14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in simple harmonic motion is shown below. m = 0.05kg 2.00 1.00 MA What corres 0.00 t(s) -1.00 -2.00 For this motion, find the following: I The amplitude Corres 26 The period The angular frequency d) The maximum speed e) The maximum acceleration f) What is the amount of mechanical energy of the system during the motion? g) Write an equation for its position as a function of time. (Find an equation for its position in terms of sine function) (x= (2.00 cm)sin (nt) E = 2.47X1 4 what
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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Solve question 6, find the Etotal?
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14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in
simple harmonic motion is shown below.
m = 0.05kg
* (cm)
3
t(s)
4 what
2.00
1.00
0.004
T = 20 m
m
k = 0.123 N/m
what value of x
corresponds to Umay?
value of x
corresponds to amay?
6 Find Exotal = ?
1
Find Vmax=?
E=2₁47x10³J √man = 0.03141/3/2
-1.00
-2.00
For this motion, find the following:
I
The amplitude
26 The period
C) The angular frequency
d) The maximum speed
e) The maximum acceleration
f) What is the amount of mechanical energy of the system during the motion?
g) Write an equation for its position as a function of time. (Find an equation for its position
in terms of sine function) (x= (2.00 cm)sin (nt)"
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Solved in 3 steps with 3 images
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