1. A spring lies horizontally in the x direction. The spring is attached at one end to a vertical wall and at the other end to a block of mass m. The ground is frictionless. The block can be pulled out from the wall so that the spring stretches, and when released the block will oscillate periodically, in a motion that can be described in terms of a "wave" equation: x(t) = XmCOs(wt). a. Who cares? That is: Why do we study this situation in the first place? b. Draw a picture of this spring-block-wall diagram. Label the equilibrium position of the block (x = 0) and the two extreme positions that it is capable of reaching (x = Xm and -Xm). C. Say I stretch the block out to position x = Xm and release it. Draw two full oscillations of the resulting motion in x-t space, where x is position and t is time. Label Xm. d. If the ground is frictionless: how does the total energy of the block at the equilibrium position (x=0) relate to the total energy of the block at the extrema (x = +/- Xm)? %3D

1. A spring lies horizontally in the x direction. The spring is attached at one end to a vertical wall and at the other end to a block of mass m. The ground is frictionless. The block can be pulled out from the wall so that the spring stretches, and when released the block will oscillate periodically, in a motion that can be described in terms of a "wave" equation: x(t) = XmCOs(wt). a. Who cares? That is: Why do we study this situation in the first place? b. Draw a picture of this spring-block-wall diagram. Label the equilibrium position of the block (x = 0) and the two extreme positions that it is capable of reaching (x = Xm and -Xm). C. Say I stretch the block out to position x = Xm and release it. Draw two full oscillations of the resulting motion in x-t space, where x is position and t is time. Label Xm. d. If the ground is frictionless: how does the total energy of the block at the equilibrium position (x=0) relate to the total energy of the block at the extrema (x = +/- Xm)? %3D

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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