Damped Simple Harmonic Motion - Finding drag constant

In summary, Damped simple harmonic motion is a type of motion in which a system oscillates back and forth with a decreasing amplitude due to the presence of a damping force. The drag constant, also known as the damping coefficient, is a measure of the strength of the damping force in a system undergoing damped simple harmonic motion. It can be calculated by measuring the amplitude of the oscillations of the system at different points in time and using this data to plot a graph. The value of the drag constant is affected by factors such as the velocity of the system, the properties of the medium through which the system is moving, and the mass of the system. Some real-life examples of damped simple harmonic motion include the movement of a car's suspension
  • #1
elemis
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Homework Statement



Part (iv)

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The Attempt at a Solution



My attempt is below. Is it correct ?

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Homework Statement

 
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Your posted attempt seems to be addressing part 4 only. How about starting with part 1? If you've done parts 1, 2 and 3 we'd like to see the results of those.
 

1. What is damped simple harmonic motion?

Damped simple harmonic motion is a type of motion in which a system oscillates back and forth with a decreasing amplitude due to the presence of a damping force. This type of motion can be observed in systems such as springs and pendulums.

2. How is the drag constant related to damped simple harmonic motion?

The drag constant, also known as the damping coefficient, is a measure of the strength of the damping force in a system undergoing damped simple harmonic motion. It determines how quickly the amplitude of the motion decreases over time.

3. How do you calculate the drag constant?

The drag constant can be calculated by measuring the amplitude of the oscillations of the system at different points in time and using this data to plot a graph. The slope of the graph will give the value of the damping coefficient.

4. What factors affect the value of the drag constant?

The value of the drag constant is affected by factors such as the velocity of the system, the properties of the medium through which the system is moving, and the mass of the system. An increase in any of these factors will result in a higher value for the damping coefficient.

5. What are some real-life examples of damped simple harmonic motion?

Some real-life examples of damped simple harmonic motion include the movement of a car's suspension system, the swinging of a pendulum in air, and the motion of a weight attached to a spring in water. In all of these cases, the presence of a damping force causes the amplitude of the motion to decrease over time.

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