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Two block A and B of masses 6 kg and 3 k...

Two block A and B of masses `6 kg` and `3 kg ` rest on a smooth horizontal surface as shown in figure If coefficient of friction between A and Bb is `0.4` the maximum horizontal force which can make them move without separation is

A

`72 N`

B

`40 N`

C

`36 N`

D

`20 N`

Text Solution

Verified by Experts

The correct Answer is:
c

Maximum friction force on block B is
`mu m_(B)g = 0.4 xx 3 xx 10 = 12N`
Hence, maximum acceleration `= (12)/(3) = 4ms^(-1)`
Hence , maximum force
`F = (m_(A) + m_(B)) a = (6 + 3) xx 4 = 36 N`
Afiber We can also apply the formula discussed in pervious problem by putting `mu_(2)= 0and mu_(1) = 0.4`
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Knowledge Check

  • Two blocks A and B of masses 10 kg and 15 kg are placed in contact with each other rest on a rough horizontal surface as shown in the figure. The coefficient of friction between the blocks and surface is 0.2. A horizontal force of 200 N is applied to block A. The acceleration of the system is ("Take g"=10ms^(-2))

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