A weight of mass mį = 45 kg slides at a constant speed v = 1 m/s in a circle of radius r = 0.65 m on a table as shown on the left. The force of friction is just enough to keep the weight from sliding in towards the center of the table. The weight is attached to a string which hangs down through a hole in the middle of the table; from the other end of the string hangs a cylinder of mass m2 =17 kg. a) What is the minimum coefficient of friction needed to keep the hanging mass from moving downwards? b) What would be the maximum velocity the weight could have with that same coefficient of friction?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 3:
A weight of mass m1 =
45 kg slides at a constant speed v = 1 m/s in a circle of
radius r = 0.65 m on a table as shown on the left. The force of friction is just
enough to keep the weight from sliding in towards the center of the table. The
weight is attached to a string which hangs down through a hole in the middle of
the table; from the other end of the string hangs a cylinder of mass m2 =
m
17 kg.
a) What is the minimum coefficient of friction needed to keep the hanging mass
from moving downwards?
b) What would be the maximum velocity the weight could have with that same
coefficient of friction?
M2
Transcribed Image Text:Problem 3: A weight of mass m1 = 45 kg slides at a constant speed v = 1 m/s in a circle of radius r = 0.65 m on a table as shown on the left. The force of friction is just enough to keep the weight from sliding in towards the center of the table. The weight is attached to a string which hangs down through a hole in the middle of the table; from the other end of the string hangs a cylinder of mass m2 = m 17 kg. a) What is the minimum coefficient of friction needed to keep the hanging mass from moving downwards? b) What would be the maximum velocity the weight could have with that same coefficient of friction? M2
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