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Welcome to PF.tahmidbro said:
I have used a derivative to calculate the velocity at that point, and also get a much smaller number than the answer key. If the amplitude is 3cm and the period is 8 seconds, the peak velocity is much less than the 6m/s that is listed as the answer.tahmidbro said:
Yes, good. Differentiating that cos() function does give that derivative.tahmidbro said:
Okay , Thanks for the help!berkeman said:
Simple harmonic motion is a type of periodic motion in which the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction of the displacement. This results in a sinusoidal or oscillatory motion.
The period of a simple harmonic motion can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant.
The frequency of a simple harmonic motion is the number of oscillations per unit time, while the period is the time it takes for one complete oscillation. The relationship between frequency and period is inverse, meaning that as the frequency increases, the period decreases, and vice versa.
The amplitude of a simple harmonic motion is the maximum displacement from equilibrium. The amplitude affects the motion by determining the maximum potential energy and the maximum velocity of the object. A larger amplitude will result in a greater maximum potential energy and a higher maximum velocity.
In simple harmonic motion, there is no external force acting on the system, resulting in a constant amplitude and frequency. In damped harmonic motion, there is an external force, such as friction, that causes the amplitude and frequency to decrease over time, eventually leading to the system coming to rest at equilibrium.
