A 10kg monkey climbs a uniform ladder with weight 120N and length 3m as shown in the figure. The ladder rests against the wall at an angle=60 degrees . The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that can support a maximum tension of only 80N. (a) Draw a free body diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance that the monkey can climb the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts (c) and (d)?

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Chapter1: Units, Trigonometry. And Vectors
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A 10kg monkey climbs a uniform ladder with weight 120N and length 3m as shown in the figure. The ladder rests against the wall at an angle=60 degrees . The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that can support a maximum tension of only 80N. (a) Draw a free body diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance that the monkey can climb the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts (c) and (d)?

The image depicts a monkey climbing along a rope. The rope is positioned at an angle, denoted as \( \theta \), with the horizontal surface. The length of the rope is labeled as \( L \). The monkey is shown at an intermediate point on the rope, gripping it with its limbs. The diagram aims to illustrate concepts related to mechanics, such as forces acting along inclined planes and the effects of angles and lengths on motion.
Transcribed Image Text:The image depicts a monkey climbing along a rope. The rope is positioned at an angle, denoted as \( \theta \), with the horizontal surface. The length of the rope is labeled as \( L \). The monkey is shown at an intermediate point on the rope, gripping it with its limbs. The diagram aims to illustrate concepts related to mechanics, such as forces acting along inclined planes and the effects of angles and lengths on motion.
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