Question

An oscillating particle has the equation x = 10cos(8πt +π ) (x in cm, t in s). The number of times the object passes through the equilibrium position in one second is

Answer 1

x = A sin (wt + theta) where w = angular frequency - basic SHM equation

w = 8 pi = 2 pi f

f = 4 basic frequency

N = 8 number of times thru origin

Each cycle the particle will pass thru the origin +x and -x twice