A cat dozes on a stationary merry-go-round, at a radius of...

Name: Problem 41, Chapter 6: Principles of Physics
Uploaded: 2022-03-19T12:21:18-08:00
Duration: 4 min 7 s
Channel: Sandeep Kumar Dhania
Description: A cat dozes on a stationary merry-go-round, at a radius of 6.0 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.0 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?

A cat dozes on a stationary merry-go-round, at a radius of 6.0 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.0 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?

A cat dozes on a stationary merry-go-round, at a radius of 6.0
m from the center of the ride. Then the operator turns on the ride
and brings it up to its proper turning rate of one complete rotation
every 6.0 s. What is the least coefficient of static friction between
the cat and the merry-go-round that will allow the cat to stay in
place, without sliding?

Key Concepts

Angular Velocity and Period

Angular velocity is a measure of how fast an object rotates or revolves relative to a central point, and it is inversely related to the period, which is the time taken for one complete rotation. Converting between these quantities is essential in problems involving circular motion, as it allows determination of the centripetal acceleration from known rotational periods.

Centripetal Force

Centripetal force is the net force required to keep an object moving in a circular path. It is directed inward, towards the center of the circle, and is necessary to provide the centripetal acceleration that keeps the object in circular motion. In scenarios where no other inward force is present, static friction must supply this centripetal force.

Uniform Circular Motion

Uniform circular motion refers to the motion of an object traveling at a constant speed along a circular path. Despite the constant speed, the object experiences acceleration because its direction continuously changes. This acceleration, known as centripetal acceleration, is directed toward the center of the circle.

Static Friction

Static friction is the force that resists the initiation of sliding motion between two contacting surfaces. In the context of circular motion, it acts as the restricting force that prevents an object from sliding outward when a centripetal force is required to keep it moving in a circular path.

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