3.) A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force must be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.500 rev/s in 2.00 s? Additionally, at t=2s, the net torque disappears and four people each with a mass of 50 kg jump onto the marry-go-round each at a distance r from the axis of rotation. When that happens, the angular speed of the merry-go-round plus people is 2.5rad/s. What is r? You can treat each person as a particle for the purpose of moment of inertia.
3.) A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force must be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.500 rev/s in 2.00 s? Additionally, at t=2s, the net torque disappears and four people each with a mass of 50 kg jump onto the marry-go-round each at a distance r from the axis of rotation. When that happens, the angular speed of the merry-go-round plus people is 2.5rad/s. What is r? You can treat each person as a particle for the purpose of moment of inertia.
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I know that for the first portion the constant force is F=176.714N. I need help finding r for the second part of question. I think the formula is
L=(1/2M*R^2+m*r^2)*ω*k but im not sure. Could you please tell me if this is correct formula and what each piece of formula stands for? I am not sure about omega or the k.

Transcribed Image Text:3.) A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50m is set
in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant
force must be exerted on the rope to bring the merry-go-round from rest to an angular speed of
0.500 rev/s in 2.00 s? Additionally, at t=2s, the net torque disappears and four people each with
a mass of 50 kg jump onto the marry-go-round each at a distance r from the axis of rotation.
When that happens, the angular speed of the merry-go-round plus people is 2.5rad/s. What is r?
You can treat each person as a particle for the purpose of moment of inertia.
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