- #1
andreaumali
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Homework Statement
A cheerleader waves her pom-pom in simple harmonic motion with an amplitude of .180m and a frequency of .850Hz.
a) Find the maximum magnitude of the acceleration and of the velocity.
b) Find the acceleration and speed when the pom-pom's coordinate is x=+.090m.
c) Find the time required to move from the equilibrium position directly to a point .120m away.
d) Which of the quantities asked for in parts (a), (b), and (c) can be found using the energy approach (E = K + U = 1/2 mv^2 + mgh = 1/2 kA^2) and which cannot? Explain.
Homework Equations
i. x=Asin(ωt)
ii. vx,max=ωA
iii. ax,max=-ω2A
where ω=angular frequency, A=amplitude, x=displacement from equilibrium, t=time
K=1/2 mv^2
U=mgh
The Attempt at a Solution
I was able to calculate (a) using formulas ii and iii. vmax=.961m/s; amax=5.13m/s^2
I was also able to calculate (c) using formula i. x=7.16s
However, I am unsure of how to find (b).
I think (d) is velocity but I'm not sure if from velocity you'd be able to get x and acceleration?