Derive the velocity and acceleration of a particle given as <(t)=xm sin wt executing simple harmonic motion. Mention the relationship between the acceleration and the displacement for Q2 (b)(i) to satisfy the conditions of the simple harmonic motion.

Derive the velocity and acceleration of a particle given as <(t)=xm sin wt executing simple harmonic motion. Mention the relationship between the acceleration and the displacement for Q2 (b)(i) to satisfy the conditions of the simple harmonic motion.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.2CQ

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Question

Q2 a)

Q2(a) Define the term periodic motion with any two suitable examples.
(i)
Derive the velocity and acceleration of a particle given as
x(t)=xm sin wt executing simple harmonic motion.
(ii)
(b)
Mention the relationship between the acceleration and the
displacement for Q2 (b)(i) to satisfy the conditions of the simple
harmonic motion.
(c) The time period of a complete oscillation of a simple peldulum is twice
the original time of oscillation when the length of the pendulum is
increased by 0.8 m. Calculate the original length and the original time of
ocillation.

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