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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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 B = -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 B = -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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