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Learning Goal: 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 R. We can specify its position solely by f(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time t. Following the standard conventions we measure 8(t) in the counterclockwise direction from the positive x axis. (Figure 1) Figure 700) 6(r) ·x <1 of 1 ▸ View Available Hint(s) r= -- ΑΣΦ Submit Previous Answers Part E * Incorrect; Try Again; 5 attempts remaining + Ty(t) = Submit Determine an expression for the position vector of a particle that starts on the positive y axis at t=0 (.e., at t = 0. (2o, 3o) = (0, R)) and subsequently moves with constant w Express your answer in terms of R, w, f, and unit vectors i and j. ▸ View Available Hint(s) Provide Feedback A C Song ? -- ΑΣΦ 4 A ?

Learning Goal: 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 R. We can specify its position solely by f(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time t. Following the standard conventions we measure 8(t) in the counterclockwise direction from the positive x axis. (Figure 1) Figure 700) 6(r) ·x <1 of 1 ▸ View Available Hint(s) r= -- ΑΣΦ Submit Previous Answers Part E * Incorrect; Try Again; 5 attempts remaining + Ty(t) = Submit Determine an expression for the position vector of a particle that starts on the positive y axis at t=0 (.e., at t = 0. (2o, 3o) = (0, R)) and subsequently moves with constant w Express your answer in terms of R, w, f, and unit vectors i and j. ▸ View Available Hint(s) Provide Feedback A C Song ? -- ΑΣΦ 4 A ?

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Learning Goal: 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 R. We can specity its position solely by f(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time 1. Following the standard conventions we measure 8(t) in the counterclockwise direction from the positive x axis. (Figure 1) Figure r(t) 6(r) <1 of 1 > ▸ View Available Hint(s) r= Submit Previous Answers IVE ΑΣΦ * Incorrect; Try Again; 5 attempts remaining Part E Determine an expression for the position vector of a particle that starts on the positive y axis at t=0 (ie., at t = 0, (0,0) = (0, R)) and subsequently moves with constant w. Express your answer in terms of R, w, f, and unit vectors and . ▸ View Available Hint(s) Tyxi(t)= Submit Provide Feedback 17 ΑΣΦ 3 ? → c ?
Transcribed Image Text:Learning Goal: 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 R. We can specity its position solely by f(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time 1. Following the standard conventions we measure 8(t) in the counterclockwise direction from the positive x axis. (Figure 1) Figure r(t) 6(r) <1 of 1 > ▸ View Available Hint(s) r= Submit Previous Answers IVE ΑΣΦ * Incorrect; Try Again; 5 attempts remaining Part E Determine an expression for the position vector of a particle that starts on the positive y axis at t=0 (ie., at t = 0, (0,0) = (0, R)) and subsequently moves with constant w. Express your answer in terms of R, w, f, and unit vectors and . ▸ View Available Hint(s) Tyxi(t)= Submit Provide Feedback 17 ΑΣΦ 3 ? → c ?
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