A heavy solid cylinder with a mass of 600 kg and a radius of 0.50 m...
A heavy solid cylinder with a mass of 600 kg and a radius of 0.50 m is securely fixed to a frictionless axle at its center. It has a long ideal rope tightly wound around it and hanging down from the cylinder about 1.0 m. Sally, who has a mass of 60 kg attaches herself to the rope and steps off a ledge, spinning the cylinder about the axle. If it takes 4.0 seconds for her to reach the ground below, answer the following prompts. *Show your problem-solving process below.*
a. Write an expression for the tension in the rope in terms of Sally's acceleration. (A FBD could be useful here...)
b. Write an expression for the angular acceleration of the cylinder as in terms of Sally's acceleration.
c. What is the moment of inertia of the cylinder?
d. Write an expression for the torque applied to the cylinder due to the ter
e. Write an expression relating the angular acceleration of the cylinder to the tension in the rope. (A FPD could be useful here...)
f. By solving for the tension in the rope in both parts (e.) and (a.), determine Sally's acceleration.
g. What is the angular speed of the cylinder at that moment?
h. With what speed does Sally impact the ground?
i. How far did Sally fall?
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A heavy solid cylinder with a mass of 600 kg and a radius of
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