Question

An initial amplitude k, damping constant c, and frequency f or period p are given. (Recall that frequency and period are related by the equation f=1 / p.) k=2, c=1.5, f=3 Graph the function.

Answer 1

The graph of a damped harmonic oscillator can be plotted using the given values of amplitude, damping constant, and frequency.

Step-by-step explanation:

In a damped harmonic oscillator, the amplitude of the oscillations decreases over time due to the damping force. The equation for a damped harmonic oscillator is given by: y(t) = A * exp(-c*t/(2m)) * cos(ωt + φ), where A is the initial amplitude, c is the damping constant, t is time, m is the mass, ω is the angular frequency, and φ is the phase angle.

In this case, the initial amplitude (k) is 2, the damping constant (c) is 1.5, and the frequency (f) is 3. To graph the function, you can use a graphing calculator or software. Plot the values of y(t) at different time intervals to visualize the decreasing amplitude over time.