The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.2cos(wt), where x is in meters and t is in seconds. At x = 0, the %3D particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals:

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter2: One Dimensional Motion
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The equation of motion of a particle in simple harmonic motion is given by:
x(t) = 0.2cos(wt), where x is in meters and t is in seconds. At x = 0, the
%3D
particle's velocity is v =-1.256 m/s. The period of oscillation, T, equals:
O 3 sec
0.25 sec
1.5 sec
1 sec
0.5 sec
If the tension in the 2-m
Transcribed Image Text:90 J Clear selection The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.2cos(wt), where x is in meters and t is in seconds. At x = 0, the %3D particle's velocity is v =-1.256 m/s. The period of oscillation, T, equals: O 3 sec 0.25 sec 1.5 sec 1 sec 0.5 sec If the tension in the 2-m
4 sec
Clear selection
A simple pendulum is set into motion at two different times with different
initial conditions. The first time: the bob is in its equilibrium position and is
given an initial velocity + 2 m/s. The maximum height reached by the bob is
h1,max and the period of motion is T1. The second time: the bob is in its
equilibrium position and is given an initial velocity + 4 m/s. The maximum
height reached by the bob is h2,max and the period of motion is T2. Assume
that the motion is simple harmonic, which of the following is true?
h2.max = 9h,max and T2 T,
hz.max= h1.max/2 and T, T;
Transcribed Image Text:4 sec Clear selection A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity + 2 m/s. The maximum height reached by the bob is h1,max and the period of motion is T1. The second time: the bob is in its equilibrium position and is given an initial velocity + 4 m/s. The maximum height reached by the bob is h2,max and the period of motion is T2. Assume that the motion is simple harmonic, which of the following is true? h2.max = 9h,max and T2 T, hz.max= h1.max/2 and T, T;
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