1. A mass is attached to the end of a spring and set into simple harmonic…

1. A mass is attached to the
end of a spring and set into simple harmonic motion with an
amplitude A on a horizontal frictionless surface. Determine the
following in terms of only the variable A. (a) Determine the
magnitude of the position (in terms of A) of the oscillating mass
when its speed is 40% of its maximum value. (b) Determine the
magnitude of the position (in terms of A) of the oscillating mass
when the elastic potential energy of the spring is 40% of the total
energy of the oscillating system.
-A | +A 0