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Question

Find the maximum force F to be applied for the system shown, so that the two blocks move together. Given that it accelerates with 2 m/s2. Take g=10 m/s2. (μ1=0.2, μ2=0.3)


A
20 N
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B
30 N
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C
40 N
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D
50 N
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Solution

The correct option is D 50 N
We know that , when the block move together the maximum force,
Fmax=(m1+m2)(μ1g+as)
(m1=8 kg; m2=2 kg; μ1=0.3; μ2=0.2)

Hence, F=(10)(0.3×10+2)=50 N

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