You are looking down on a disc that is spinning counterclockwise in the xy plane (positive z points out of the page towards you). The mass of the disc is 0.5 kg and it has a radius of 0.1 meters. The disc has an initial angular speed of 45 rotations per minute. Suddenly, you drop a small, but dense, wet glob of clay straight down onto the edge of the disc. The clay has a mass of 0.5 kg. What is the new rotational speed (in rotations per minute) of the disc once the clay has landed?

You are looking down on a disc that is spinning counterclockwise in the xy plane (positive z points out of the page towards you). The mass of the disc is 0.5 kg and it has a radius of 0.1 meters. The disc has an initial angular speed of 45 rotations per minute. Suddenly, you drop a small, but dense, wet glob of clay straight down onto the edge of the disc. The clay has a mass of 0.5 kg. What is the new rotational speed (in rotations per minute) of the disc once the clay has landed?

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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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

**Problem Description:**

You are looking down on a disc that is spinning counterclockwise in the xy plane (positive z points out of the page towards you). The mass of the disc is 0.5 kg and it has a radius of 0.1 meters. The disc has an initial angular speed of 45 rotations per minute. Suddenly, you drop a small, but dense, wet glob of clay straight down onto the edge of the disc. The clay has a mass of 0.5 kg.

**Question:**

What is the new rotational speed (in rotations per minute) of the disc once the clay has landed?

**Diagram Explanation:**

The diagram shows a circle representing the disc as viewed from above. The disc is located in the xy plane with a central point at the origin. The positive z-axis points out perpendicularly from the plane. A small dot on the circumference of the circle indicates where the clay lands on the edge of the disc. The x and y axes are marked, with the circle centered at the origin (0,0).

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