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CT1: A mass attached to a spring oscillates back and forth as indicated in the position vs. time plot below. At point P, the mass has
A. positive velocity and positive acceleration.
B. positive velocity and negative acceleration.
C. positive velocity and zero acceleration.
D. negative velocity and positive acceleration.
E. negative velocity and negative acceleration.
F. negative velocity and zero acceleration.
G. zero velocity but is accelerating (positively or negatively).
H. zero velocity and zero acceleration.
CT2: A mass suspended from a spring is oscillating up and down as indicated. Consider two possibilities: (i) at some point during the oscillation the mass has zero velocity but is accelerating (positively or negatively); (ii) at some point during the oscillation the mass has zero velocity and zero acceleration.
A. Both occur sometime during the oscillation.B. Neither occurs during the oscillation.C. Only (i) occurs.D. Only (ii) occurs.
Ch 15 Oscillatory Motion15-2 A Particle in Simple Harmonic Motion
x = Acos(t+) = 2/T f = 1/T = /2
a = - 2x
Ch 15 Oscillatory Motion15-2 A Particle in Simple Harmonic Motion: Mass on a Spring
Fx = Fs = -kx = ma = md2x/dt2
d2x/dt2 + 2x = 0, where 2 = k/m
Try x = Acos(t+)
P15.4 (p.441)
Ch 15 Oscillatory Motion15-3 Energy of the Simple Harmonic Oscillator
E = kA2/2 = mvmax2/2 = m(A)2/2 = kA2/2
E = kx2/2 + mv2/2 is constant
P15.17 (p.441)
Polling Question: Which chapters from the Exam 1 material would you like to review most?
A. 2
B. 3
C. 4
Polling Question: Which chapters from Exam 2 material would you like to review most?
A. 5
B. 6
C. 7
D. 8
Polling Question: Which chapters from the new material would you like to review most?
A. 9
B. 10
C. 11
D. 12
E. 15
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