What is the effect of increasing the damping coefficient on the amplitude of osc
Practice Questions
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
Questions & Step-by-Step Solutions
What is the effect of increasing the damping coefficient on the amplitude of oscillation in a damped oscillator?
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.
