John Wick once again finds himself outnumbered, outgunned, and injured, and is running for his life when he happens upon a construction site. He observes that there is a large load sitting on an inclined surface anchored with a rope wound around a large wooden double pulley. He decides that he can cut the anchor and ride the rope up as the load drops down the incline. As he runs towards the rope, he estimates the following parameters: • John has ditched most of his gear and now weighs -185 lbs The load weighs -500 lbs • The large double pulley weighs -100 lbs • • The double pulley has an outer radius TA = -4.5 ft, an inner radius r = -2.5 ft, and a radius of gyration k = -3.1ft The load is h = -80ft off the ground The incline sits at 8 = -65° The coefficient of friction between the load and the incline is μ = -0.15 Assuming John's estimations are correct and neglecting axle friction at the pulley, determine John's height and speed when the load comes crashing to the ground. You may find the following steps helpful: 1. Using trig, determine the distance the load slides. 0, + h
John Wick once again finds himself outnumbered, outgunned, and injured, and is running for his life when he happens upon a construction site. He observes that there is a large load sitting on an inclined surface anchored with a rope wound around a large wooden double pulley. He decides that he can cut the anchor and ride the rope up as the load drops down the incline. As he runs towards the rope, he estimates the following parameters: • John has ditched most of his gear and now weighs -185 lbs The load weighs -500 lbs • The large double pulley weighs -100 lbs • • The double pulley has an outer radius TA = -4.5 ft, an inner radius r = -2.5 ft, and a radius of gyration k = -3.1ft The load is h = -80ft off the ground The incline sits at 8 = -65° The coefficient of friction between the load and the incline is μ = -0.15 Assuming John's estimations are correct and neglecting axle friction at the pulley, determine John's height and speed when the load comes crashing to the ground. You may find the following steps helpful: 1. Using trig, determine the distance the load slides. 0, + h
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.89RP: The woman is trying to move the crate of weight W by pulling on the rope at the angle to the...
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