A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force constant k is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. If the rod is displaced by a small angle 0 from the vertical and released, show that it moves in angular SHM and calculate the period. (Hint: Assume that the angle 0 is small enough for the approximations sin 0 z 0 and cos 0 z 1 to be valid. The motion is + w²0 = 0, and the period is then T = d² 0 simple harmonic if dt2

A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force constant k is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. If the rod is displaced by a small angle 0 from the vertical and released, show that it moves in angular SHM and calculate the period. (Hint: Assume that the angle 0 is small enough for the approximations sin 0 z 0 and cos 0 z 1 to be valid. The motion is + w²0 = 0, and the period is then T = d² 0 simple harmonic if dt2

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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