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- A point rotates about the origin in the ?? plane at a constant radius of 0.222 m with an angular velocity of 8.87 rad/s. The projection of this point's motion on the ? - or ? -axis is simple harmonic.What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period? Can you help me with all of these?A car tire is 62.0 cm in diameter. The car is traveling at a speed of 16.0 m/s. What is the tire's rotation frequency, in rpmrpm? What is the speed of a point at the top edge of the tire? What is the speed of a point at the bottom edge of the tire?A point rotates about the origin in the ?? plane at a constant radius of 0.266 m with an angular velocity of 8.01 rad/s. The projection of this point's motion on the ?- or ?-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period?
- Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1 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. a. If the particle moves counterclockwise at a constant angular velocity of ω, and at time t = 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 r, ω, and t. b. For an angular speed of ω = 7.4 rad/s, find the value of x, in meters, at time t = 0.44 s. 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? d. Which of the graphs correctly shows the projection of the position of the moving particle onto the x-axis as a function of t for two full cycles? e. Enter an expression for the velocity function,…A point rotates about the origin in the ?? plane at a constant radius of 0.211 m with an angular velocity of 9.01 rad/s. The projection of this point's motion on the ?- or ?-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period?