[ANSWERED] 1. For the spring-mass system shown in Figure P16–6, determine the mass displacement, velocity, and.

1. For the spring-mass system shown in Figure P16–6,
determine the mass displacement, velocity, and acceleration for five time steps
using (a) the central difference method, (b) Newmark’s time integration method,
and (c) Wilson’s method. Let k = 1200 lb/ft and m = 2 slugs.
2. For the bar shown in Figure P16–7, determine the nodal
displacements, velocities, and accelerations for five time steps using two
finite elements. Let E = 30
10
6
psi, r =
0:00073 lb-s2/in
4
, A = 1 in
2
, and L = 100 in.