The spring is uncompressed when the uniform sender bar AB is in the vertical position shown. Bar AB with a mass of 50 kg and a length of 1 m is released from rest in the position where the bar has been rotated 30° clockwise from the position shown. This initial position of the bar AB is illustrated using the dashed line in the figure. Neglect any sag of the spring as well as the spring mass. (b) Find the angular velocity of the bar when it reaches the vertical position.

The spring is uncompressed when the uniform sender bar AB is in the vertical position shown. Bar AB with a mass of 50 kg and a length of 1 m is released from rest in the position where the bar has been rotated 30° clockwise from the position shown. This initial position of the bar AB is illustrated using the dashed line in the figure. Neglect any sag of the spring as well as the spring mass. (b) Find the angular velocity of the bar when it reaches the vertical position.

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

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

The spring is uncompressed when the
uniform sender bar AB is in the vertical
position shown. Bar AB with a mass of 50 kg
and a length of 1 m is released from rest in
the position where the bar has been rotated
30° clockwise from the position shown. This
initial position of the bar AB is illustrated using
the dashed line in the figure. Neglect any sag
of the spring as well as the spring mass.
(b) Find the angular velocity of the bar
when it reaches the vertical position.
A
Initial position of the
bar AB when it is
released from rest
k=12 kN/m
Answers: (a) a = 198.951 rad/s²
(b) 2 = 10 rad/s
30º
B

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