A traveling wave on a taut string with a tension force T is given by the wave function: y(x,t) = 0.1sin(2rtx-300t), where x and y are in meters and t is in seconds. The linear mass density of the string is u = 100 g/m, and the string is 10 m-long. The total energy on the string is

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Chapter1: Units, Trigonometry. And Vectors
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Then we have:
A traveling wave on a taut string with
a tension force T is given by the wave
function: y(x,t) = 0.1sin(2tx-300t),
where x and y are in meters and t is in
seconds. The linear mass density of
the string is u = 100 g/m, and the
string is 10 m-long. The total energy
on the string is
450 J
45 J
90 J
22.5 J
225 J
Consider a place where the gravity is
4 times the gravity on Earth (g' = 4g),
! then the frequency of oscillation of a
simple nendulum in that place f' as.
Transcribed Image Text:4:48 K/s Then we have: A traveling wave on a taut string with a tension force T is given by the wave function: y(x,t) = 0.1sin(2tx-300t), where x and y are in meters and t is in seconds. The linear mass density of the string is u = 100 g/m, and the string is 10 m-long. The total energy on the string is 450 J 45 J 90 J 22.5 J 225 J Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), ! then the frequency of oscillation of a simple nendulum in that place f' as.
4:48
0.3 sec
0.1 sec
0.05 sec
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 = 9h1,max and T2 = 3T,
Transcribed Image Text:4:48 0.3 sec 0.1 sec 0.05 sec 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 = 9h1,max and T2 = 3T,
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