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?

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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.