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Block A and B shown in the figure are co...

Block `A and B` shown in the figure are connected with a bar of negligible weight. `A and B` each has mass `170 kg` , the coefficient of friction between `A` and the plane is `0.2` and that between `B` and the plane is `0.4 (g = 10 ms_(-2))`

What is the force acting on the connecting bar?

A

`140 N`

B

`100 N`

C

`75 N`

D

`125 N`

Text Solution

Verified by Experts

The correct Answer is:
A
`a = ((m_(A) + m_(B)) g sin theta - f_("total"))/(m_(A) + m_(B))`
`= (1596 - 900)/(340) = 2.1 m//s^(2)`

`F =` force on connecting bar
`m_(A) g sin theta - F - (f_(A))_(max) = m_(A)a`
`:. F = m_(A) g sin theta - (f_(A))_(max) - m_(A)a`
`= 170 xx 10 xx sin 28^(@) - 300 - 170 xx 2.1`
`= 141 N`
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