Oscillations in AP Physics C: Mechanics

What is the defining characteristic of Simple Harmonic Motion (SHM)?

Which of the following scenarios best describes Simple Harmonic Motion (SHM)?

In the equation $x(t) = A \cos(ωt + φ)$ for SHM, what does 'A' represent?

A particle's position is described by $x(t) = 0.5 \cos(2t + \frac{\pi}{2})$ meters. What is the particle's position and velocity at $t = 0$?

A mass of 2 kg is attached to a spring with a spring constant of 50 N/m. What is the period of oscillation of the mass-spring system?

If the mass of a mass-spring system is doubled, how does the period of oscillation change?

A 4 kg mass is attached to a spring with spring constant 100 N/m. The mass is released from rest at a displacement of 0.1 m from equilibrium. What is the velocity of the mass when it passes through the equilibrium position?

A simple pendulum has a length of 1 meter. What is its period of oscillation on Earth, where g = 9.8 m/s²?

If the length of a simple pendulum is quadrupled, how does the period change?

In a mass-spring system undergoing SHM, when is the kinetic energy at its maximum?