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In the figure shown, if friction coeffic...

In the figure shown, if friction coefficient of block 1 kg and 2kg with inclined plane is `mu_(1) = 0.5` and `mu_(2) = 0.4` respectively, then

A

both block will move together

B

both block will move separately

C

there is non`-` zero contact force between two blocks

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
If we consider block `2 &1` independently then there accelerations would be for block `(1)`
`a_(1)=g sin theta -mu_(1)g cos theta = g [(sqrt(3))/(2)-(1)/(2)xx(1)/(2)]`
`=(g[2sqrt(3)-1])/(4)`
for block `(2)`
`a_(2)=g sin theta -mu_(2)g cos theta =g[(sqrt(3))/(2)-(2)/(5)xx(1)/(2)]`
`=(g)/(10)[5sqrt(3)-2]`
since `a_(2)gta_(1)` so both block will move separately.
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