(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.
The expression for magnitude of torque acting on an object about an axis of rotation is,
Here, is the length of radial line from the axis of rotation to the point of application of force,
is the magnitude of force, and
is the angle between the direction of force and the radial line from the axis of rotation to the point of application of force.
The below figure shows three forces acting at an angle of
at a distance of
from the rotation axis,
acting at an angle of
at a distance of
from the rotation axis, and
acting at an angle of
at a distance of
from the rotation axis.
Assume that the sign convention of clockwise torque to be negative and counterclockwise to be positive. In the given problem, all the forces are acting perpendicular to the axle. So, the angle between the direction of each force and the radial line from the axis of rotation to the point of application of force is equal to 90 degrees.
Calculate the torque due to the force of.
Substitute for
,
for
, and
for
in the equation
.
Calculate the torque due to the force of.
Substitute for
,
for
, and
for
in the equation
.
Calculate the torque due to the force of.
Substitute for
,
for
, and
for
in the equation
.
Express the frictional torque in terms of sign convention. As the frictional torque is opposing the motion, its direction is counterclockwise and its sign is taken as positive. Hence, the frictional torque is represented as,
Calculate the net torque about the axle of the wheel.
The net torque about the axle of the wheel is given by the algebraic sum of all the torques acting on the wheel.
Substitute for
,
for
,
for
, and
for
.
The negative sign in the value of the net torque represents clockwise torque. Hence, the net torque about the axle of the wheel is equal to, which is acting in clockwise direction.
(II) Calculate the net torque about the axle of the wheel shown in Fig. 8–42. Assume...
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.
Constants I Periodic Table Consider the wheel shown in (Figure 1) Part A Calculate the net torque about the axle of the wheel, which starts its motion from rest. Assume that a friction torque of 0.60 n N opposes the motion Assume 25 N, F-41 N, F = 26 N Express your answer to two significant figures and include the appropriate units. ? Value Units T= Figure 1 of 1 Request Answer Submit Next > Provide Feedback 135 12 cm...
A wheel that is initially at rest has forces applied to it, as
shown in (Figure 1), and it begins to rotationally accelerate.Calculate the net torque about the axle of the wheel shown in
(Figure 1). Assume that a friction torque of 0.45 m⋅N opposes the
motion.Express your answer using two significant figures.
Consider the wheel shown in (Figure 1). Pari Calcu 24 N Expre TE Subm < Return to A Figure 1 of 1 Ë, 135 12 cm O Type here to search Part A Calculate the net torque about the axle of the wheel, which starts its motion from rest. Assume that a friction forque of 0.60 m. N opposes the motion. Assume Fi - 24 N. F2 = 40 N .F - 30 N Express your answer to two significant...
Calculate the net torque on a wheel in the figure below about the axle through O if a = 10.6cm and b 21.6cm. Assume that F1 = 11.ON, F2 8.97N, F3 = 13.0N and @ = 32.6deg. Submit Answer Tries 0/10 00 b E
Find the net torque on the wheel in the figure below about the
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direction with the sign of your answer. Assume that the positive
direction is counterclockwise.)
Find the net torque on the wheel in the figure below about the axle through O, taking a = 13.0 cm and b = 27.0 cm. (Assume that the positive direction is counterclockwise.)
Find the net torque on the wheel in the figure below about the axle through O, taking a = 5.00 cm and b = 17.0 cm. (Assume that the positive direction is counterclockwise.)
Find the net torque on the wheel in the figure below about the axle through O, taking a = 13.0 cm and b = 31.0 cm. (Assume that the positive direction is counterclockwise.)
Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 9.00 cm and b = 25.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.)