3. A light rod AB of length 600 mm has a fixed hinge at A and a mass of 5 kg concentrated at B. A vertical spring is attached to point C a distance 400 mm from end A. The spring which extends 25 mm for a direct load of 5 kgf is so adjusted that the rod AB is horizontal in the rest position. Show that if AB is slightly displaced the rod oscillates in a simple harmonic manner with a periodic time of about 0.48 s.

3. A light rod AB of length 600 mm has a fixed hinge at A and a mass of 5 kg concentrated at B. A vertical spring is attached to point C a distance 400 mm from end A. The spring which extends 25 mm for a direct load of 5 kgf is so adjusted that the rod AB is horizontal in the rest position. Show that if AB is slightly displaced the rod oscillates in a simple harmonic manner with a periodic time of about 0.48 s.

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

3.
A light rod AB of length 600 mm has a fixed hinge at A and a mass of 5 kg concentrated at B. A
vertical spring is attached to point C a distance 400 mm from end A. The spring which extends
25 mm for a direct load of 5 kgf is so adjusted that the rod AB is horizontal in the rest position.
Show that if AB is slightly displaced the rod oscillates in a simple harmonic manner with a
periodic time of about 0.48 s.

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