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(II) A wheel of diameter 27.0 $\mathrm{cm}$ is constrained to rotate in the $x y$ plane, about the $z$ axis, which passes through its center. A force $\vec{\mathbf{F}}=(-31.0 \hat{\mathbf{i}}+43.4 \hat{\mathbf{j}}) \mathrm{N}$ acts at a point on the edge of the wheel that lies exactly on the $x$ axis at a particular instant. What is the torque about the rotation axis at this instant?

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5.86 $\mathrm{m} \cdot \mathrm{N}$counterclockwise

Physics 101 Mechanics

Chapter 10

Rotational Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

Lectures

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

02:01

A wheel of diameter $27.0 ā¦

02:44

A wheel of diameter 28.0 cā¦

02:28

(II) The origin of a coordā¦

01:02

A steering wheel has a diaā¦

04:41

A wheel with radius $0.060ā¦

01:53

A $540-\mathrm{N}$ frictioā¦

03:30

Three forces are applied tā¦

02:56

$\bullet$ Three forces areā¦

A bolt located 50 mm from ā¦

So here we know that the lever arm to the point of application of the forces along the X axis. So we can say liver arm two point of application of force is along x axis. With this being said, we know that the perpendicular part of the forest is solely the why component. Therefore, when calculating the torque, we're going to Onley use the why component of the force so we can sit at the torque. Ah would then be equal to the, uh radius times the force perpendicular. This would again be equal to point 135 meters multiplied by 43.4 Newtons equal 5.86 Newton meters and the direction here would be counter clockwise. So this would be artwork. That is the end of the solution. Thank you for watching

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