Frequency (f): Cycles per second (Hz). | Angular Frequency (ω): Rate of oscillation in radians per second (rad/s).

Potential Energy: Stored in the spring, maximum at max displacement. | Kinetic Energy: Energy of motion, maximum at equilibrium.

Potential Energy: Gravitational potential energy, maximum at max height. | Kinetic Energy: Energy of motion, maximum at lowest point.

Increasing the mass increases the period of oscillation.

Increasing the spring constant decreases the period of oscillation.

Increasing the length increases the period of oscillation.

Increasing gravity decreases the period of oscillation.

Resonance occurs, causing a dramatic increase in amplitude.

1. Identify the mass (m) and spring constant (k). 2. Use the formula: $T = 2π\sqrt{\frac{m}{k}}$

1. Identify the length of the pendulum (L) and the acceleration due to gravity (g). 2. Use the formula: $T = 2π\sqrt{\frac{L}{g}}$

1. Identify the spring constant (k) and amplitude (A). 2. Use the formula: $U_{max} = \frac{1}{2}kA^2$

1. Identify the mass (m) and maximum velocity (v_max). 2. Use the formula: $K_{max} = \frac{1}{2}mv_{max}^2$

1. Find either the maximum potential energy (U_max) or the maximum kinetic energy (K_max). 2. Total energy: $E = U_{max} = K_{max}$