Question

Consider a horizontal spinning disc of radius r=7.7 m. A ball of mass m=2.63 kg and negligible size is attached.

a) Calculate the angular momentum of the system
b) Determine the disc's moment of inertia
c) Find the linear velocity of the ball
d) All of the above

Answer 1

The answer is d) All of the above.

Step-by-step explanation:

To answer the given question, let's break down each part:

a) To calculate the angular momentum of the system, we can use the formula L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. Since the ball is attached to the spinning disc, the angular momentum of the system is equal to the angular momentum of the ball. Therefore, L = Iballωball.

b) The moment of inertia of the disc can be calculated using the formula I = 0.5mr2, where I is the moment of inertia, m is the mass of the disc, and r is the radius of the disc.

c) The linear velocity of the ball can be calculated using the formula v = ωr, where v is the linear velocity, ω is the angular velocity, and r is the radius of the disc.