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In the figure shown if friction co-effic...


In the figure shown if friction co-efficient of block 1 and 2 with inclined plane is `mu_1=0.5` and `mu_2=0.4` respectively, then find out the correct statement.

A

both block will move together

B

both block will move separately

C

there is a non-zero contact force between two blocks

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

If we consider blocks 2 and 1 independently, then there acceleration would be for block (1)
`a_1=gsintheta-mu_1gcostheta=g[(sqrt3)/(2)-(1)/(2)xx(1)/(2)]=(g[2sqrt3-1])/(4)`
For block (2)
`a_2=gsintheta-mu_2gcostheta=g[(sqrt3)/(2)-(2)/(5)xx(1)/(2)]=(g)/(10)[5sqrt3-2]`
Since `a_1gta_1` so both blocks will move separately.
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