1. The problem statement, all variables and given/known data A mass, m, is attached to a support by a spring with spring constant, k. The mass is hanging down from the spring, so there is a gravitational force on the mass as well. Neglect any resistive or frictional force. The support is then oscillated with an amplitude of A and at a frequency of ωa . a) Find the motion of the mass relative to the support. b) Find the motion of the mass relative to the lab (inertial frame). 2. Relevant equations F=ma 3. The attempt at a solution I found the motion of the mass relative to the support to be x*=-kAcos(ωt)/(mt^2)-(gt^2)/2 by integrating twice ma*=kAcos(ωt)-mg which seems reasonable. For part b, I said x=x*+Acos(ωt) so the motion of the mass relative to the lab x=Acos(ωt)(1-k/(mt^2))-(gt^2)/2. Is this valid?