6/54 The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated 30° clockwise from the position shown. Neglect any sag of the spring, whose mass is negligible.

6/54 The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated 30° clockwise from the position shown. Neglect any sag of the spring, whose mass is negligible.

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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

6/54 The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is
released from rest in a position where the bar has been rotated 30° clockwise from the position shown. Neglect any sag of the spring, whose mass is negligible.
Answer
= 5/0 - 12h ( √5 -√3)
α =
1
4
1
4
1
4
1
A
m
O
B
PROBLEM 6/54

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Step 1: Define the given Data and what is to find.

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Step 2: Draw the free body diagram of the bar.

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Step 3: Calculate the total deformation of the spring.

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Step 4: Determine the mass moment of inertia of the bar and the magnitude of the spring force.

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Step 5: Determine the initial angular acceleration of the bar.

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