In the figure shown ground is smooth, whereas surface between 10 kg block and 5 kg block is rough. A force of magnitude 30 N is applied on 10 kg block, horizontally. If net work done by friction on th

Question

In the figure shown ground is smooth, whereas surface between 10 kg block and 5 kg block is rough. A force of magnitude 30 N is applied on 10 kg block, horizontally. If net work done by friction on the system (on 10 kg and 5 kg blocks) in any time frame is zero, then cofficient of friction between 10 kg and 5 kg can be :

TestHub · Accepted Answer

Net work of friction on the system is zero in any time frame only when there is no relative slipping, i.e. the blocks move together:

$a = \frac{30}{10 + 5} = 2 m/ s^{2}$

Friction needed on the 5 kg block: $f = 5 \times 2 = 10 N$ ; available: $μ N = 50 μ$ . So $μ \geq 0.2$ .

Possible values: 0.3, 0.4, 0.6. Ans. (B,C,D)

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