Question

If the ball bearing has mass m , find N(t) , the magnitude of the normal force exerted by the speaker cone on the ball bearing as a function of time. Your result should be in terms of A

, either f
(or ω
), m
, g
, a phase angle ϕ
, and the constant π
.

Answer 1

The magnitude of the normal force exerted by the speaker cone on the ball bearing can be found using the equation N = mg - ma *sin(ω*t + ϕ). Simplified to N(t) = mg - ma *sin(ω*t).

Step-by-step explanation:

The magnitude of the normal force exerted by the speaker cone on the ball bearing can be found using the equation N = mg - ma *sin(ω*t + ϕ), where N is the normal force, m is the mass of the ball bearing, g is the acceleration due to gravity, a is the amplitude of the speaker cone displacement, ω is the angular frequency, t is time, and ϕ is the phase angle.

Since the question asks for the normal force as a function of time, we can eliminate other variables such as the angle and amplitude. Therefore, the equation simplifies to N(t) = mg - ma *sin(ω*t).

Remember to convert units as needed to ensure consistent values for mass and acceleration due to gravity.