The problem explicitly tells you to "ignore the actual values."Cici2017 said:
That should come about naturally from the conditions you have found out for the KE.Cici2017 said:
Simple harmonic motion is a type of periodic motion in which an object moves back and forth along a straight line with a constant frequency and amplitude. It is characterized by a restoring force that is directly proportional to the displacement of the object from its equilibrium position.
The equation for simple harmonic motion is x(t) = A cos(ωt + φ), where x(t) is the displacement of the object at time t, A is the amplitude of the motion, 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 cycle of the motion. It can be calculated using the equation T = 2π/ω, where T is the period and ω is the angular frequency.
Simple harmonic motion is a special case of periodic motion in which the restoring force is directly proportional to the displacement of the object. Regular periodic motion, on the other hand, can have various types of restoring forces and does not necessarily follow the equation x(t) = A cos(ωt + φ).
To solve for the displacement, velocity, and acceleration in simple harmonic motion, you can use the equations x(t) = A cos(ωt + φ), v(t) = -ωA sin(ωt + φ), and a(t) = -ω^2A cos(ωt + φ). These equations can be derived from the general equation for simple harmonic motion and can help you understand the behavior of the object at different points in time.