The Attempt at a Solution
Sir if the pendulum is given an angular velocity about the -he z axis then whether eq 1 is right for balancing force and I have a contradict regarding eq 2 and eq 3[/B]
A pendulum rotating about an axis is a physical system where a rigid body is attached to a fixed point and allowed to swing or rotate freely under the influence of gravity.
The length of the pendulum affects its rotation by changing the period of its oscillations. A longer pendulum will have a longer period, meaning it takes more time to complete one full rotation, while a shorter pendulum will have a shorter period.
The period of a pendulum rotating about an axis is affected by its length, the mass of the object attached to the pendulum, and the strength of gravity. Other factors, such as air resistance, can also affect the period.
The amplitude of a pendulum, or the maximum angle it swings from its resting position, does not affect its rotation. The period of a pendulum only depends on its length and other external factors, not its amplitude.
A simple pendulum has a single point of suspension and a single point of mass, while a compound pendulum has multiple points of mass and suspension. The equation for the period of a simple pendulum is slightly different from that of a compound pendulum.