The displacement of a particle performing simple harmonic motion is given by, x = 8 sin ot + 6 cos ot, where distance is in cm and time is in second. The amplitude of motion is o

(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)   (b)Write an equation that represents the curve in the form

A mass weighing 2lb stretches a spring 6in. If the mass is pulled down an additional 3in and then released, and if there is no air resistance, find the natural frequency, period and amplitude of the motion. O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R ft Natural frequency w = = 4 rad/sec, Period T = sec, Amplitude R ft O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R = ft 1 O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R = ft 8

A= 3.4cm.Determime the meEChamical Chcrgy 5. When a mass of m = 304 g is attached to a spring and the mass-spring system is set into oscillatory motion, the period of the motion is T = 0.467 s. Determine the amplitude (in meter) of the oscillation, if the total energy of the oscillating system is 0.163 J. Ans: 0.077 %3D 280 N/m and set into