An oversized yo-yo is made from two identical solid disks each of mass M = 1.60 kg and radius R =9.0 cm. The two disks ar joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system. (a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary.) moment of inertia = (b) What torque does gravity exert on the system with respect to the given axis? N.m Take downward as the negative coordinate direction. (c) As depicted in the figure above, is the torque exerted by the tension positive or negative? (View the yo-yo from the left and let the counterclockwise direction be positive.) O positive O negative

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An oversized yo-yo is made from two identical solid disks each of mass M = 1.60 kg and radius R = 9.0 cm. The two disks are
joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder
as the axis of the system.
(a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above
as necessary.)
moment of inertia =
(b) What torque does gravity exert on the system with respect to the given axis?
N•m
Take downward as the negative coordinate direction.
(c) As depicted in the figure above, is the torque exerted by the tension positive or negative? (View the yo-yo from
the left and let the counterclockwise direction be positive.)
O positive
O negative
(d) Is the angular acceleration positive or negative?
positive
O negative
(e) What about the translational acceleration?
O positive
O negative
Transcribed Image Text:An oversized yo-yo is made from two identical solid disks each of mass M = 1.60 kg and radius R = 9.0 cm. The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system. (a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary.) moment of inertia = (b) What torque does gravity exert on the system with respect to the given axis? N•m Take downward as the negative coordinate direction. (c) As depicted in the figure above, is the torque exerted by the tension positive or negative? (View the yo-yo from the left and let the counterclockwise direction be positive.) O positive O negative (d) Is the angular acceleration positive or negative? positive O negative (e) What about the translational acceleration? O positive O negative
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