(k)` m/s. Find the value of k.

Text Solution

Verified by Experts

`4mg - T=4ma`
`T-mg=ma`
`a=(3g)/(5), x=(1)/(2)at^(2)`
`4-x=(1)/(2)at^(2)rArr x = (1)/(2)at^(2)`
`t=sqrt((4)/(a))=sqrt((20)/(3g))=sqrt((2)/(3))` sec.
`v_(A)=v_(B)=at=sqrt(24)m//s = 2 sqrt(6)m//s`.
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