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dista the load slides. 2. Using the radii of the double pulley, determine how high John will rise based on your previous answer. 3. Using these distances, account for the work done by: • Friction, between the load and the incline (is this positive or Gravity, on the load (is this positive or negative?) Gravity, on John (is this positive or negative?)

dista the load slides. 2. Using the radii of the double pulley, determine how high John will rise based on your previous answer. 3. Using these distances, account for the work done by: • Friction, between the load and the incline (is this positive or Gravity, on the load (is this positive or negative?) Gravity, on John (is this positive or negative?)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1. Using trig, determine the distance the load slides. 2. Using the radii of the double pulley, determine how high John will rise based on your previous answer. 3. Using these distances, account for the work done by: • Gravity, on John (is this positive or negative?) 4. Determine the final kinetic energy of the system (recall that you can relate the various linear velocities to the angular velocity of the double pulley) Friction, between the load and the incline (is this positive or negative?) Gravity, on the load (is this positive or negative?)
Transcribed Image Text:1. Using trig, determine the distance the load slides. 2. Using the radii of the double pulley, determine how high John will rise based on your previous answer. 3. Using these distances, account for the work done by: • Gravity, on John (is this positive or negative?) 4. Determine the final kinetic energy of the system (recall that you can relate the various linear velocities to the angular velocity of the double pulley) Friction, between the load and the incline (is this positive or negative?) Gravity, on the load (is this positive or negative?)
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. TA ľв +++ h
Transcribed Image Text: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. TA ľв +++ h
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