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 = -kxwwwwww@ = 2n f = 2n/T√√W3T = 2πv(t) = -Aw sin(wt + p)a(t) = Aw² cos(wt + p) The following plot shows the velocity of a vibrating object as a functionof time:Velocity (cm/s)40-20--2040-0Mass on a Spring - Velocity24Time (s)6810Use data obtained from the plot to write equations of motion x(t), v(t) anda(t) for this object. Be sure to show explicitly through equations andcalculations how parameters for the equations were determined. Pleasereport values as decimals, not as ratios that include pi.

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Answered: PLEASE solve it using the equations…

Science

Physics

PLEASE solve it using the equations provided

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 43P: (a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the...

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Scalars and Vectors

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Question

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)

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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