A 15 kg monkey climbs a uniform ladder with weight 1.2 *10^2 N and length L=3.00 m. The ladder rests against the wall and makes an angle of theta= 60.0 degrees with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope. HInt : Draw a force diagram for the ladder and the normal forces from the ground and wall acting on the ladder.  A) find the tension in the rope when the monkey is two-thirds of the way up the ladder. B) The rope is frayed and can support a maximum tension of only 80N. Find the maximum distance that the monkey can climb up the ladder before the rope breaks. C) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (a) and (b)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...
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A 15 kg monkey climbs a uniform ladder with weight 1.2 *10^2 N and length L=3.00 m. The ladder rests against the wall and makes an angle of theta= 60.0 degrees with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope. HInt : Draw a force diagram for the ladder and the normal forces from the ground and wall acting on the ladder. 

A) find the tension in the rope when the monkey is two-thirds of the way up the ladder.

B) The rope is frayed and can support a maximum tension of only 80N. Find the maximum distance that the monkey can climb up the ladder before the rope breaks.

C) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (a) and (b) 

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