True, but that does not rule out any of the graphs. There is no claim that the graph represents an entire cycle. There is a better reason for choosing 5. What would the graph of velocity actually look like?Physics-Tutor said:
Can you write an equation relating velocity and x?RoboNerd said:
Good. Can you recognise that form as a common shape? (Think of v as the y coordinate.)RoboNerd said:
Simple harmonic motion is a type of periodic motion in which an object moves back and forth in a regular pattern. It is characterized by a restoring force that is proportional to the displacement of the object from its equilibrium position.
Simple harmonic motion is typically represented on a graph by plotting the displacement of the object on the y-axis and time on the x-axis. This results in a sinusoidal curve known as a sine wave.
The equation for simple harmonic motion is x(t) = A sin(ωt + φ), where x is the displacement of the object, A is the amplitude, ω is the angular frequency, and φ is the phase angle.
The period of simple harmonic motion is the time it takes for one complete oscillation, while the frequency is the number of oscillations per unit time. The relationship between the two is T = 1/f, where T is the period and f is the frequency.
The amplitude of simple harmonic motion determines the maximum displacement of the object from its equilibrium position. A larger amplitude results in a wider oscillation, while a smaller amplitude results in a narrower oscillation.