# Handicapped pendulum assignment

• tomkoolen
In summary, the conversation discusses an assignment about a "handicapped" pendulum, which is attached to a stationary point, limiting its swinging movement. The assignment involves researching the relation between the height of the stationary point and the period of the pendulum. The conversation also mentions two problems with the assignment, one involving proving a formula for T and the other involving predicting the function's behavior between h=0 and h=30. The conversation ends with a request for ideas on how to solve the problems.
tomkoolen
"Handicapped" pendulum assignment

Hello everyone,

I was wondering if anyone could help me with an assignment about a "handicapped" pendulum (you got to love the professor's taste for scientific terminology). By "handicapped", it is meant that the pendulum is attached to a stationary point, limiting the pendulum's swinging movement. The assignment is about researching the relation between the height of the stationary point and the period of the pendulum.

It's overall a very easy assignment, but I have two problems with it:
1) I need to prove that T(T stands for period) - 0.5T0 = ∏√((l-h)/(g)), with T0 being Huygens' law = 2∏√(l/g). I don't know how I should make a formula for T, seeing as my only resource is some measurement data, namely:

displacement from equilibrium position: 20 cm
length: 97 cm
√(l-h) ---- Period
8.8 1.88
8.2 1.85
7.5 1.76
6.9 1.69
6.1 1.61
5.2 1.54

2) I also have a T', which is the period of a pendulum with a similar stationary point, but this time, it's 5 cm horizontally away from the vertical line of the pendulum. The following measurements were made:

displacement from equilibrium position: 20 cm
length: 97 cm
√(l-h) ----- Period
8.2 1.95
7.5 1.89
7.0 1.81
6.1 1.74
5.2 1.64

These square roots were calculated with h $\in$ [30;70]. I now have to predict the function's behaviour between h = 0 and h = 30.

Anyone with any ideas as to how to solve one or both of these problems, I would be very thankful to hear them.

To clarify the height that is meant by h, please check the image:

http://dl.dropbox.com/u/37807450/Schermafbeelding%202013-01-05%20om%2018.27.26.png

Last edited by a moderator:

The plot should be a straight line, right? So plot the data and compute the R value, slope, etc.

haruspex said:
The plot should be a straight line, right? So plot the data and compute the R value, slope, etc.

Thank you very much!

Thank you for your question and for sharing your assignment. It seems like you have a good understanding of the concept of a "handicapped" pendulum and the purpose of the assignment.

To address your first problem, it looks like you have all the necessary data to create a graph of T versus √(l-h). From there, you can use the graph to estimate the value of T for different values of √(l-h). Once you have those values, you can plug them into the equation T(T stands for period) - 0.5T0 = ∏√((l-h)/(g)) and see if they match up. If they do, then you have successfully proven the relationship between T and √(l-h). If not, you may need to check your calculations or data to see if there are any errors.

For your second problem, it seems like you are being asked to predict the behavior of T' for values of h between 0 and 30. One approach could be to create a graph of T' versus h and see if there is a clear trend or pattern. From there, you can use that trend to predict the behavior of T' for values of h between 0 and 30. Another approach could be to use the equation T(T stands for period) - 0.5T0 = ∏√((l-h)/(g)) and plug in different values of h to see how T' changes.

I hope these suggestions are helpful in solving your assignment. If you have any further questions or need clarification, please don't hesitate to ask. Good luck!

## 1. What is a handicapped pendulum assignment?

A handicapped pendulum assignment is a scientific experiment where a pendulum is used to study the effects of a physical handicap on its motion. The handicap can be in the form of a weight attached to the pendulum, or a restriction placed on its motion.

## 2. How does a handicapped pendulum assignment work?

A handicapped pendulum assignment typically involves setting up a pendulum and introducing a handicap, such as a weight or a restriction, to its motion. The pendulum's motion is then observed and recorded to study how the handicap affects its behavior.

## 3. What can be learned from a handicapped pendulum assignment?

A handicapped pendulum assignment can provide insights into how a physical handicap affects the motion of a pendulum. It can also help in understanding the principles of pendulum motion and how different factors can impact its behavior.

## 4. What are some potential applications of a handicapped pendulum assignment?

The results of a handicapped pendulum assignment can be applied to various fields such as physics, engineering, and medicine. It can also be used to design and test devices that can assist individuals with physical disabilities in their daily activities.

## 5. What are the safety precautions to consider when conducting a handicapped pendulum assignment?

As with any scientific experiment, it is important to follow proper safety precautions when conducting a handicapped pendulum assignment. This may include wearing protective gear, ensuring a stable and secure setup, and handling any hazardous materials or equipment with caution.

Replies
27
Views
1K
Replies
2
Views
1K
Replies
3
Views
2K
Replies
1
Views
2K
Replies
31
Views
3K
Replies
3
Views
1K
Replies
1
Views
23K
Replies
11
Views
6K
Replies
4
Views
2K
Replies
2
Views
9K