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.
What happens to velocity at maximum displacement in SHM?
Velocity is zero.
What happens to acceleration at equilibrium in SHM?
Acceleration is zero.
What happens to velocity at equilibrium in SHM?
Velocity is at its maximum.
What is the effect of doubling the mass in a mass-spring system on the period?
The period is multiplied by .
What is the effect of increasing the length of a simple pendulum on the period?
The period increases.
What happens when displacement passes through equilibrium?
Velocity reaches its maximum, and acceleration momentarily becomes zero.
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.