Understand how to find the equation of motion of a particle undergoing uniform c
ID: 2217892 • Letter: U
Question
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider a particle--the small red block in the figure--that is constrained to move in a circle of radius . We can specify its position solely by , the angle that the vector from the origin to the block makes with our chosen reference axis at time . Following the standard conventions we measure in the counterclockwise direction from the positive x axis. (Figure 1)
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider a particle--the small red block in the figure--that is constrained to move in a circle of radius . We can specify its position solely by , the angle that the vector from the origin to the block makes with our chosen reference axis at time . Following the standard conventions we measure in the counterclockwise direction from the positive x axis. (Figure 1) Part B For uniform circular motion, find /theta/left(t/right) at an arbitrary time t . Give your answer in terms of /omega and t . The answer is: omega^*t The part I really need help with is this one: Part C What does /vecr/left(t/right) become now? Express your answer in terms of R , /omega , t , and unit vectors /hati and /hatj .Explanation / Answer
c. The x component of r(t)=Rcos i = Rcos(wt) i
The y component of r(t)=Rcos j= Rsin(wt) j
r(t)=R{cos(wt) i + sin(wt) j}
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