PLEASE HELP ..the displacement of the oscillating spring is described by x= A co

Question

PLEASE HELP ..the displacement of the oscillating spring is described by x= A cos(wt).?
find the displacement of x for times from 0 to 10 seconds when the maximum displacement A is 4 cm and the angular frequency(w) is .6 rad/sec.

Explanation / Answer

given max displacement is = 4 cms so A = 4cms as max of(A*cos(wt)) = A = 4 and given w= 0.6 rad/sec so equation of spring is X=4*cos((0.6)*t) remember here wt is in radians while calculating cos(angle) at t=0----> X = 4*cos(0) = 4 at t=1----> X = 4*cos(0.6) = 3.30134246 at t=2----> X = 4*cos(1.2) = 1.44943102 at t=3----> X = 4*cos(1.8) = -0.908808379 at t=4----> X = 4*cos(2.4) = -2.94957486 at t=5----> X = 4*cos(3.0) = -3.95996999 at t=6----> X = 4*cos(3.6) = -3.58703367 at t=7----> X = 4*cos(4.2) = -1.96104329 at t=8----> X = 4*cos(4.8) = 0.349995934 at t=9----> X = 4*cos(5.4) = 2.5387715 at t=10----> X = 4*cos(6) = 3.84068115

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