Wednesday
July 30, 2014

Homework Help: Physics

Posted by Anonymous on Sunday, October 4, 2009 at 12:03pm.

Uniform Circular Motion:

Suppose that a particle's position is given by the following expression:

r(t) = Rcos(omega*t)i + Rsin(omega*t)j

1. Choose the answer that best completes the following sentence:
The particle's motion at t=0 can be described by ____________.

a. an ellipse starting at time t=0 on the positive x axis
b. an ellipse starting at time t=0 on the positive y axis
c. a circle starting at time t=0 on the positive x axis
d. a circle starting at time t=0 on the positive y axis

2. When does the particle first cross the negative x axis?
Express your answer in terms of some or all of the variables omega, R, and pi.

3. Find the particle's velocity as a function of time.
Express your answer using unit vectors (e.g., A i+ B j, where A and B are functions of omega, R, t, and pi).

4. Find the speed of the particle at time t.
Express your answer in terms of some or all of the variables omega, R, and pi.

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