(II) Calculate the net torque about the axle of the wheel shown in Fig. 8–42. Assume…
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Question “(II) Calculate the net torque about the axle of the wheel shown in Fig. 8–42. Assume…”
(II) Calculate the net torque about the axle of the wheel shown in Fig. 8–42. Assume that a friction torque of 0.60 m/N opposes the motion.
Answer
The magnitude of torque that an object exerts on it around an axis is called,
This is the length of the radial lines from the axis to rotate to the point where force is applied. It is also the magnitude of the force. The angle between the direction and the radial lines from the point of rotation to point of force is called the angle of the direction of force.
The following figure shows three forces acting at an angles of at least a distance from the rotation direction, acting at a distance from the rotation direction, and acting at
at an distance of
from it.
Consider that clockwise torque is negative and counterclockwise is positive. All forces acting on the axle are perpendicular in the problem. The angle
separating the direction of each force from the radial line extending from the axis to which the force is applied to is 90 degrees.
Calculate the torque caused by
.
Substitute
for
,
for
, and
for
in the equation
.
Calculate the torque caused by
.
Substitute
for
,
for
, and
for
in the equation
.
Calculate the torque caused by
.
Substitute
for
,
for
, and
for
in the equation
.
The sign convention is used to express the frictional torque. The frictional torque opposes the motion’s direction and is therefore counterclockwise. Its sign is positive. The frictional torque can be represented as follows:
Calculate the torque around the axle of your wheel.
The algebraic sum of all torques on the wheel gives the net torque around the axle.
Substitute
for
and
for
.
The clockwise torque is represented by the negative sign in the net torque value. The net torque around the axle of the wheel equals
which acts in clockwise directions.
Conclusion
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