An object stretches a spring 6 inches in equilibrium. Find its displacement for t > 0 if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.

An object stretches a spring 6 inches in equilibrium. Find its displacement for t > 0 if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.

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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Question

Assume that there's no damping.

Please indicate if the system exhibits resonance.

### Problem 4:
An object stretches a spring 6 inches in equilibrium. Find its displacement for \( t > 0 \) if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/second. Find the frequency, period, amplitude, and phase angle of the motion.

### Problem 5:
**Challenge/Guided Problem**
An object stretches a spring 5 cm in equilibrium. It is initially displaced 10 cm above equilibrium and given an upward velocity of 0.25 m/s. Find and graph its displacement for \( t > 0 \). Find the frequency, period, amplitude, and phase angle of the motion.

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