(i) A particle of mass 2kg is oscillating with simple harmonic motion of period z seconds. The particle passes through a point A at a distance 0.5 m from the equilibrium position white travelling with speed 3 m/s. Find (a) the amplitude of the simple harmonic motion. (b) the magnitude of the force acting on the particle. rocicting medium such that its displacement z from a fixed point O is given
(i) A particle of mass 2kg is oscillating with simple harmonic motion of period z seconds. The particle passes through a point A at a distance 0.5 m from the equilibrium position white travelling with speed 3 m/s. Find (a) the amplitude of the simple harmonic motion. (b) the magnitude of the force acting on the particle. rocicting medium such that its displacement z from a fixed point O is given
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section12.2: Analysis Model: Particle In Simple Harmonic Motion
Problem 12.2QQ: Consider a graphical representation (Fig. 12.3) of simple harmonic motion as described...
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Answer a, b
![5.
(i)
A particle of mass 2kg is oscillating with simple harmonic motion of period z seconds. The
particle passes through a point A at a distance 0.5 m from the equilibrium position while travelling with
speed 3 m/s.
Find
(a) the amplitude of the simple harmonic motion.
(b) the magnitude of the force acting on the particle.
(ii) A particle P moves in a resisting medium such that its displacement z from a fixed point O is given
by the differential equation
da
+ 2-
+ 5z = 0.
dt?
dt
Show that P undergoes a damped harmonic motion and find the period of this motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4957fe4-4c01-40d3-938e-f3efa5fe6d1c%2Fbe084559-86d4-4806-a31e-e9e527141dd3%2F5mhx1ff_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.
(i)
A particle of mass 2kg is oscillating with simple harmonic motion of period z seconds. The
particle passes through a point A at a distance 0.5 m from the equilibrium position while travelling with
speed 3 m/s.
Find
(a) the amplitude of the simple harmonic motion.
(b) the magnitude of the force acting on the particle.
(ii) A particle P moves in a resisting medium such that its displacement z from a fixed point O is given
by the differential equation
da
+ 2-
+ 5z = 0.
dt?
dt
Show that P undergoes a damped harmonic motion and find the period of this motion.
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