Just going through some concept questions and these three have me stumped. If anyone can lend a hand.
- If a uniform spring is cut in half, what is the force constant of each half? Justify your answer. How would the frequency of SHM using a half-spring difer from that using the same mass and the entire spring.
- The analysis of SHM in this chapter ignored the mass of the spring. How does the spring's mass change the characteristics of motion?
- Assuming a pendulum keeps perfect time at sea level, do you lose time, gain time or neither at a mountain top? (I want to say time runs slower from what I know of special relativity but what about just in classical physics?)