Prob.1 (1) State the required conditions of simple harmonic motion (SHH).

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Prob.1
(i)
State the required conditions of simple harmonic motion (SHH).
(ii)
Consider the torsional pendulum with a moment of inertia I and torsion
constant K. If the pendulum starts its oscillation with an initial angle O, and angular
at t = 0. Obtain the equation of motion and angular frequency of
dt
de
velocity j
%3D
oscillation w. for this pendulum and discuss that it can be classified as SHH.
Show that the torsional angle and angular velocity a of the pendulum for all
time can be expressed as
(iii)
sin wt
0 (t) = 0; coS wt +
w(t) = -w0; sin wt + w cos wt .
Transcribed Image Text:Prob.1 (i) State the required conditions of simple harmonic motion (SHH). (ii) Consider the torsional pendulum with a moment of inertia I and torsion constant K. If the pendulum starts its oscillation with an initial angle O, and angular at t = 0. Obtain the equation of motion and angular frequency of dt de velocity j %3D oscillation w. for this pendulum and discuss that it can be classified as SHH. Show that the torsional angle and angular velocity a of the pendulum for all time can be expressed as (iii) sin wt 0 (t) = 0; coS wt + w(t) = -w0; sin wt + w cos wt .
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