Check your textbook for the relationship between frequency, mass, and spring constant.Ch3m_ said:I have no idea how to calculate ω since it doesn't give you the frequency ƒ ?
Simple Harmonic Motion (SHM) is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium and is always directed towards the equilibrium position. This results in a sinusoidal motion.
The Periodic Time for Simple Harmonic Motion with a Spring is calculated using the formula T = 2π√(m/k), where T is the period in seconds, m is the mass of the object attached to the spring in kilograms, and k is the spring constant in newtons per meter.
The Periodic Time in Simple Harmonic Motion is the time it takes for one complete cycle of the motion. It is an important parameter as it determines the frequency of the motion, which is directly related to the energy and amplitude of the oscillation.
As the mass increases, the Periodic Time also increases, meaning that the oscillation takes longer to complete one cycle. Similarly, as the spring constant increases, the Periodic Time decreases, resulting in a faster oscillation.
Some examples of Simple Harmonic Motion with a Spring include a weight attached to a spring, a door being opened and closed, a pendulum, and a mass-spring system in a car's suspension system.