0 AM -- Due Date: 5/6/2024 11:59:00 PM End Date: 5/27/2024 11:59:00 PM (13%) Problem 8: Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.9 m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle's motion onto the x-axis can be used to represent simple harmonic motion. Almsaid, Zeena - z..d@sfsu.edu X theexpertta.com @theexpertta.com - tracking id: 6C65-AA-48-4A-BGDF-47727. In accordance with Expert TA's Terms of Service. copying this Information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. 10% Part (a) If the particle moves counterclockwise at a constant angular velocity of @, and at time = 0 its coordinates are (x, y) = (r, 0), enter an expression for the projection of the particle's position onto the x-axis, in terms of @, and 1. 10% Part (b) For an angular speed of @ = 2.5 rad/s, find the value of x, in meters, at time 1 = 0.83 s. 10% Part (c) Considering the expression you entered in part (a) for the projection of the particle's position onto the x-axis, can the projection's motion be described as simple harmonic motion? 10% Part (d) Which of the graphs correctly shows the projection of the position of the moving particle onto the x- axis as a function of I for two full cycles? y Correct! D A 10% Part (e) Enter an expression for the velocity function, Vx, associated with the position function you entered in part (a), in terms of r, @, and t. Grade Summary Vx = 1 Deductions Potential 100%