Find the sum of two harmonic motions of equal amplitude but of slightly different frequencies. Discuss the beating phenomena that result from this sum.
A mass is subjected to two harmonic motions given by y1(t) = Y cos w1*t and y2(t) = Y cos w2*t in which Y = 0.40", w1 = 25 rad/s and w2 = 26.25 rad/s.
a. Plot the resulting motion of the mass(you may use any software available to you);
b. Determine the beat frequency.
c. Solve the same problem when Y=10mm while all other information remains unchanged.