Question

# Two blocks of masses 2 kg and 4 kg are arranged as shown in figure. Then, find the maximum value of force F, for which both blocks will move together.

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

## The correct option is B 30 NFor maximum value of force F, let two blocks move together with acceleration a. First take two blocks as system: The acceleration of the system will be, a=F2+4=F6 m/s2 Now from FBD of 2 kg block: The maximum frictional force will act on block, to avoid slipping on the surface. ∴ fmax=ma ⇒ fmax=2×F6 μs× mg=F3 ∴F=3×0.5× 20=30 N Hence option B is the correct answer.

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