A pendulum consists of a rod AB and disk Cas shown in Figure Q4. The pendulum is connected with the torsional spring at point A. When 0 = 0°, the pendulum is a rest, and the torsional spring is untwisted. Rod AB has a mass of mnd = 6 kg, and disk Chas a mass of ma=2 kg. The pendulum is then released and falls downward at the instant e= 90°. O Determine the mass moment inertia of the pendulum. (i) Draw the Free Body Diagram when the pendulum at 0 = 0° and @ = 90°. (iii) Will the angular velocity, e» for the pendulum increased when it released and fell downward from the angle 0* to 90°, if the mass of disk maa, has the ranged of 2 kg to 6 kg? Proof the calculation. State the answer up to four (4 decimal places.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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450 mm
75 mm
k = 20 N-m/rad
A
Figure Q4: The pendulum
Transcribed Image Text:450 mm 75 mm k = 20 N-m/rad A Figure Q4: The pendulum
(b) A pendulum consists of a rod AB and disk Cas shown in Figure Q4. The pendulum
is connected with the torsional spring at point A. When 0 = 0°, the pendulum is at
rest, and the torsional spring is untwisted. Rod AB has a mass of mrod = 6 kg, and
disk Chas a mass of maak =2 kg. The pendulum is then released and falls downward
at the instant 0= 90°.
) Determine the mass moment inertia of the pendulum.
(ii) Draw the Free Body Diagram when the pendulum at e = 0° and 0 = 90°.
(iii) Will the angular velocity, o for the pendulum increased when it released and
fell downward from the angle 0° to 90°, if the mass of disk maat, has the
ranged of 2 kg to 6 kg? Proof the calculation. State the answer up to four (4)
decimal places.
Transcribed Image Text:(b) A pendulum consists of a rod AB and disk Cas shown in Figure Q4. The pendulum is connected with the torsional spring at point A. When 0 = 0°, the pendulum is at rest, and the torsional spring is untwisted. Rod AB has a mass of mrod = 6 kg, and disk Chas a mass of maak =2 kg. The pendulum is then released and falls downward at the instant 0= 90°. ) Determine the mass moment inertia of the pendulum. (ii) Draw the Free Body Diagram when the pendulum at e = 0° and 0 = 90°. (iii) Will the angular velocity, o for the pendulum increased when it released and fell downward from the angle 0° to 90°, if the mass of disk maat, has the ranged of 2 kg to 6 kg? Proof the calculation. State the answer up to four (4) decimal places.
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