Oscillations
A pendulum's motion is affected by air resistance, causing it to gradually slow down. How would you analyze a graph of potential energy vs. displacement to determine the energy lost due to friction?
What fundamental principle ensures that the total mechanical energy in Simple Harmonic Motion (SHM) remains constant in the absence of external forces?
In a simple harmonic oscillator, at what point in the oscillation does the mass have its maximum kinetic energy?
A block oscillates on a spring. Over one complete cycle, some energy is lost to friction. How is the block's maximum kinetic energy related to the spring constant () and amplitude (), and how would you calculate the energy lost to friction?
Consider a damped harmonic oscillator where the damping force is proportional to the velocity of the oscillator. How would you express the total energy of the system, considering the effect of the damping force?
A spring with a spring constant of 100 N/m is stretched by 0.2 m. What is the maximum potential energy stored in the spring?
A mass-spring system's amplitude is doubled. How do the maximum potential energy and total energy change, and what is the mathematical relationship?
How are we doing?
Give us your feedback and let us know how we can improve
In a simple harmonic oscillator, at which point is the potential energy typically at its minimum?
A simple harmonic oscillator has a kinetic energy of 5 J and a potential energy of 3 J at a certain point in its oscillation. What is the total energy of the oscillator?
A mass-spring system oscillates with a total energy of 10 J. At a certain point, its potential energy is 6 J. Assuming no external forces, what is the kinetic energy of the system at that point?