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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 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.
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.