Equity Research And Valuation Dun Bradstreet Pdf Free Download

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Because an orbiting body that is subject to rotation around any axis experiences a centripetal acceleration due to the central force of the body's mass acting on it, conservation of angular momentum and conservation of angular velocity are equivalent. If angular momentum is conserved, then the velocity of rotation (angular velocity) of the orbiting body is constant.

By definition, the torque on a rigid body is equal to the product of the body's mass and its rotational angular momentum. Since angular momentum is a constant for a given body, the torque is a constant. The three main considerations for momentum conservation are (1) the net force on a system, (2) the net torque on a system, and (3) the net torque due to external forces. For a rigid body, all three considerations are the same. Furthermore, because torque is angular momentum, conservation of torque implies conservation of angular momentum.

In order to derive the mathematic relation that relates torque and external force, the vector and its partial derivative need to be written in terms of their magnitudes and with respect to some basic system of units. A simple derivation will include the derivation of a physical quantity that will be simplified using the relation that relates forces and velocity. Because the solution to the derivation is not directly applicable to any additional examples because the given torque is always less than the given force, examples of this involution are the necessary in order to show why the equation was derived and the relation between forces and torque was obtained. d2c66b5586