BiGyElLoWhAt said:Hey kate, weclome to PF.
We would love to help you with this, but, unfortunately, you seem to have forgotten provide your attempt at the solution!
Let's start with part A. What do you know about the total energy at anypoint in it's motion?
BiGyElLoWhAt said:What kind of energies does the block have at the observed location?
And that's no problem, that's why I was gentle :P
That represnets Total Energy which is the kinetic energy added to the potential energy?BiGyElLoWhAt said:Is that the only kind? I believe it is attached to a spring, right? What's that 1/2 k A^2 equation represent that you tried using?
Simple harmonic motion is a type of repetitive motion in which an object oscillates back and forth around an equilibrium point. It is characterized by a restoring force that is directly proportional to the displacement from the equilibrium point, and the object moves with a constant frequency and amplitude.
The equation for simple harmonic motion is x = A*sin(ωt + φ), where x is the displacement from equilibrium, A is the amplitude, ω is the angular frequency, and φ is the phase angle.
Regular oscillation refers to any type of back and forth motion, while simple harmonic motion specifically refers to a type of oscillation that follows a specific equation and is driven by a restoring force. Simple harmonic motion is also characterized by a constant frequency and amplitude, while regular oscillation may have varying frequencies and amplitudes.
Some real-life examples of simple harmonic motion include the motion of a pendulum, the motion of a mass on a spring, and the vibrations of a guitar string. Other examples include the motion of a swing, the motion of a tuning fork, and the motion of a bouncing ball.
The amplitude of simple harmonic motion is the maximum displacement of the object from its equilibrium point. As the amplitude increases, the object will oscillate with a larger range of motion and will take longer to complete each cycle. The amplitude does not affect the frequency or the period of the motion, but it does affect the maximum velocity and acceleration of the object.