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PHYS 2211 ABCDE Spring 08
MP49: Rotational Dynamics
Due at 11:59pm on Thursday, April 10, 2008
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Finding Torque
A force
of magnitude
, making an angle
with the
x
axis, is applied to a particle located at point A, at Cartesian
coordinates (0, 0) in the figure. The vector
and the four reference points (i.e., A, B, C, and D) all lie in the
xy
plane. Rotation
axes A  D lie parallel to the
z
axis and pass through each respective reference point.
The torque
of a force
acting on a particle having a position vector
with respect to a reference point (thus
points from
the reference point to the point at which the force acts) is equal to the cross product of
and
,
. The magnitude of
the torque is
, where
is the angle between
and
; the direction of
is perpendicular to both
and
. For
this problem
; negative torque about a reference point corresponds to clockwise rotation. You must express
in terms
of
,
, and/or
when entering your answers.
Part A
What is the torque
due to force
about the point A?
Hint A.1
When force is applied at the pivot point
Hint not displayed
Express the torque about point A at Cartesian coordinates (0, 0).
ANSWER:
=
0
Part B
What is the torque
due to force
about the point B? (B is the point at Cartesian coordinates (0,
), located a distance
from the origin along the
y
axis.)
Hint B.1
Finding
with respect to a reference point
Hint not displayed
Express the torque about point B in terms of
,
,
,
, and/or other given coordinate data.
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 Spring '08
 UZER
 Angular Momentum, Force, Moment Of Inertia

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