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A ladder of length L is leaning on a frictionless wall at 53 degrees to horizontal. The ladder is of uniform mass which is 20 kg. A point mass is positioned 20% of the way up the ladder which has a mass of 80 kg. The coefficient of

A ladder of length L is leaning on a frictionless wall at 53 degrees to horizontal. The ladder is of uniform mass which is 20 kg. A point mass is positioned 20% of the way up the ladder which has a mass of 80 kg. The coefficient of

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A ladder of length L is leaning on a frictionless wall at 53 degrees to horizontal. The ladder is of uniform mass which is 20 kg. A point mass is positioned 20% of the way up the ladder which has a mass of 80 kg. The coefficient of static friction between the ladder and the floor is .333. Calculate the horizontal force that the wall puts on the top of the ladder. Then, calculate the vertical normal force from the ground to the bottom of the ladder. Then, verify that the ladder will not slip. Finally, calculate how high up the ladder (in percentage) the point mass can be positioned before the ladder slips and explain why it will slip.

So, Waldo is trying to climb the latter shown. You can see the 53 degrees for the angle, but darn that Waldo, he is covering the length of the ladder! But, at the moment, he is 20% of the way up the ladder. He has a mass of 80 kg, and the ladder has a mass of 20 kg. There is no friction between the ladder and the wall, but there is friction between the ladder and the floor - the coefficient of friction is on the floor is 0.333. TMⓇC A) Calculate the horizontal force from the Wall to the top of the ladder. B) Calculate the vertical normal force from the floor to the bottom of the ladder. C) Verify that the ladder will not slip! D) Calculate how high (percentage of the length) that Waldo can climb on the ladder (before the ladder slips). (And, why is there a limit to how far he can go?) 53°
Transcribed Image Text:So, Waldo is trying to climb the latter shown. You can see the 53 degrees for the angle, but darn that Waldo, he is covering the length of the ladder! But, at the moment, he is 20% of the way up the ladder. He has a mass of 80 kg, and the ladder has a mass of 20 kg. There is no friction between the ladder and the wall, but there is friction between the ladder and the floor - the coefficient of friction is on the floor is 0.333. TMⓇC A) Calculate the horizontal force from the Wall to the top of the ladder. B) Calculate the vertical normal force from the floor to the bottom of the ladder. C) Verify that the ladder will not slip! D) Calculate how high (percentage of the length) that Waldo can climb on the ladder (before the ladder slips). (And, why is there a limit to how far he can go?) 53°
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