All Flashcards
What is the effect of applying an external force at the natural frequency of a system?
Resonance occurs, leading to a dramatic increase in the amplitude of oscillation.
What is the effect of increasing the spring constant (k) on the period of oscillation?
The period of oscillation decreases.
What is the effect of increasing the mass (m) on the period of oscillation?
The period of oscillation increases.
How do you determine acceleration from the position equation x = A cos(ωt + φ)?
- Recognize that a = -ω²x. 2. Substitute the position equation into the acceleration equation: a = -ω² * A cos(ωt + φ).
How do you find the maximum velocity in SHM, given the amplitude (A) and angular frequency (ω)?
- Recall the formula: v_max = Aω. 2. Substitute the values of A and ω into the formula. 3. Calculate the result to find the maximum velocity.
How do you find the maximum acceleration in SHM, given the amplitude (A) and angular frequency (ω)?
- Recall the formula: a_max = Aω². 2. Substitute the values of A and ω into the formula. 3. Calculate the result to find the maximum acceleration.
What are the key differences between displacement and velocity in SHM?
Displacement: Position of the object from equilibrium. Velocity: Rate of change of displacement; has a π/2 phase shift relative to displacement.
What are the key differences between velocity and acceleration in SHM?
Velocity: Rate of change of displacement. Acceleration: Rate of change of velocity; 180° out of phase with displacement.
How do Amplitude and Period differ in SHM?
Amplitude: Maximum displacement from equilibrium. Period: Time for one full oscillation; independent of amplitude in SHM.