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elemis
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Homework Statement
Part (iv)
The Attempt at a Solution
My attempt is below. Is it correct ?
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.
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.
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.
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.
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.