00:01
For these two questions, it's important to know the period for a mass on a spring as well as for a pendulum, both of which we are going to assume show simple harmonic motion.
00:15
So for problem one, you're trying to discover which of the given statements are true.
00:22
And so the first statement says that the maximum distance we pull the mass away from x equals zero will increase the time for one oscillation or the period.
00:38
And that's not true because the displacement x is nowhere to be found in the formula for the period of a mass on a spring.
00:49
So this one is not true.
00:55
For the second one, i -i, it says that the stiffness or strength of the spring will determine the period.
01:04
And that is true.
01:05
K is in the expression for the period.
01:10
And so the strength of the spring or the spring constant is important.
01:16
The third statement is that the mass of the object attached to the.
01:22
The spring will determine the period and mass also shows up in our equation, so it is true.
01:27
So only two and three are true here.
01:32
For problem two, there are a ton of statements.
01:37
And again, here we want to figure out which of these statements are not true, which of these are not a feature of harmonic oscillations.
01:49
So first, is there a stable equilibrium point where the net four, is zero.
01:54
If we're considering a pendulum or a mass on a spring, there is an equilibrium force or sorry, an equilibrium point.
02:07
And when our object is at equilibrium, the net force on it is zero...