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 3.40 cm, and the frequency is 1.70 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.) b) Determine the maximum speed of the particle. c) Determine the earliest time (t > 0) at which the particle has this speed

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 3.40 cm, and the frequency is 1.70 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.) 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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Question

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.)

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 = 0.88 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 3.40 cm, and the frequency
is 1.70 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.)
3.4 sin (3.4rt)
X =
(b) Determine the maximum speed of the particle.
36.3168
cm/s
(c) Determine the earliest time (t > 0) at which the particle has this speed
.2941118
(d) Find the maximum positive acceleration of the particle.
.2
387.915
cm/s?
(e) Find the earliest time (t > 0) at which the particle has this acceleration.
.441176
S
(f) Determine the total distance traveled between t
= 0 and t = 0.88 s.
Your response differs from the correct answer by more than 10%. Double check your calculations. cm

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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