What is the effect of increasing the damping coefficient on the amplitude of oscillation in a damped oscillator?
Practice Questions
1 question
Q1
What is the effect of increasing the damping coefficient on the amplitude of oscillation in a damped oscillator?
Increases amplitude
Decreases amplitude
No effect
Doubles amplitude
Increasing the damping coefficient decreases the amplitude of oscillation in a damped oscillator.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the damping coefficient on the amplitude of oscillation in a damped oscillator?
Solution: Increasing the damping coefficient decreases the amplitude of oscillation in a damped oscillator.
Steps: 5
Step 1: Understand what a damped oscillator is. A damped oscillator is a system that oscillates (moves back and forth) but loses energy over time due to damping forces like friction.
Step 2: Know what the damping coefficient is. The damping coefficient is a number that measures how much damping is present in the system. A higher damping coefficient means more energy is lost.
Step 3: Recognize the relationship between damping and amplitude. The amplitude of oscillation is how far the system moves from its rest position. In a damped oscillator, the amplitude decreases over time.
Step 4: Realize that increasing the damping coefficient means more energy is lost more quickly. This causes the oscillations to become smaller faster.
Step 5: Conclude that as the damping coefficient increases, the amplitude of oscillation decreases. This means the system will not move as far from its rest position.
