3-1. A free particle is moving in an inertial frame (x, y, z) in the xy -plane on a trajectory = d, yavt where d and u are constants in time. Consider a rectangular frame (x, y, z) rotating with respect to the inertial frame with an angular velocity w about a common z-axis (2' 2). What are the equations of motion obeyed by a'(t), y(t) and z'(t) in the rotating frame? Sketch the trajectory of the particle in the a'y'-plane and show explicitly that it satisfies these equations of motion.
3-1. A free particle is moving in an inertial frame (x, y, z) in the xy -plane on a trajectory = d, yavt where d and u are constants in time. Consider a rectangular frame (x, y, z) rotating with respect to the inertial frame with an angular velocity w about a common z-axis (2' 2). What are the equations of motion obeyed by a'(t), y(t) and z'(t) in the rotating frame? Sketch the trajectory of the particle in the a'y'-plane and show explicitly that it satisfies these equations of motion.
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Transcribed Image Text:3-1. A free particle is moving in an inertial frame (x, y, z) in the zy -plane on
a trajectory a = d, y = vt where d and u are constants in time. Consider a
v
rectangular frame (x, y, z) rotating with respect to the inertial frame with an
angular velocityw about a common z-axis (22). What are the equations
of motion obeyed by a'(t), y'(t) and z'(t) in the rotating frame? Sketch the
trajectory of the particle in the x'y'-plane and show explicitly that it satisfies
these equations of motion.
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