Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. It is characterized by a sinusoidal pattern and is often seen in systems such as a mass attached to a spring or a pendulum.
The period of a simple harmonic motion can be calculated using the equation T = 2π√(m/k), where T is the period in seconds, m is the mass in kilograms, and k is the spring constant in Newtons per meter.
The frequency of a simple harmonic motion is inversely proportional to the period. This means that as the frequency increases, the period decreases, and vice versa. The equation for this relationship is f = 1/T, where f is the frequency in hertz and T is the period in seconds.
The amplitude of a simple harmonic motion is directly proportional to the energy of the system. This means that as the amplitude increases, so does the energy. However, the period and frequency remain unchanged. Additionally, as the energy of the system increases, the amplitude also increases.
Yes, displacement in simple harmonic motion can be both positive and negative. A positive displacement indicates that the object is on one side of the equilibrium point, while a negative displacement indicates that the object is on the other side of the equilibrium point. The magnitude of the displacement remains the same, regardless of its direction.