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What happens when displacement (x) increases in a spring?

The potential energy (U) stored in the spring increases quadratically: $U = \frac{1}{2}kx^2$ .

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What happens when displacement (x) increases in a spring?

The potential energy (U) stored in the spring increases quadratically: $U = \frac{1}{2}kx^2$ .

What happens at the equilibrium position in SHM?

Kinetic energy is maximum, potential energy is minimum.

What happens at maximum displacement in SHM?

Kinetic energy is minimum (zero), potential energy is maximum.

What happens when the mass in a mass-spring system is doubled?

The period of oscillation increases by a factor of $\sqrt{2}$ .

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

Use the formula: $T = 2\pi\sqrt{\frac{m}{k}}$ 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: $E_{total} = K + U$ .

What is the difference between Kinetic Energy (K) and Potential Energy (U) in SHM?

Kinetic Energy (K): Energy of motion, maximum at equilibrium. Potential Energy (U): Stored energy, maximum at maximum displacement.

What is the difference between period and frequency?

Period: Time for one cycle. Frequency: Number of cycles per second. They are inversely related.