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.)
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.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75758824-d9ac-45ff-8935-fa266cdc3747%2Fe24b3555-3671-4dd7-ac4c-c4a6d2578206%2Fgp3jo6l_processed.png&w=3840&q=75)
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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