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For a simple harmonic oscillator, which of the following pairs of vector quantities can’t both point in the same direction? (The position vector is the displacement from equilibrium.)

(a) position and velocity

(b) velocity and acceleration

(c) position and acceleration

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Uttam Saikia
Uttam SaikiaLv10
30 Jan 2021
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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A harmonic oscillator is described by the function x(t) = (0.200 m) cos (0.350t). Find the oscillator’s (a) maximum velocity and (b) maximum acceleration. Find the oscillator’s (c) position, (d) velocity, and (c) acceleration when t = 2.00 s.

 

<p>A particle vibrates in simple harmonic motion along a vertical line between y1 and y2 as shown in the figure below. y = 0 is the equilibrium position. (Hint: Consider the relationship between acceleration and displacement for a particle in simple harmonic motion. Assume up along the screen is the positive direction.)<br />(a) Which of the following is true when the particle is at the highest point in its oscillation (y1)? (Select all that apply.)<br />1<br />zero velocity maximum negative velocity maximum negative acceleration maximum positive velocity zero acceleration maximum positive acceleration<br /><br /><br />(b) Which of the following is true when the particle is at the equilibrium position (y = 0) and is on its downward journey? (Select all that apply.)<br />2<br />zero velocity maximum negative velocity maximum negative acceleration maximum positive velocity zero acceleration maximum positive acceleration<br /><br /><br />(c) Which of the following is true when the particle is at the lowest point in its oscillation (y2)? (Select all that apply.)<br />3<br />zero velocity maximum negative velocity maximum negative acceleration maximum positive velocity zero acceleration maximum positive acceleration</p>

Which of the following are characteristics of Simple Harmonic Motion?

The period is independent of the amplitude.

The velocity is in phase with the position.

The restoring force is proportional to the displacement.

The damping is proportional to the velocity.

The acceleration is a constant

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