A spool of thread consists of a cylinder of radius R, = 4.2 cm with end caps of radius R, = 10.8 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 R,, as the extended edges are thin and therefore light. \R2 R (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. O to the left O to the right O straight up O straight down

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Chapter1: Units, Trigonometry. And Vectors
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A spool of thread consists of a cylinder of radius R,
= 4.2 cm with end caps of radius R, = 10.8 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 R,, as the extended edges are thin
and therefore light.
\R2
(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.
O to the left
O to the right
O straight up
O straight down
Transcribed Image Text:A spool of thread consists of a cylinder of radius R, = 4.2 cm with end caps of radius R, = 10.8 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 R,, as the extended edges are thin and therefore light. \R2 (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. O to the left O to the right O straight up O straight down
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