Does the period depend on amplitude explain?

The period does not depend on the Amplitude. The period depends on k and the mass. The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.Click to see full answer. Similarly, you may…

The period does not depend on the Amplitude. The period depends on k and the mass. The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.Click to see full answer. Similarly, you may ask, does the period of simple harmonic motion depend on amplitude?A very important property of simple harmonic motion is that the period T does not depend on the amplitude of the motion, A. which is exactly the same as eq’n (2) except we have changed the name of the position coordinate from x to y.Subsequently, question is, why is the period the same no matter the amplitude? The two effects cancel each other out (at least if the amplitude of vibration isn’t too large). The short answer is that a periodic function still has the same period if you scale it, so a linear differential equation with solutions of a given period has such solutions at any amplitude. Similarly, it is asked, what is the relationship between amplitude and period? Simple harmonic motion can be expressed as any location (in our case, the x location) as a function of time, with the following two elements: Amplitude: The distance from the center of motion to either extreme. Period: The amount of time it takes for one complete cycle of motion.Why doesnt mass and amplitude affect the period of a pendulum?As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. Mass does not affect the period of the pendulum only the length of the string and the angle of amplitude of the pendulum. Therefore, the mass does not affect the period of the pendulum.

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