If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? a. The angular frequency is doubled.
b. The amplitude is doubled.
c. The period is doubled.
d. The angular frequency is reduced to one-half of what it was.
e. The period is reduced to one-half of what it was.

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants