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Solved: A linear torsional spring deforms such that an
Chapter 5, Problem 5-28(choose chapter or problem)
A linear torsional spring deforms such that an applied couple moment M is related to the spring’s rotation \(\theta\) in radians by the equation \(M=(20 \theta) \mathrm{N} \cdot \mathrm{m}\). If such a spring is attached to the end of a pin-connected uniform 10-kg rod, determine the angle \(\theta\) for equilibrium. The spring is undeformed when \(\theta=0^{\circ}\).
Questions & Answers
QUESTION:
A linear torsional spring deforms such that an applied couple moment M is related to the spring’s rotation \(\theta\) in radians by the equation \(M=(20 \theta) \mathrm{N} \cdot \mathrm{m}\). If such a spring is attached to the end of a pin-connected uniform 10-kg rod, determine the angle \(\theta\) for equilibrium. The spring is undeformed when \(\theta=0^{\circ}\).
ANSWER:
Step 1 of 2
Refer to the free body diagram with reaction force shown below.
