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Chapter 11

Dynamics of Rotational Motions

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Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as …
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When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is …
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Work and power in rotational motion are completely analogous to work and power in translational motion. The total work done to rotate a rigid body through …
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The work-energy theorem for rotational motion is analogous to the work-energy theorem in translational motion. It states that the net work done by an …
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Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector …
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The total angular momentum of a rigid body can be calculated using the summation of the angular momentum of all the tiny particles rotating in the same …
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n …
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely …
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A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis …
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Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a …
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Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic …
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People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a …
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Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences …
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By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if …
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Experimental methods are presented for measuring the rotational and translational motion of anisotropic particles in turbulent fluid flows. 3D printing …
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An experimental method for exploring the heat transfer characteristics of an axially rotating channel is proposed. The governing flow parameters that …
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In this work we describe a technique for creating new crystals (van der Waals heterostructures) by stacking distinct ultrathin layered 2D materials. We …