1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why? Given: L, g, and m.2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.] The pendulum (mass m) rotates about the vertical axis ( g). The chord(length L) is inextensible and has no mass. It is always fully extended.The motion is free from friction and air resistance.The pendulum is lifted to horizontal position a= T/2 and given thecircumferential ( 0 -direction) initial velocity vo ·m

Answered: 1) Is it possible to prescribe the…

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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1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why? Given: L, g, and m.

2) After transient motion, the pendulum settles at steady state rotation at
alpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]

The pendulum (mass m) rotates about the vertical axis ( g). The chord
(length L) is inextensible and has no mass. It is always fully extended.
The motion is free from friction and air resistance.
The pendulum is lifted to horizontal position a= T/2 and given the
circumferential ( 0 -direction) initial velocity vo ·
m

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