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What is Period (T)?

Time for one full cycle in Simple Harmonic Motion.

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What is Period (T)?

Time for one full cycle in Simple Harmonic Motion.

What is Amplitude?

Maximum displacement from the equilibrium position.

What is Frequency (f)?

Cycles per second.

What is the Equilibrium Point?

The resting position of an object in SHM.

What is Kinetic Energy (K)?

Energy of motion, given by K=12mv2K = \frac{1}{2}mv^2.

What is Potential Energy (U)?

Stored energy, either gravitational or spring potential energy. For a spring: U=12kx2U = \frac{1}{2}kx^2.

What is a Simple Harmonic Oscillator (SHO)?

An object that moves back and forth with a consistent rhythm, following Hooke's Law.

What is Hooke's Law?

The restoring force in SHM is proportional to the displacement from the equilibrium position: F = -kx.

What is the effect of doubling the mass (m) on the period (T) of a mass-spring system?

The period increases by a factor of (sqrt{2}).

What is the effect of doubling the displacement (x) on the potential energy (U) of a spring?

The potential energy is quadrupled.

What happens to kinetic energy as an object in SHM approaches its equilibrium position?

Kinetic energy increases, reaching its maximum at the equilibrium position.

What happens to potential energy as an object in SHM reaches maximum displacement?

Potential energy is at its maximum value.

How to calculate the period (T) of a mass-spring system?

Use the formula: T=2πmkT = 2\pi\sqrt{\frac{m}{k}} where m is mass and k is the spring constant.

How does energy transform in SHM?

Energy constantly shifts between kinetic energy (K) and potential energy (U), while the total energy remains constant (assuming no friction).

How to calculate the total energy of a SHO?

The total energy is the sum of kinetic and potential energy: Etotal=K+UE_{total} = K + U.