Find
, the length of the moment arm of the force.
Express your answer in terms of
and .
=
Learning Goal:
To understand the two most common procedures for finding
torques when the forces and displacements are all in one plane:
the moment arm method and the tangential force method.
Previous Answers
The purpose of this problem is to give you further practice finding
torques in two-dimensional situations. In this case it is overkill to
use the full cross product definition of the torque because the only
nonzero component of the torque is the component perpendicular
to the plane containing the problem.
Correct
To calculate the torque using the moment arm method, use the equation
,
where
is the moment arm perpendicular to the applied force.
There are two common methods for finding torque in a twodimensional problem: the tangential force method and the moment
Figure
1 of 4
Part D
Find the magnitude of the torque
Express your answer in terms of
on the pole, about point A, due to the tension in the rope.
,
, and .
=
Previous Answers
Correct
For this problem, the two methods of finding torque involved nearly the same of amount of algebra, and either method could be used. Of course, both methods
lead to the same final result.
Now consider a woman standing on the ball of her foot as shown (Figure 4). A normal force of magnitude
acts upward on the ball of her foot. The Achilles' tendon is
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