1. A foot pedal mechanism can be roughly modeled as a simple pendulum connected to a spring modeled as a pendulum connected to spring as depicted below. The purpose of the spring is to provide a return force for the pedal action. Compute the spring stiffness needed to keep the pendulum at 1° from the horizontal line and then obtain the natural frequency. Assume that that the angular deflections are small. Note that the pedal is horizontal when the spring is at its free length. The values in the figure are m = 0.5 kg, g = 9.8m/s², l₁ 0.2 m, and 12 = 0.3 m. 4₁ www 12 k 0 m 8

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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1. A foot pedal mechanism can be roughly modeled as a simple pendulum connected to a spring
modeled as a pendulum connected to spring as depicted below. The purpose of the spring is
to provide a return force for the pedal action. Compute the spring stiffness needed to keep
the pendulum at 1° from the horizontal line and then obtain the natural frequency. Assume
that that the angular deflections are small. Note that the pedal is horizontal when the spring
is at its free length. The values in the figure are m = 0.5 kg, g = 9.8m/s², l₁ 0.2 m, and
12 = 0.3 m.
4₁
www
12
k
0
m
8
Transcribed Image Text:1. A foot pedal mechanism can be roughly modeled as a simple pendulum connected to a spring modeled as a pendulum connected to spring as depicted below. The purpose of the spring is to provide a return force for the pedal action. Compute the spring stiffness needed to keep the pendulum at 1° from the horizontal line and then obtain the natural frequency. Assume that that the angular deflections are small. Note that the pedal is horizontal when the spring is at its free length. The values in the figure are m = 0.5 kg, g = 9.8m/s², l₁ 0.2 m, and 12 = 0.3 m. 4₁ www 12 k 0 m 8
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