• bharp24
In summary, the conversation involves a problem with a pendulum and the need for help to determine the speed and tension of the pendulum at certain points. The solution involves looking at conservation of energy and understanding that the pendulum has only kinetic energy at its lowest point and only potential energy at its highest point.

bharp24

A small rock with mass 0.12 is fastened to a massless string with length 0.80 to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45 with the vertical. Air resistance is negligible.

What is the speed of the rock when the string passes through the vertical position?

What is the tension in the string when it makes an angle of with the vertical?

What is the tension in the string as it passes through the vertical?

For the first question you need to look at conservation of energy. The pendulum is at its lowest point when in the vertical position, so it has no potential energy. Thus all energy must be kinetic. Likewise, when its at the highest position (454 degree angle with vertical), it has no kinetic energy but maximum potential energy.

thanks! i figured it out a little bit ago though!

1. What is a pendulum problem?

A pendulum problem refers to a physics problem that involves the use of a pendulum, which is a weight suspended from a pivot point that swings back and forth under the influence of gravity.

2. What is the formula for calculating the period of a pendulum?

The formula for calculating the period (T) of a pendulum is T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

3. How does the length of a pendulum affect its period?

The length of a pendulum directly affects its period. As the length of the pendulum increases, the period also increases. This means that longer pendulums will take longer to complete one full swing than shorter pendulums.

4. What factors can affect the accuracy of a pendulum problem?

There are several factors that can affect the accuracy of a pendulum problem, including air resistance, the swing angle, and the mass of the pendulum. Additionally, small variations in the length and pivot point of the pendulum can also impact the results.

5. How can I use a pendulum to measure the acceleration due to gravity?

To use a pendulum to measure the acceleration due to gravity, you would need to measure the length of the pendulum and time how long it takes to complete one full swing. Using the formula T = 2π√(L/g), you can rearrange the equation to solve for g, which will give you the value of the acceleration due to gravity.