AP Physics 1 Flashcards: Defining Simple Harmonic Motion Shm

What this deck covers

This deck focuses on Defining Simple Harmonic Motion Shm, giving you a quick way to review the definitions, rules, and examples that matter most for AP Physics 1.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Identify the restoring force in a mass-spring system.

Answer: $F = -kx$. Hooke's Law shows force proportional to displacement with spring constant.

Flashcard 2: What is the formula for the period of a simple pendulum?

Answer: $T = 2\pi \sqrt{\frac{L}{g}}$. Period depends only on length and gravitational acceleration.

Flashcard 3: Identify the energy forms present in SHM.

Answer: Kinetic energy and potential energy. Energy continuously transforms between these two forms during oscillation.

Flashcard 4: What is the unit of angular frequency $\omega$?

Answer: Radians per second (rad/s). This measures how fast the phase angle changes over time.

Flashcard 5: What is the frequency unit in SHM?

Answer: Hertz (Hz). Named after Heinrich Hertz, it represents cycles per second.

Flashcard 6: How is the natural frequency of a mass-spring system defined?

Answer: $f_0 = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$. This is the frequency at which the system naturally oscillates.

Flashcard 7: How does damping affect SHM?

Answer: It reduces the amplitude and can eventually stop the motion. Energy is gradually lost to friction and other dissipative forces.

Flashcard 8: State the relationship between period and angular frequency.

Answer: $T = \frac{2\pi}{\omega}$. These quantities are inversely proportional to each other.

Flashcard 9: What role does gravity play in a simple pendulum's motion?

Answer: Gravity acts as the restoring force. The component of weight provides the restoring force for pendulums.

Flashcard 10: What is the effect of increasing the length $L$ of a pendulum on its period?

Answer: The period increases. Longer pendulums oscillate more slowly due to increased inertia.

Flashcard 11: What is the kinetic energy formula in SHM?

Answer: $K = \frac{1}{2}mv^2$. Kinetic energy is maximum when passing through equilibrium position.

Flashcard 12: Identify the energy forms present in SHM.

Answer: Kinetic energy and potential energy. Energy continuously transforms between these two forms during oscillation.

Flashcard 13: What is the condition for SHM to occur?

Answer: The restoring force must be proportional to displacement. This linear relationship creates the characteristic sinusoidal motion pattern.

Flashcard 14: State the equilibrium position in SHM.

Answer: The equilibrium position is where the net force is zero. At this point, the object experiences no acceleration.

Flashcard 15: How does mass affect the period of a mass-spring system?

Answer: The period increases with mass. Heavier masses oscillate more slowly due to greater inertia.

Flashcard 16: What happens to SHM's period if spring constant $k$ increases?

Answer: The period decreases. Stiffer springs cause faster oscillations with shorter periods.

Flashcard 17: Define damping in the context of SHM.

Answer: Damping is the reduction of amplitude over time. Friction and air resistance cause energy loss over time.

Flashcard 18: What is the significance of the phase constant $\phi$ in SHM?

Answer: Determines the initial angle at $t=0$. It shifts the entire motion pattern in time.

Flashcard 19: What is the phase constant in SHM?

Answer: The phase constant determines the initial position and direction. It sets the starting conditions at time zero.

Flashcard 20: What is the formula for the period of a simple pendulum?

Answer: $T = 2\pi \sqrt{\frac{L}{g}}$. Period depends only on length and gravitational acceleration.

Flashcard 21: State Hooke's Law.

Answer: Hooke's Law: $F = -kx$. This is the fundamental equation describing elastic force behavior.

Flashcard 22: Write the equation for displacement in SHM.

Answer: $x(t) = A\cos(\omega t + \phi)$. This cosine function describes position as a function of time.

Flashcard 23: What is the angular frequency formula in SHM?

Answer: $\omega = \sqrt{\frac{k}{m}}$. This relates the system's physical properties to oscillation rate.

Flashcard 24: Define the term 'frequency' in SHM.

Answer: Frequency is the number of oscillations per unit time. It measures how many complete cycles occur in one second.

Flashcard 25: What determines the period of a simple pendulum?

Answer: The length of the pendulum and gravity. Mass of the pendulum does not affect the period.

Flashcard 26: Identify the phase of an object at maximum displacement in SHM.

Answer: $\omega t + \phi = 0 \text{ or } \pi$. At these phases, velocity is zero and displacement is maximum.

Flashcard 27: Describe the motion of an object in SHM.

Answer: The object moves back and forth about an equilibrium position. This repetitive motion is the defining characteristic of SHM.

Flashcard 28: How does potential energy vary in SHM?

Answer: $U = \frac{1}{2}kx^2$. Potential energy is maximum at maximum displacement positions.

Flashcard 29: What is the total mechanical energy in SHM?

Answer: $E = \frac{1}{2}kA^2$. Total energy is conserved and proportional to amplitude squared.

Flashcard 30: State the formula for acceleration in SHM.

Answer: $a(t) = -A\omega^2\cos(\omega t + \phi)$. Acceleration is the time derivative of velocity in SHM.