A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 12 kg which is uniformly distributed throughout its length L = 8.4 m. The ladder is propped up at an angle theta = 60o. The coefficient of static friction between the ground and the ladder is mus = 0.33, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.1 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 12 kg which is uniformly distributed throughout its length L = 8.4 m. The ladder is propped up at an angle theta = 60o. The coefficient of static friction between the ground and the ladder is mus = 0.33, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.1 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

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Question

A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M₁ = 12 kg which is uniformly distributed throughout its length L = 8.4 m. The ladder is propped up at an angle theta = 60^o. The coefficient of static friction between the ground and the ladder is mu_s = 0.33, and the wall against which the ladder is resting is frictionless.

Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.1 m up the ladder.

If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

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