P112 Spring 2008
Homework #10
Reading: 9.19.4, 10.110.5
Not all concepts will be covered in class – you are responsible
for all material in the reading and in the homework problems.
Problems:
1.
A yoyo (spool) consists of two identical uniform
solid disks, each of mass m, radius R, and width D,
connected by a spindle (peg) of radius r and
negligible mass.
(a)What is the yoyo's total
moment of inertia (or
rotational inertia) about its
center axis? Your answer
may contain any quantities
shown in the diagram, as well
as physical and numerical
constants.
(b)The yoyo starts from rest
and rolls freely a distance H
down the string whose top end
is held fixed. What is the yo
yo's final
angular speed
of
rotation (in rad/s)? Your answer may contain
quantities in the diagram, H, and physical and
numerical constants, and it should be simplified if
possible. Please show your work.
2.
Calculate the torque (magnitude and direction)
about point
0
due to the force
F
in each of these
cases. In each case, the force and the rod both lie in
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 Fall '07
 LECLAIR,A
 Angular Momentum, Force, Work, Moment Of Inertia, Rotation, Angular velocity

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