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Newton's Laws for System of Particles

If a ladder w...

Question

If a ladder weighing $250 N$ is placed against a smooth vertical wall having a coefficient of friction between it and floor $0.3$ , then what is the maximum force of friction available at the point of contact between the ladder and the floor?

A

75 N

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B

50 N

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C

35 N

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D

25 N

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Solution

The correct option is A $75 N$
Maximum frictional force acting on the ladder is when the ladder stands straight on the ground.
Thus $N = m g = 250 N$
Thus the frictional force is $μ N = 0.3 \times 250 N = 75 N$

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