PLEASE solve it using the equations provided

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 8CQ
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PLEASE solve it using the equations provided.
Hooke's Law:
Period, frequency:
Natural frequency of a system:
The simple pendulum:
Vibrational equations of motion:
x(t) = A cos(@t + p)
F = -kx
wwwwww
@ = 2n f = 2n/T
√
√
W3
T = 2π
v(t) = -Aw sin(wt + p)
a(t) = Aw² cos(wt + p)
Transcribed Image Text:Hooke's Law: Period, frequency: Natural frequency of a system: The simple pendulum: Vibrational equations of motion: x(t) = A cos(@t + p) F = -kx wwwwww @ = 2n f = 2n/T √ √ W3 T = 2π v(t) = -Aw sin(wt + p) a(t) = Aw² cos(wt + p)
The following plot shows the velocity of a vibrating object as a function
of time:
Velocity (cm/s)
40-
20-
-20
40-
0
Mass on a Spring - Velocity
2
4
Time (s)
6
8
10
Use data obtained from the plot to write equations of motion x(t), v(t) and
a(t) for this object. Be sure to show explicitly through equations and
calculations how parameters for the equations were determined. Please
report values as decimals, not as ratios that include pi.
Transcribed Image Text:The following plot shows the velocity of a vibrating object as a function of time: Velocity (cm/s) 40- 20- -20 40- 0 Mass on a Spring - Velocity 2 4 Time (s) 6 8 10 Use data obtained from the plot to write equations of motion x(t), v(t) and a(t) for this object. Be sure to show explicitly through equations and calculations how parameters for the equations were determined. Please report values as decimals, not as ratios that include pi.
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