- #1
skiboka33
- 59
- 0
having trouble showing that X(t) = Xo cos (wt) + (Vo/w) sin(wt)
been fiddling with equations for a while and can't see it... thanks!
been fiddling with equations for a while and can't see it... thanks!
X(t) is a mathematical function that represents the position of an object at any given time t. It is defined as the sum of two sinusoidal functions: Xo cos (wt) and (Vo/w) sin(wt).
Xo represents the amplitude or maximum displacement of the object from its equilibrium position, while Vo represents the initial velocity of the object.
w is the angular frequency of the object, which represents the rate at which the object oscillates or moves back and forth. It is equal to 2π divided by the period of oscillation.
Changing the value of Xo will change the amplitude of the graph, while changing the value of Vo will change the initial position of the graph. Changing the value of w will change the frequency and period of the graph.
The equation represents simple harmonic motion, which is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. It is commonly seen in pendulums, springs, and other systems.