Oscillations

Which of the following is a characteristic of simple harmonic motion (SHM)?

A spring with a spring constant $k = 200 , N/m$ is stretched by $0.2 , m$ from its equilibrium position. What is the restoring force exerted by the spring?

A spring exerts a restoring force of $50 , N$ when stretched by $0.25 , m$. What is the spring constant of the spring?

Two identical springs are connected in series. A block is attached to the end of the combined spring system. If each spring has a spring constant $k$, what is the effective spring constant of the series combination?

In simple harmonic motion, what is true about the object's velocity and acceleration at the equilibrium position?

Under what condition does the motion of a pendulum approximate simple harmonic motion (SHM)?

A pendulum has a length $L$ and is undergoing SHM. If the length of the pendulum is quadrupled (made 4 times longer), what happens to the period of the motion?

A pendulum is released from a large angle (e.g., 45 degrees). Which of the following is true regarding its motion?

In simple harmonic motion, when is the potential energy at its maximum?

A mass-spring system oscillates with SHM. If the total energy of the system is $10 , J$, and at a certain point, the potential energy is $6 , J$, what is the kinetic energy at that point?