Determine the mathematical model for the translational-rotational dynamic system shown in the figure. Note that: • f(t) is a force input • at the pivot, there is a torsional damper, br • The pendulum's rod (1₁+12+13) can be assumed to be massless. Make sure to show all your steps, sign conventions, x₁ (t) and 8(t) orientations, assumptions, diagrams, etc. ki 500 mi &IL 1₂ b - fH) br
Determine the mathematical model for the translational-rotational dynamic system shown in the figure. Note that: • f(t) is a force input • at the pivot, there is a torsional damper, br • The pendulum's rod (1₁+12+13) can be assumed to be massless. Make sure to show all your steps, sign conventions, x₁ (t) and 8(t) orientations, assumptions, diagrams, etc. ki 500 mi &IL 1₂ b - fH) br
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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Determine the mathematical model for the translational-rotational dynamic system shown in the figure.
Note that: • f(t) is a force input
• at the pivot, there is a torsional damper, bT
• The pendulum’s rod (l 1 +l 2 +l 3 ) can be assumed to be massless.
Make sure to show all your steps, sign conventions, ?1(?) and ?(?) orientations, assumptions, diagrams, etc.

Transcribed Image Text:Determine the mathematical model for the translational-rotational dynamic system shown in the figure.
Note that:
• f(t) is a force input
at the pivot, there is a torsional damper, br
• The pendulum's rod (11+12+13) can be assumed to be
massless.
Make sure to show all your steps, sign conventions, x₁ (t)
and 0 (t) orientations, assumptions, diagrams, etc.
ki
m
80 mi
1₂
b
- f(t)
br
d
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