A spool of thread consists of a cylinder of radius R1 = 7.2 cm with end caps of radius R2 = 9.0 cm as depicted in the end view shown in the figure below. The mass of the spool, including the thread, is m = 180 g. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T 0.450 N acting to the right is applied to the free end of the thread. For the moment of inertia treat the spool as being a solid cylinder of radius R1, as the extended edges are thin and therefore light.

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A spool of thread consists of a cylinder of radius R1
7.2 cm with end caps of radius R2
= 9.0 cm as depicted in the end
view shown in the figure below. The mass of the spool, including the thread, is m = 180 g. The spool is placed on a rough,
horizontal surface so that it rolls without slipping when a force T = 0.450 N acting to the right is applied to the free end of
the thread. For the moment of inertia treat the spool as being a solid cylinder of radius R1, as the extended edges are thin
and therefore light.
\R2
R1
(a) What is the acceleration of the spool? Take positive to be to the right.
m/s2
(b) Determine the direction of the force of friction.
to the left
to the right
straight up
straight down
Transcribed Image Text:A spool of thread consists of a cylinder of radius R1 7.2 cm with end caps of radius R2 = 9.0 cm as depicted in the end view shown in the figure below. The mass of the spool, including the thread, is m = 180 g. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T = 0.450 N acting to the right is applied to the free end of the thread. For the moment of inertia treat the spool as being a solid cylinder of radius R1, as the extended edges are thin and therefore light. \R2 R1 (a) What is the acceleration of the spool? Take positive to be to the right. m/s2 (b) Determine the direction of the force of friction. to the left to the right straight up straight down
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