Answer to Question #189032 in Physics for Fardushi

Question

1. A 2.0 kg particle moves as a function of time as follows:

             x = 3.5 sin (1.5t+π/2)

Where, distance is measured in meters and time in seconds.

(a) What is the amplitude, frequency, angular frequency, and period of this motion?

(b) What is the equation of the velocity of this particle?

(c) What is the equation of the acceleration of this particle?

(d) What is the spring constant?

2. What are the equations for the potential and kinetic energies of the particle in Question #1? What is the mechanical energy?

3. Prove that the following two equations represent the simple harmonic motion-

i. X = A cosωt + B sinωt

ii. X = A eiωt

Answer 1

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