Two identical thin bars, each of mass m and length L, are welded together at a right angle as shown in figure 1. This T-shaped assembly is pinned to ground at point 0. Block B is given a prescribed forced displacement x» = b sin wt. Friction and damping are neglected. a) Derive the equation of motion for the system in terms of the angular position of the bars, 0, and parameters m, L, k, and g; b) Derive an expression for the natural frequency of the system; c) Derive an expression for the forced angular response of the system; L/2 L/2 L Хв

Two identical thin bars, each of mass m and length L, are welded together at a right angle as shown in figure 1. This T-shaped assembly is pinned to ground at point 0. Block B is given a prescribed forced displacement x» = b sin wt. Friction and damping are neglected. a) Derive the equation of motion for the system in terms of the angular position of the bars, 0, and parameters m, L, k, and g; b) Derive an expression for the natural frequency of the system; c) Derive an expression for the forced angular response of the system; L/2 L/2 L Хв

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

Two identical thin bars, each of mass m and length L, are welded together at a right angle as shown in
figure 1. This T-shaped assembly is pinned to ground at point 0. Block B is given a prescribed forced
displacement xg = b sin øt. Friction and damping are neglected.
a) Derive the equation of motion for the system in terms of the angular position of the bars, 6, and
parameters m, L, k, and g;
b) Derive an expression for the natural frequency of the system;
c) Derive an expression for the forced angular response of the system;
L/2
L/2
L
Хв

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