- #1
tahayassen
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Period does not depend on amplitude. Correct?
I deduced this from the equations for simple harmonic motion:
ω=2πf
ω=√(k/m)
I deduced this from the equations for simple harmonic motion:
ω=2πf
ω=√(k/m)
Simple harmonic motion is a type of periodic motion in which a body oscillates back and forth around a central equilibrium point due to a restoring force that is directly proportional to the displacement from the equilibrium point.
The period of simple harmonic motion is inversely proportional to the square root of the k coefficient of the spring. This means that as the k coefficient increases, the period decreases, and vice versa.
The mass of an object does not affect the period of simple harmonic motion. The period only depends on the k coefficient of the spring and the equilibrium position of the object.
The period of 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.
Yes, the period of simple harmonic motion can be changed by altering the k coefficient of the spring. A higher k coefficient will result in a shorter period, while a lower k coefficient will result in a longer period. The mass of the object and the amplitude of the motion can also affect the period.