A pendulum consists of a rod of length 2 m and mass 4 kg with a solid sphere of mass 9 kg and radius 0.7 m attached at one end. The axis of rotation is as shown below. What is the angular velocity (in rad/s) of the pendulum at its lowest point if it is released from rest at an angle of 30° from the vertical? (Enter the magnitude.)

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Chapter1: Units, Trigonometry. And Vectors
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### Pendulum System Description

A pendulum system consists of a rod and a sphere. The rod has a length of 2 meters and a mass of 4 kg. Attached to one end of the rod is a solid sphere with a mass of 9 kg and a radius of 0.7 meters. The pendulum rotates about an axis, as illustrated in the diagram.

### Diagram Explanation

- **Axis**: The pivot point around which the pendulum swings.
- **Rod**: Illustrated as a vertical line with a length marked as 2 meters.
- **Sphere**: Positioned at the lower end of the rod, representing the solid sphere.

### Problem Statement

Determine the angular velocity (in radians per second) of the pendulum at its lowest point when it is released from rest at an angle of 30° from the vertical.

### Answer Box

An empty box is provided to input the calculated angular velocity in rad/s.
Transcribed Image Text:### Pendulum System Description A pendulum system consists of a rod and a sphere. The rod has a length of 2 meters and a mass of 4 kg. Attached to one end of the rod is a solid sphere with a mass of 9 kg and a radius of 0.7 meters. The pendulum rotates about an axis, as illustrated in the diagram. ### Diagram Explanation - **Axis**: The pivot point around which the pendulum swings. - **Rod**: Illustrated as a vertical line with a length marked as 2 meters. - **Sphere**: Positioned at the lower end of the rod, representing the solid sphere. ### Problem Statement Determine the angular velocity (in radians per second) of the pendulum at its lowest point when it is released from rest at an angle of 30° from the vertical. ### Answer Box An empty box is provided to input the calculated angular velocity in rad/s.
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