Answered: You are trying to move a light fixture…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

You are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side and are pulling horizontally as shown, holding the fixture stationary with respect to the elevator. Note θ=35 degrees.

As the elevator ascends vertically, the magnitude of the force from the chain on the fixture as a function of the vertical position of the elevator, y, is
Fcf(y)=F₀e^-y/y₁
where F₀=149 N and y₁=4.9 m.

I want to find:

The tension force in the horizontal rope as a function of y is

Frf(y)=F₁e^−y/y₁

where F1=83 N and y1=4.9 m. What is the work done by the tension in the rope on the fixture as the elevator moves from y=0 to y=8.33 m?

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