It is a type of motion where an object's speed is proportional to the square of the displacement.
A type of motion where frequency remains constant despite external forces.
It is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
A movement neither periodic nor harmonic, characterized by non-linear motion.
A simple theoretical model consisting of a mass attached to a string or rod, with forces of gravity and tension acting on the mass.
A pendulum with a variable mass and length to alter its period during oscillation.
An experimental setup to study complex motion in hover states.
A graphical representation of pendulum motion with mathematical functions.
T = 2π√(g/L)
T = 2π√(L/g)
T = 2π√(m/k)
T = 4π√(m/g)
Increasing amplitude always decreases the period during oscillations.
For small amplitudes, it does not affect the period significantly, but larger amplitudes cause deviations.
Higher amplitudes result in smaller periods regardless of length or mass.
Amplitude and period are directly proportional for all angles.
Amplitude and gravitational force with rigid support.
Only the amplitude of oscillation.
The mass attached to the spring and the spring constant, not the amplitude of oscillation.
Only the length of the spring.
The rule that states force is independent of displacement in elastic materials.
Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position, F = -kx.
The concept that potential energy in a spring system is inversely proportional to temperature variations.
A principle describing the tensile strength of materials under constant force applications.
The spring constant is a measure of a spring's stiffness, indicating how much force is needed to stretch or compress the spring by a unit length.
The constant that defines the speed at which a spring returns to its original shape.
A term that describes the length of compression required to reach a critical threshold.
A factor that only applies to metallic springs under electrical charge.
T = 2π√(L/g)
T = 4π√(m/g)
T = 2π√(m/k)
T = 2π(k/m)
Using the equation F = mv^2/r for circular motion.
By integrating the kinetic and potential energy across the system.
F = -kx for a spring pendulum or F = -mg sin(θ) for a small angle in a mathematical pendulum.
F = kx cos(θ) for oscillating systems independent of mass.
Gravity negates any motion imparted by lateral forces applied to the pendulum.
Gravity acts as the restoring force, pulling the pendulum back towards its equilibrium position.
Gravity is irrelevant in pendulum motion after initial displacement.
Gravity holds the pendulum in oscillation without affecting its period.
The equilibrium position is where the net force on the pendulum is zero, typically hanging directly downward.
The maximum amplitude point during oscillation cycles.
Any position where the pendulum appears stationary at extreme angles.
A theoretical position where time ceases to advance.
Damped oscillations occur in a vacuum, while undamped happen in the atmosphere.
Undamped oscillations maintain constant amplitude over time, while damped oscillations experience amplitude reduction due to energy loss.
Damped oscillations increase in amplitude over time due to external energy enforced.
Undamped oscillations occur only in artificial settings, whereas natural ones always damp.
Forced frequency is the frequency at which an object naturally oscillates without external interference.
There is no difference; both terms describe the innate oscillatory behavior of objects.
Natural frequency depends solely on external forces, while forced frequency is inherent to the system.
Natural frequency is the frequency at which a system oscillates without disturbance, while forced frequency is when influenced by an external force.
Changing the length of a pendulum only affects the amplitude, not the period.
Altering the length has no impact on the pendulum's swing period.
Increasing the length increases the period, causing slower swings; shortening the length decreases the period, increasing speed.
The period is halved if the length is doubled under consistent angle conditions.
At large angles, gravitational and frictional forces contribute equally to motion stability.
At small angles, sin(θ) ≈ θ allowing the restoring force to be proportional to displacement.
Because large angles result in zero net force affecting motion.
They only mimic simple harmonic behavior in high friction environments.