 481
 1
1. The problem statement, all variables and given/known data
A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. Particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be :
(choose one of the following)
T
[tex]\sqrt{2}T[/tex]
2T
T/[tex]\sqrt{2}[/tex]
T/2
2. Relevant equations
[tex]k=m\omega^2[/tex]
??
3. The attempt at a solution
I blush, but I admit it: guess and check (there were five choices, and we have 5 chances to submit each problem...)
I figure since this is an ideal spring, it has no mass, so the only equation I can think of is rather useless...
Any pointers on the right way to figure this baby out?
A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. Particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be :
(choose one of the following)
T
[tex]\sqrt{2}T[/tex]
2T
T/[tex]\sqrt{2}[/tex]
T/2
2. Relevant equations
[tex]k=m\omega^2[/tex]
??
3. The attempt at a solution
I blush, but I admit it: guess and check (there were five choices, and we have 5 chances to submit each problem...)
I figure since this is an ideal spring, it has no mass, so the only equation I can think of is rather useless...
Any pointers on the right way to figure this baby out?
Attachments

2.1 KB Views: 108