A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.90 cm, and the frequency is 2.70 Hz.   (a) Find an expression for the position of the particle as a function of time.   (b) Determine the maximum speed of the particle.   (c) Determine the earliest time (t > 0) at which the particle has this speed

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Chapter1: Units, Trigonometry. And Vectors
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A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.90 cm, and the frequency is 2.70 Hz.

 

(a) Find an expression for the position of the particle as a function of time.

 

(b) Determine the maximum speed of the particle.

 

(c) Determine the earliest time (t > 0) at which the particle has this speed

 

(d) Find the maximum positive acceleration of the particle.

 

(e) Find the earliest time (t > 0) at which the particle has this acceleration.

 

(f) Determine the total distance traveled between t = 0 and t = 0.56 s.

A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.90 cm,
and the frequency is 2.70 Hz.
(a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not
include units in your answer.)
x=
(b) Determine the maximum speed of the particle.
cm/s
(c) Determine the earliest time (t > 0) at which the particle has this speed
(d) Find the maximum positive acceleration of the particle.
cm/s2
(e) Find the earliest time (t > 0) at which the particle has this acceleration..
(f) Determine the total distance traveled between t= 0 and t= 0,56 s.
cm
Transcribed Image Text:A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.90 cm, and the frequency is 2.70 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x= (b) Determine the maximum speed of the particle. cm/s (c) Determine the earliest time (t > 0) at which the particle has this speed (d) Find the maximum positive acceleration of the particle. cm/s2 (e) Find the earliest time (t > 0) at which the particle has this acceleration.. (f) Determine the total distance traveled between t= 0 and t= 0,56 s. cm
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