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Two blocks 4 kg and 2 kg are sliding dow...

Two blocks 4 kg and 2 kg are sliding down an incline plane as shown in figure. The acceleration of 2 kg block is.

A

`1.66 m//s^(2)`

B

`2.66 m//s^(2)`

C

`3.66 m//s^(2)`

D

`4.66 m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`m_(1) = 4` kg , `m_(2) = 2` kg , `mu_(1) = 0.3 , mu_(2) = 0.2`
`theta = 30 because mu_(1) gt mu_(2) therefore a_(1) = a_(2) = a`.
`a = ((m_(1) + m_(2)) g sin theta - mu_(1) m_(1) g cos theta - mu_(2) m_(2) g cos theta)/(m_(1) + m_(2)) .... (i)`
Put all values in eq.(i)
we get `a_(1) = 2.67 m//s^(2)`
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