# One SImple prob and another about resonance

• ninjagowoowoo
In summary, according to the question, if the mass of the pendulum doubles, the period increases. If the ship accelerates upward, the period does not change. If the ship moves upward with a constant velocity, the period decreases. If the length of the pendulum is doubled, the new period will be T0 multiplied by the square root of 2.
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...

ninjagowoowoo said:
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.

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.

ninjagowoowoo said:
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?

## 1. What is a simple probability?

A simple probability is the likelihood or chance of an event occurring, expressed as a fraction or decimal between 0 and 1. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

## 2. How is simple probability used in science?

Simple probability is used in science to understand, predict, and analyze the likelihood of different outcomes in experiments or natural phenomena. It helps scientists make informed decisions and draw meaningful conclusions from their data.

## 3. What is resonance?

Resonance is a phenomenon in which an object or system vibrates at its natural frequency in response to an external force or stimulus. This results in increased amplitude or energy of the vibrations.

## 4. How is resonance important in science and engineering?

Resonance is important in science and engineering because it can have both positive and negative effects. It can be used to amplify signals and improve the efficiency of systems, but it can also cause unwanted vibrations and damage if not properly controlled.

## 5. Can resonance occur in living organisms?

Yes, resonance can occur in living organisms. For example, it plays a crucial role in the functioning of the human ear and vocal cords. It can also be observed in the movement of certain animals, such as hummingbirds, whose wings resonate at high frequencies to produce their distinctive humming sound.

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