Find an approximate expression for the speed at short times, Mechanical Engineering

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Find an approximate expression for the speed at short times

Jerk

The rate of change of acceleration is known as "jerk." Find the direction and magnitude of jerk for a particle moving in a circle of radius R at angular velocity ω. Draw a vector diagram showing the instantaneous position, velocity, acceleration, and jerk

where am is the maximum acceleration and 2T is the total time for the trip.

(a) Draw sketches of a(t) and the jerk as functions of time.

(b) What is the elevator's maximum speed?

(d) What is the time required for a trip of distance D?

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Mechanical Engineering: Find an approximate expression for the speed at short times

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Mechanical Engineering: Find an approximate expression for the speed at short times

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