Explanation Given information: The equation is d 2 s d t 2 = L d 2 θ d t 2 and the figure is, Calculation: Consider the equation for Newton’s second law. F = m a Here, a = d 2 s d t 2 . The components of forces are, F x = m d 2 x d t 2 F y = m d 2 y d t 2 Consider Figure below. The components of forces from the above figure are, F x = − T sin θ F y = T cos θ − m g Substitute the values in above equations. m d 2 x d t 2 = − T sin θ m d 2 y d t 2 = T cos θ − m g From the figure, x = l sin θ y = l − l cos θ Differentiate above equations

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 14.2, Problem 57PS

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To show:The motion is similar to the simple harmonic motion.

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The motion is similar to the simple harmonic motion.

Solution Summary: The author illustrates how the motion is similar to the simple harmonic motion.

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