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 be lowered safely toward the ground at a low velocity. The Oyoy has a total mass M = 106.0 kg and is shaped like a cylinder of radius R = 0.835 meters. The secret to the operation of the Oyoy is its patented shaft whose radius is only r = 0.0830 meters. The cord is wound around the small shaft and this is the secret to your low velocity. Outer Radius = R Spindle Radius = r Mass = M V(y=0)=? 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 = 77.5 kg is using the Oyoy and begins his decent from an initial height of yo 13.15 meters. Determine all the following: The FORMULA for the moment of Inertia: I-R The FORMULA for the relationship between w and vi Mass = m The velocity of the customer at the ground: v m/s

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 be lowered safely toward the ground at a low velocity. The Oyoy has a total mass M = 106.0 kg and is shaped like a cylinder of radius R = 0.835 meters. The secret to the operation of the Oyoy is its patented shaft whose radius is only r = 0.0830 meters. The cord is wound around the small shaft and this is the secret to your low velocity. Outer Radius = R Spindle Radius = r Mass = M V(y=0)=? 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 = 77.5 kg is using the Oyoy and begins his decent from an initial height of yo 13.15 meters. Determine all the following: The FORMULA for the moment of Inertia: I-R The FORMULA for the relationship between w and vi Mass = m The velocity of the customer at the ground: v m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 4PQ

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

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 be lowered safely toward the ground at a low velocity. The OyOy has a total mass M = 106.0 kg and is shaped like a cylinder of radius R = 0.835 meters. The secret to the operation of the OyOy is its patented shaft whose radius is only r = 0.0830 meters. The cord is wound around
the small shaft and this is the secret to your low velocity.
Outer Radius = R
Spindle Radius = r
Mass = M
The FORMULA for the moment of Inertia: I =
V(y=0)=?
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 = 77.5 kg is using the Oyoy and begins his decent from an initial height of yo = 13.15 meters.
Determine all the following:
Yo
MR²
2
The velocity of the customer at the ground: v =
The FORMULA for the relationship between w and v: w =
Mass = m
m/s

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