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A box of dimensions l and b is kept on a...

A box of dimensions l and b is kept on a truck moving with an acceleration a. if box does not slide, maximum acceleration for it to remain in equilibrium (w.r.t. truck) is

A

`(gl)/b`

B

`(gb)/l`

C

g

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B


`tau_(cm)=f_(s)xxl/2-Nxx x`
For extreme case `tau_(cm)=f_(s)xxl/2-Nxx b/2=0`
`(mal)/2-mgxxb/2=0` (`f_(s)=ma, N=mg`) `rArr a=(gb)/l`
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