03MGCobra said:I am having a hard time solving for k in the equation
T =
2 x pi sq. rt. (m/k)
I know this is simple algebra but its keeping me from solving this.
03MGCobra said:the sq rt goes away on the side with 2 x pi (m/k) and then T^2. so T^2 = 2pi x (m/k) now can be simplified into k = (2pi x m) / T^2?
03MGCobra said:T^2 = 2pi^2 x (m/k) then k = 2pi ^2 x m/ T^2
03MGCobra said:k =((2pi)^2 x m)/T^2
Simple Harmonic Motion (SHM) is a type of periodic motion where a system oscillates back and forth around an equilibrium position with a constant amplitude and a constant period. It is a common phenomenon observed in many physical systems, such as pendulums, springs, and vibrating strings.
The period of a simple harmonic motion can be calculated using the formula T = 2π√(m/k), where T is the period in seconds, m is the mass of the object in kilograms, and k is the spring constant in Newtons per meter.
The frequency (f) of a simple harmonic motion is inversely proportional to its period (T). This means that as the frequency increases, the period decreases, and vice versa. This relationship is expressed by the formula f = 1/T.
The amplitude of a simple harmonic motion is the maximum displacement of the system from its equilibrium position. It can be determined by measuring the distance between the equilibrium position and the maximum displacement of the object.
Damping is the process of reducing the amplitude of a simple harmonic motion over time. It is caused by external factors such as friction or air resistance. Damping can affect the period and amplitude of a simple harmonic motion, and in some cases, it can cause the motion to stop completely.