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. (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 ȳ, 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 G of the pendulum. (d) If the pendulum was given a torque of 60 N.m and started swinging about point O, what is the angular acceleration experienced by the pendulum?

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. (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 ȳ, 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 G of the pendulum. (d) If the pendulum was given a torque of 60 N.m and started swinging about point O, what is the angular acceleration experienced by the pendulum?

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Question

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.

(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 ȳ, 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 G of the pendulum.

(d) If the pendulum was given a torque of 60 N.m and started swinging about point
O, what is the angular acceleration experienced by the pendulum?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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