Page 8/5Q4: (M4)LEVelocity: V [km/hr]Wavelength: L [m]Mky(t)ModelHeight: H [m]The figure above shows a model of a person riding a unicycle that contains a springunder its seat. The spring constant is k = 10,600 N/m. Assume that damping is minimal,the wheel of the unicycle has no mass and is not a spring, the unicyle always staysperfectly upright, and the person is represented by a rigid mass M = kg.a) When the unicycle is being ridden at speed V = 10 km/hr over the sinusoidal bumpyterrain shown above, with bump spacing L=0.6 m and bump height H 0.05 m, whatwill be the steady-state peak-to-peak amplitude of the motion y(t) [m] of the personriding the unicycle?b) Recalculate the steady-state peak-to-peak amplitude of the motion for 2.5, 5, and 20km/hr. Will the rider have difficulty reaching speeds above 5 km/hr?

Answered: Image /qna-images/answer/abaa70a3-1d10-4739-9c5f-1ac09d63db5b.jpg

The figure above shows a model of a person riding a unicycle that contains a spring under its seat. The spring constant is k = 10,600 N/m. Assume that damping is minimal, the wheel of the unicycle has no mass and is not a spring, the unicyle always stays perfectly upright, and the person is represented by a rigid mass M = 50 kg. a) When the unicycle is being ridden at speed V = 10 km/hr over the sinusoidal bumpy terrain shown above, with bump spacing L = 0.6 m and bump height H 0.05 m, what will be the steady-state peak-to-peak amplitude of the motion y(t) [m] of the person riding the unicycle? b) Recalculate the steady-state peak-to-peak amplitude of the motion for 2.5, 5, and 20 km/hr. Will the rider have difficulty reaching speeds above 5 km/hr?

The figure above shows a model of a person riding a unicycle that contains a spring under its seat. The spring constant is k = 10,600 N/m. Assume that damping is minimal, the wheel of the unicycle has no mass and is not a spring, the unicyle always stays perfectly upright, and the person is represented by a rigid mass M = 50 kg. a) When the unicycle is being ridden at speed V = 10 km/hr over the sinusoidal bumpy terrain shown above, with bump spacing L = 0.6 m and bump height H 0.05 m, what will be the steady-state peak-to-peak amplitude of the motion y(t) [m] of the person riding the unicycle? b) Recalculate the steady-state peak-to-peak amplitude of the motion for 2.5, 5, and 20 km/hr. Will the rider have difficulty reaching speeds above 5 km/hr?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forced undamped vibrations

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Question

Page 8/5
Q4: (M4)
LE
Velocity: V [km/hr]
Wavelength: L [m]
M
k
y(t)
Model
Height: H [m]
The figure above shows a model of a person riding a unicycle that contains a spring
under its seat. The spring constant is k = 10,600 N/m. Assume that damping is minimal,
the wheel of the unicycle has no mass and is not a spring, the unicyle always stays
perfectly upright, and the person is represented by a rigid mass M = kg.
a) When the unicycle is being ridden at speed V = 10 km/hr over the sinusoidal bumpy
terrain shown above, with bump spacing L=0.6 m and bump height H 0.05 m, what
will be the steady-state peak-to-peak amplitude of the motion y(t) [m] of the person
riding the unicycle?
b) Recalculate the steady-state peak-to-peak amplitude of the motion for 2.5, 5, and 20
km/hr. Will the rider have difficulty reaching speeds above 5 km/hr?

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