Consider a particle moving in a plane and assign the perpendicular axis the z-direction. Express the angular momentum in the z direction in terms of the cylindrical coordinates. If the force has only F_0 and F_r components, show that the rate of change of angular momentum about the z axis is equal to the torque in the direction of that axis.
Consider a particle moving in a plane and assign the perpendicular axis the z-direction. Express the angular momentum in the z direction in terms of the cylindrical coordinates. If the force has only F_0 and F_r components, show that the rate of change of angular momentum about the z axis is equal to the torque in the direction of that axis.
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Transcribed Image Text:Consider a particle moving in a plane and assign
the perpendicular axis the z-direction. Express
the angular momentum in the z direction in terms
of the cylindrical coordinates. If the force has
only F_0 andF_r components, show that the rate
of change of angular momentum about the z axis
is equal to the torque in the direction of that axis.
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