# 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