Question 4 A pendulum is suspended from a pin at point O as shown in the figure below. The pendulum is made up of two orthogonal slender rods, each weighing 90 N. Lengths m = 1.5 m and n = 0.75 m.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.87RP
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Question 4
A pendulum is suspended from a pin at point O as shown in the figure below. The
pendulum is made up of two orthogonal slender rods, each weighing 90 N.
Lengths m 1.5 m and n = 0.75 m.
G
A
B
(a) Calculate the moment of inertia of the pendulum about an axis passing through
point O. [Hint use Parallel Axis Theorem]
(b) Calculate the length y, from point O to the centre of mass of the pendulum at
point G.
(c) Determine the moment of inertia of the pendulum about an axis pass through
the centre of mass at point
of the pendulum.
(d) If the pendulum was given a torque of 60 Nm and started swinging about point
O, what is the angular acceleration experienced by the pendulum?
Transcribed Image Text:Question 4 A pendulum is suspended from a pin at point O as shown in the figure below. The pendulum is made up of two orthogonal slender rods, each weighing 90 N. Lengths m 1.5 m and n = 0.75 m. G A B (a) Calculate the moment of inertia of the pendulum about an axis passing through point O. [Hint use Parallel Axis Theorem] (b) Calculate the length y, from point O to the centre of mass of the pendulum at point G. (c) Determine the moment of inertia of the pendulum about an axis pass through the centre of mass at point of the pendulum. (d) If the pendulum was given a torque of 60 Nm and started swinging about point O, what is the angular acceleration experienced by the pendulum?
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