3. A 885g mass to a verticle spring of force content 160N/m oscillates with a maximum velocity of .38m/s. Find (a) the period, (b) the amplitude, and (c) the maximum magnitude of acceleration.
ω=sqrt(k/m) = sqrt(160/0.885) =13.45 rad/s
x=A•sinωt
v=A•ω•cosωt
v(max) = A•ω
A= v(max)/ω =0.38/13.45 =0.028 m
a= - A•ω²•sinωt
a(max)= A•ω²=0.028•13.45²=5.065 m/s²