Simple Pendulum and acceleration

In summary, the problem involves a simple pendulum with a mass m tied to a string, swinging freely within certain limits. On a swing from left to right, the string is cut as the pendulum is vertical. The task is to select the letters representing the path of m, the direction of the force right after the cut, and the direction of the acceleration right after the cut. After discussing the forces acting on the bob, it is determined that the force right after the cut is U, the path of m is O, and the acceleration is X, as gravity is the only force acting on it after tension is removed.
  • #1
leslie1016
9
0
A simple pendulum consists of a mass m tied to a string. It swings freely within the limits indicated in the figure below. On a swing from left to right, the string is cut suddenly just as the pendulum is vertical. Select the letters that show the path of m, the direction of the force right after the cut, and the direction of the acceleration right after the cut.


http://http://nicodemus.letu.edu/res/msu/kashy/physicsLib02/09_Force_and_Motion/CutPendulumCpt.problem
 
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  • #2
Welcome to PF!

Hi leslie1016! Welcome to PF! :wink:

(erm … your link doesn't work :redface:)

Tell us what you were going to write, and why you're not sure, and then we'll know how to help! :smile:
 
  • #3
Here is the problem and I have attached the picture:

A simple pendulum consists of a mass m tied to a string. It swings freely within the limits indicated in the figure below. On a swing from left to right, the string is cut suddenly just as the pendulum is vertical. Select the letters that show the path of m, the direction of the force right after the cut, and the direction of the acceleration right after the cut.
 

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  • #4
leslie1016 said:
Here is the problem and I have attached the picture:

A simple pendulum consists of a mass m tied to a string. It swings freely within the limits indicated in the figure below. On a swing from left to right, the string is cut suddenly just as the pendulum is vertical. Select the letters that show the path of m, the direction of the force right after the cut, and the direction of the acceleration right after the cut.

Well... what are your thoughts on what happens?

If it's right at the bottom, then what is the initial direction of motion?

What force is acting on that motion? Gravity of course, but what happens to m after that?
 
  • #5
Well, I think that the force is moving in the direction of T and then the acceleration is moving in the direction of X?
 
  • #6
Draw a diagram of the bob at the moment before it is cut.

What forces are acting on it?

Then imagine that one of the forces (tension) is removed. Which forces are still acting on it?
 
  • #7
If tension is removed then it's only gravity acting on it, correct?
 
  • #8
leslie1016 said:
If tension is removed then it's only gravity acting on it, correct?

Yes, so that can be your only force after T=0 then.

So now what's the answer?
 
  • #9
The force right after the cut is U. The path of M is O and the acceleration is X?
 
  • #10
leslie1016 said:
The force right after the cut is U. The path of M is O and the acceleration is X?

Well if the force is U, what is your theory for the direction of the acceleration being X?
 
  • #11
well, gravity is pulling down on it and the acceleration is from when it was swinging, so it's swining back to the right.
 
  • #12
leslie1016 said:
well, gravity is pulling down on it and the acceleration is from when it was swinging, so it's swining back to the right.

I'm just wondering when F stopped being m*a.
 

1. What is a simple pendulum?

A simple pendulum is a mass (or bob) attached to a string or rod, which is free to swing back and forth under the influence of gravity. It is a fundamental tool used in physics to study the concept of periodic motion and oscillations.

2. What factors affect the acceleration of a simple pendulum?

The acceleration of a simple pendulum is affected by the length of the string or rod, the mass of the bob, and the angle at which it is released. These factors determine the period and frequency of the pendulum's oscillations.

3. How is the acceleration of a simple pendulum calculated?

The acceleration of a simple pendulum can be calculated using the formula a = (g/L)sinθ, where a is the acceleration, g is the acceleration due to gravity, L is the length of the pendulum, and θ is the angle at which it is released.

4. Why does the acceleration of a simple pendulum decrease as the length of the string increases?

This is because the acceleration is inversely proportional to the length of the pendulum. As the length increases, the time taken for one oscillation also increases, resulting in a decrease in acceleration.

5. How is the concept of simple pendulum and acceleration used in real life?

The concept of simple pendulum and acceleration is used in various applications such as timekeeping devices (like clocks), seismometers used in detecting earthquakes, and in determining the acceleration due to gravity. It is also used in studying the motion of celestial bodies and to calculate the length of a second in time.

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