1)What is the position vector r(t) as a function of angle \theta (t). For later remember that \theta (t) is itself a function of time. Give your answe

nagasenaz

nagasenaz

Answered question

2020-11-05

1)What is the position vector r(t) as a function of angle θ(t). For later remember that θ(t) is itself a function of time.
Give your answer in terms of R,θ(t), and unit vectors x and y corresponding to the coordinate system in thefigure. 2)For uniform circular motion, find θ(t) at an arbitrary time t.
Give your answer in terms of ω and t.
3)Find r, a position vector at time.
Give your answer in terms of R and unit vectors x and/or y.
4)Determine an expression for the positionvector of a particle that starts on the positive y axis at (i.e., at ,(x0,y0)=(0,R)) and subsequently moves with constant ω.
Express your answer in terms of R, ω ,t ,and unit vectors x and

Answer & Explanation

Elberte

Elberte

Skilled2020-11-06Added 95 answers

My answers were...
Part A:
r(t)=Rcos(?(t))i+Rsin(?(t))j
Part B:
?(t) = wt
Part C:
r(t)=Rcos(wt)i+Rsin(wt)j

Part D:
r = Ri
Part E:
r yaxis (t)=Rsin(wt)i+Rcos(wt)j

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