- #1
jenkirk
- 5
- 0
Hey I am new to this site, i used to have george jones as a proff he was an amazing guy but now this new proff i don't really get, i am having trouble with proofs, i don't know how to do them well i have 3 problems I am having trouble with
given that the amplitude of a damped harmonic oscillator drops to 1/e of its initial value after n cycles, show the ratio of period of oscillation to the period of the same oscillator with no damping is,
T (damped)/T(undamped) = square root (1+ 1/(4pi squared n squared)
The second question is: the terminal speed of a freely falling ball is v. when the ball is supported by a light elastic spring the spring stretches by an amount x, show the natural frewuency of oscillation is:
w (omega) = (square root g/x) - g/(2v)
haha hey I am jen by the way
given that the amplitude of a damped harmonic oscillator drops to 1/e of its initial value after n cycles, show the ratio of period of oscillation to the period of the same oscillator with no damping is,
T (damped)/T(undamped) = square root (1+ 1/(4pi squared n squared)
The second question is: the terminal speed of a freely falling ball is v. when the ball is supported by a light elastic spring the spring stretches by an amount x, show the natural frewuency of oscillation is:
w (omega) = (square root g/x) - g/(2v)
haha hey I am jen by the way