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?

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e 3 al 42% 16:33
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 = 9h1max and T2 = 3T,
%3D
Transcribed Image Text:e 3 al 42% 16:33 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 = 9h1max and T2 = 3T, %3D
e & ll 42% 2 16:33
A traveling wave on a taut string with
a tension force T, is given by the wave
function: y(x,t) = 0.05sin(2Ttx-100rt),
where x and y are in meters and t is in
seconds. If the linear mass density of
the string is given by µ = 0.01 kg/m,
then the tension force on the string
is,
25 N
100 N
1 N
10 N
0.5 N
A musical note on a piano has a
frequency of 31 Hz. If the tension in
the 2-m string is 308 N, and one-half
Transcribed Image Text:e & ll 42% 2 16:33 A traveling wave on a taut string with a tension force T, is given by the wave function: y(x,t) = 0.05sin(2Ttx-100rt), where x and y are in meters and t is in seconds. If the linear mass density of the string is given by µ = 0.01 kg/m, then the tension force on the string is, 25 N 100 N 1 N 10 N 0.5 N A musical note on a piano has a frequency of 31 Hz. If the tension in the 2-m string is 308 N, and one-half
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