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The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using a rotating disk. If lights are placed vertically to the side of the rotating disk, the peg will produce shadow that moves up and down on a nearby wall, as in the figure below. velocity Write the equations of motion for the shadow taking the position at t= 0 to be y=0 with the mass moving in the positive y-direction, where y=0 is directly to the right of the disk's center. (Assume that the +y-axis is up along the page, the disk's radius is A, and that the disk is rotating with angular frequency . Use the following as necessary: A, t, and w.) position y(t) = acceleration + v(t) = Vertical disk Peg a(t) = Lights

The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using a rotating disk. If lights are placed vertically to the side of the rotating disk, the peg will produce shadow that moves up and down on a nearby wall, as in the figure below. velocity Write the equations of motion for the shadow taking the position at t= 0 to be y=0 with the mass moving in the positive y-direction, where y=0 is directly to the right of the disk's center. (Assume that the +y-axis is up along the page, the disk's radius is A, and that the disk is rotating with angular frequency . Use the following as necessary: A, t, and w.) position y(t) = acceleration + v(t) = Vertical disk Peg a(t) = Lights

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using a rotating disk. If lights are placed vertically to the side of the rotating disk, the peg will produce a shadow that moves up and down on a nearby wall, as in the figure below. velocity acceleration Shadow Write the equations of motion for the shadow taking the position at t = 0 to be y = 0 with the mass moving in the positive y-direction, where y = 0 is directly to the right of the disk's center. (Assume that the +y-axis is up along the page, the disk's radius is A, and that the disk is rotating with angular frequency w. Use the following as necessary: A, t, and w.) position y(t) = + v(t) = Vertical disk Peg a(t) = Lights
Transcribed Image Text:The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using a rotating disk. If lights are placed vertically to the side of the rotating disk, the peg will produce a shadow that moves up and down on a nearby wall, as in the figure below. velocity acceleration Shadow Write the equations of motion for the shadow taking the position at t = 0 to be y = 0 with the mass moving in the positive y-direction, where y = 0 is directly to the right of the disk's center. (Assume that the +y-axis is up along the page, the disk's radius is A, and that the disk is rotating with angular frequency w. Use the following as necessary: A, t, and w.) position y(t) = + v(t) = Vertical disk Peg a(t) = Lights
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