E A simple pendalum consists of a point mass m suspended by a (weight less a vertical plane under the action of gravity. Show that for small ostillations (small 0), both 0 and r are sinusoidal functions of time, that is, the motion is simple harmonic. Hint: Write the differential Hauation F/= sin 0 = 0 for small 0, and show that 0 cord or rod of length 1, as shown, and swinging in Use the approximation = A sin wt is a solution of ma for the particle m. What are 4 and ?

E A simple pendalum consists of a point mass m suspended by a (weight less a vertical plane under the action of gravity. Show that for small ostillations (small 0), both 0 and r are sinusoidal functions of time, that is, the motion is simple harmonic. Hint: Write the differential Hauation F/= sin 0 = 0 for small 0, and show that 0 cord or rod of length 1, as shown, and swinging in Use the approximation = A sin wt is a solution of ma for the particle m. What are 4 and ?

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Description: A simple pendalum consists of a point mass m suspended by a(weight less cord or rod of length 1, as shown, and swinging ina vertical plane under the action of gravity. Show that for smalloscillations (small 0), both 0 and r are sinusoidal functions

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.12P

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