A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring in the frictionless air track. Its position as a function of time t is given by r(t) = (0.045 m)cos (15 rad/s)t- 7/8. a) What is the spring constant? k= N/m b) What are the frequency and period of the oscillation? f= Hz T= c) What is the maximum speed that the object reaches? vmax= m/s

Elements Of Electromagnetics
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A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring ir the frictionless air track. Its position as
a function of time t is given by r(t) = (0.045 m)cos[(15 rad/s)t - /8).
a) What is the spring constant?
k=
N/m
b) What are the frequency and period of the oscillation?
f=
Hz
T=
c) What is the maximum speed that the object reaches? vmax=
m/s
What is the particle's position when the velocity is maximum?
d) What is the maximum acceleration that the object reaches? amax=
m/s?
What is the particle's position when the acceleration is maximum?
e) What is the maximum energy of the system?
KE=
J
f) Find the acceleration of the object when the object is at x=0.025 m.
m/s2
a=
Transcribed Image Text:A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring ir the frictionless air track. Its position as a function of time t is given by r(t) = (0.045 m)cos[(15 rad/s)t - /8). a) What is the spring constant? k= N/m b) What are the frequency and period of the oscillation? f= Hz T= c) What is the maximum speed that the object reaches? vmax= m/s What is the particle's position when the velocity is maximum? d) What is the maximum acceleration that the object reaches? amax= m/s? What is the particle's position when the acceleration is maximum? e) What is the maximum energy of the system? KE= J f) Find the acceleration of the object when the object is at x=0.025 m. m/s2 a=
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