Free vibration of undamped single degree of freedom system

This tutorial provides a solution to the problem of free vibration of undamped single degree of freedom system #SDoF. The recording has been formatted to a vertical format for the best viewing experience on your mobile devices.
*Question*
A single-degree of freedom system having a mass of 20 kg and stiffness of 35 N/mm is given an initial displacement of 10 mm and an initial velocity of 100 mm/s. Find:
(a) the natural frequency;
(b) the period of vibration;
(c) the amplitude of vibration; and
(d) the time at which the third maximum peak occurs.
Watch tutorial/Solved problems on Structural dynamics in the following playlist
• Tutorials: Structural ...
Watch full videos on the series #Structuraldynamicslectures on these links
1. Introduction to Structural Dynamics • 1. Introduction to Str...
2. Free Vibration of undamped SDoF system • 2. Free Vibration of u...
3. Free Vibration of damped SDoF system • 2. Free Vibration of u...
4. Forced (harmonic loading) vibration for SDOF systems • 4. Forced vibration of...
5. Forced (arbitrary loading) vibration for SDOF systems • 5. Forced vibration fo...
6. Free vibration of MDoF dynamic systems • 6. Free vibration of m...
7. Forced vibration of #MDoF dynamic systems • 7. Forced vibration of...
Main reference books used in this course
1. Structural Dynamics: Theory and Computation by Mario Paz & Young H.
2. Dynamics of Structures by Humar J.L
3. Fundamentals of Structural Dynamics by Craig & Kurdila
Other references books used in preparation of tutorials
1. Dynamics of Structure by Ankil K. Chopra (in SI units)
2. Dynamics of Structures by Clough & Penzien
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[@humphrysmurray6453]

sir, i dont understand the significance of calculating the phase angle, please elaborate. why not just multiply T by 2 if there is an initial displacement and by 2.25 if not?

[@theresanteere521]

Ni kama nitaanza kuelewa physics😊

[@DrGathimba]

Haha. Pole pole tu. Hi masomo ni rahisi