$1.$ Describe why it is necessary that the conically shaped spring is hung with the smaller end at the top. Why is a cylindrically shaped spring not being used in this experiment?$2.$ During simple harmonic oscillation, is the acceleration of a simple harmonic oscillator equal to zero at some point? If so$,$ where in the oscillation would this be located?$3.$ A mass, attached to the bottom of a vertically hung spring, stretches the spring by $30$ centimeters to a new static equilibrium position. When set into oscillation what is the period of oscillation? $($Let mc $=0)4.$ For a simple harmonic oscillator the kinetic energy is equal to $(1)/(2)$ mv$2,$ and the potential energy is equal to $(1)/(2)$ kx$2.$ When the displacement is equal to one$-$half the amplitude of oscillation, what fraction of the total energy is kinetic and what fraction of the total energy is potential?