Pendulum period in accelerating frames and spring-mass resonance

[ninjagowoowoo]

Q1:
Which are true:

A) If the mass of the pendulum doubles, the period increases.
B) If the ship accelerates upward, the period does not change.
C) If the ship moves upward with a constant velocity, the period decreases.
D) If the ship accelerates downward at 9.8 m/s2, the pendulum will no longer oscillate.
E) If the length of the pendulum is doubled, the new period will be T0 multiplied by the square root of 2.

I'm just checking my answer here, wouldn't it only be A and E?

Q2:
A 0.950 kg mass is suspended from a spring with a spring constant of 159 N/m. The spring is attached to a rod which oscillates vertically at a frequency f. For what value of the frequency f will the system resonate?

I have no idea what to do here... i don't even remember my prof. talking about resonance...

 

[OlderDan]

Q1:
Which are true:

A) If the mass of the pendulum doubles, the period increases.
B) If the ship accelerates upward, the period does not change.
C) If the ship moves upward with a constant velocity, the period decreases.
D) If the ship accelerates downward at 9.8 m/s2, the pendulum will no longer oscillate.
E) If the length of the pendulum is doubled, the new period will be T0 multiplied by the square root of 2.

I'm just checking my answer here, wouldn't it only be A and E?

Q2:
A 0.950 kg mass is suspended from a spring with a spring constant of 159 N/m. The spring is attached to a rod which oscillates vertically at a frequency f. For what value of the frequency f will the system resonate?

I have no idea what to do here... i don't even remember my prof. talking about resonance...

You have not stated the conditions in the first question. It makes no sense without them.

A simple example of resonance is when you push someone on a swing, you have to match your pushes with the natural motion of the swing to increase its amplitude. That is resonance. See if you can apply that idea to this problem.

 

[ninjagowoowoo]

Sorry, here's the conditions:
A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is hovering near the Earth in a uniform gravitational field.

 

[OlderDan]

Sorry, here's the conditions:
A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is hovering near the Earth in a uniform gravitational field.

What do you think the answers are, and why?