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Inertia

N of the forc...

Question

N of the force required to be applied on A to slip on B. Find the maximum horizontal force F to be applied on B so that A and B move together.

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Solution

When the blocks move together the acceleration will be same.
If the $f$ is the force of friction between A and B.
$F - f = m_{b} - a f = m_{a} a S o, a = \frac{f}{m_{a}} = \frac{N}{4} m / s^{2} S o, F - N = 5 \times \frac{N}{4} F - N = \frac{5 N}{4} \frac{5 N}{4} + N = F \frac{9 N}{4} = F$

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