Oscillations

A spring with spring constant $k$ is compressed a distance $x$ from its equilibrium position. If the displacement is doubled to $2x$, how does the restoring force change?

A 0.2 kg block attached to a spring oscillates with an amplitude of 0.1 m. If the spring constant is 100 N/m, what is the total energy of the system?

A block of mass $m$ is attached to a spring with spring constant $k$. The system oscillates with amplitude $A$. At what displacement from equilibrium is the potential energy equal to the kinetic energy?

What is the relationship between frequency ($f$) and period ($T$) in simple harmonic motion?

A restoring force in SHM:

What is the net force and acceleration at the equilibrium position in SHM?

A 2 kg mass is attached to a spring with a spring constant of 50 N/m. If the displacement is 0.5 m, what is the acceleration of the mass?

A block attached to a spring is displaced from its equilibrium position and released. How does the restoring force relate to the block's motion as it returns towards the equilibrium position?

A mass-spring system oscillates horizontally. Which of the following statements correctly describes the energy transformations during one complete cycle?

A spring with a spring constant of $200 N/m$ is stretched by $0.2 m$. What is the magnitude of the restoring force?