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 = 101.0 kg and is shaped like a cylinder of radius R = 0.830 meters. The secret to the operation of the OyOy is its patented shaft whose radius is only r = 0.0905 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 T=? Mass = m a=?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
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Find acceleration and tension fast please

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 = 101.0 kg and is shaped like a cylinder of radius R = 0.830 meters. The secret to the operation of the
OyOy is its patented shaft whose radius is only r = 0.0905 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 a customer of mass m = 85.0 kg is using the OyOy.
The FORMULA for the moment of Inertia: I =
T=?
Information
The FORMULA for the relationship between a and a: a =
The acceleration of the customer: a =
The tension in the cord: T =
MR²
2
Newtons
Mass = m
a=?
m/s²
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 = 101.0 kg and is shaped like a cylinder of radius R = 0.830 meters. The secret to the operation of the OyOy is its patented shaft whose radius is only r = 0.0905 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 a customer of mass m = 85.0 kg is using the OyOy. The FORMULA for the moment of Inertia: I = T=? Information The FORMULA for the relationship between a and a: a = The acceleration of the customer: a = The tension in the cord: T = MR² 2 Newtons Mass = m a=? m/s²
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