# Pendulum rotating about an axis

• Apashanka das
In summary, the conversation discusses the use of equations and diagrams in solving a problem involving a pendulum with an angular velocity. There is a discrepancy between equations 2 and 3, and the person suggests clearly identifying the forces and using their components to create balanced equations. The person also asks for more information about the problem statement in order to provide further assistance.

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## 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]

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I think you are marking too many forces on your diagram.
When you resolve a force into components, you are saying those components are equivalent to that original force. They don't add to it.
You can replace a force by two orthogonal components, but you can't keep taking more bits in other directions.

Identify clearly the actual forces, then in your calculations, use their components to produce balanced equations.
It might even help to say for each equation, what direction you are looking at.

I would love to help with this problem, but I have no idea what question you're trying to answer. What is the exact problem statement?

## 1. What is a pendulum rotating about an axis?

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.

## 2. How does the length of the pendulum affect its rotation?

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.

## 3. What factors affect the period of a pendulum rotating about an axis?

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.

## 4. How does the amplitude of a pendulum affect its rotation?

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.

## 5. What is the difference between a simple and compound pendulum?

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.