Final answer:
To find the coefficient of static friction between the particle and the CD, calculate the tangential speed of a point on the CD, determine the centripetal acceleration, find the centripetal force, equate it to the gravitational force, solve for the static friction force, and divide by the normal force to obtain the coefficient of static friction.
Step-by-step explanation:
To find the coefficient of static friction between the particle and the surface of the CD, we can use the concept of centripetal force. The centripetal force acting on the particle is provided by the static friction force between the particle and the CD.
We can start by finding the tangential speed of a point on the edge of the CD using the given rotation rate. The tangential speed can be calculated using the formula: tangential speed = (2πr) × (revolutions per minute/60), where r is the radius of the CD (diameter/2). With the tangential speed, we can determine the centripetal acceleration using the formula: centripetal acceleration = tangential speed^2 / r. Finally, we can find the centripetal force by multiplying the centripetal acceleration by the mass of the particle (assuming it to be 1 g).
Next, we can calculate the gravitational force acting on the particle based on its distance from the center of the CD. Using Newton's second law, we can equate the centripetal force to the gravitational force and solve for the static friction force. Finally, we can divide the static friction force by the normal force (equal to the gravitational force) to obtain the coefficient of static friction.
Using these calculations, the coefficient of static friction between the particle and the surface of the CD is 0.14 (option a).