- #1
Linus Pauling
- 190
- 0
1. Find C and S in terms of the initial position and velocity of the oscillator.
Give your answers in terms of x_0, v_0, and omega. Separate your answers with a comma.
2. x(t) = X_0 + v_0*t + 0.5at^2
x(t) = C*cos(omega*t) + S*sin(omega*t)
3. Taking the derivative of x(t):
v(t) = -C*omega*sin(omega*t) + S*omega*sin(omega*t)
Thus,
x_0 = C
v_0 = S*omega
How don't quite see how to solve for C and S in terms of x_0, v_0, and omega only.
Give your answers in terms of x_0, v_0, and omega. Separate your answers with a comma.
2. x(t) = X_0 + v_0*t + 0.5at^2
x(t) = C*cos(omega*t) + S*sin(omega*t)
3. Taking the derivative of x(t):
v(t) = -C*omega*sin(omega*t) + S*omega*sin(omega*t)
Thus,
x_0 = C
v_0 = S*omega
How don't quite see how to solve for C and S in terms of x_0, v_0, and omega only.