A spool is made of two disks of radius Ro and mass M, connected by a short rod of smaller radius R1 and mass m (Ro=5R1 and M-2m) Front and side views are shown on the top figure. A string is wrapped tightly around the rod. The spool rests on a table by the edge of its disks. a) Which direction does the spool move and how does it rotate if pulled by a vertical force Fy as shown in bottom Figure A? What is the net torque? b) Which direction does the spool move and how does it rotate if pulled by a horizontal force Fn as shown in bottom Figure B? What is the net torque? c) Find the angle 0 and tension T in bottom figure C at which the spool will spin in place (no

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Chapter1: Units, Trigonometry. And Vectors
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A spool is made of two disks of radius Ro and mass M, connected by a short rod of smaller
radius R1 and mass m (Ro=5R1 and M-2m) Front and side views are shown on the top figure.
A string is wrapped tightly around the rod. The spool rests on a table by the edge of its disks.
a) Which direction does the spool move and how does it rotate if pulled by a vertical force
Fy as shown in bottom Figure A? What is the net torque?
b) Which direction does the spool move and how does it rotate if pulled by a horizontal
force Fh as shown in bottom Figure B? What is the net torque?
c) Find the angle e and tension T in bottom figure C at which the spool will spin in place (no
translational motion) at constant angular speed w. The coefficient of kinetic friction
between the spool and the table is Hk.
Ro
R,
Shutters
Ro
Side view
Front view
www.ahutterstadk.com
F
Ro
Ro
Ro
Ry
R,
Fn
C
В
A
Transcribed Image Text:A spool is made of two disks of radius Ro and mass M, connected by a short rod of smaller radius R1 and mass m (Ro=5R1 and M-2m) Front and side views are shown on the top figure. A string is wrapped tightly around the rod. The spool rests on a table by the edge of its disks. a) Which direction does the spool move and how does it rotate if pulled by a vertical force Fy as shown in bottom Figure A? What is the net torque? b) Which direction does the spool move and how does it rotate if pulled by a horizontal force Fh as shown in bottom Figure B? What is the net torque? c) Find the angle e and tension T in bottom figure C at which the spool will spin in place (no translational motion) at constant angular speed w. The coefficient of kinetic friction between the spool and the table is Hk. Ro R, Shutters Ro Side view Front view www.ahutterstadk.com F Ro Ro Ro Ry R, Fn C В A
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