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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fast please
Transcribed Image Text:Move over Jeff Bezos, this invention is about to make you the richest person in the world. You have just invented the OyOy (that's YoYo spelled backwards). It is the very latest in home safety and so easy to use!
If your building is on fire, simply reach out and grab the cord on the OyOy and you will accelerate slowly and safely toward the ground. The OyOy has a total mass M = 106.0 kg and is shaped like a cylinder of radius R = 0.900 meters. The secret to the operation of the OyOy is its patented
shaft whose radius is only r = 0.0865 meters. The cord is wound around the small shaft and this is the secret to your low acceleration.
Outer Radius = R
Spindle Radius = r
Mass = M
Determine all the following:
We will use the approximation that the shaft is of negligible mass compared to the total. This means that you can treat the entire OyOy as though it is a solid cylinder with mass M and radius R. Imagine that customer of mass m = 81.0 kg is using the OyOy.
The FORMULA for the moment of Inertia: I =
The FORMULA for the relationship between
T=?
The acceleration of the customer: a
The tension in the cord: T=
and a: a =
Newtons
Mass = m
a=?
m/s²
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