# What Is the Vertical Acceleration at the Lowest Point of a Swinging Pendulum?

• mattmannmf
In summary, the original pendulum of mass 11 kg, with a period of 1.6 sec and displaced at an angle of 12 degrees from the vertical, will have an acceleration of -9.8 m/s^2 in the vertical (y) direction as it reaches the lowest point on its swing due to the force of gravity acting on it. However, because the pendulum is attached by a rod or string, the tension in the rod cancels out the force of gravity at the low point. In order to solve for the acceleration, more information is needed, specifically the tension in the rod or string supporting the pendulum. The equation ΣF=ma=mg-T Cos θ can be used to solve
mattmannmf
original pendulum of mass 11 kg with a period of 1.6 sec, displaced an angle of 12 degrees from the vertical. What would its acceleration be in the vertical (y) direction as it reachs the lowest point on its swing?

wouldn't it just be -9.8? (since its just the force of gravity acting on it)

It is a pendulum, which means it is attached by a rod or string. In either event, what does that do to the force of gravity at the low point?

umm...not sure...

Well if you look at the free body diagram the tension in the rod cancels out the force of gravity.

ok so its just zero

yep.

you need more information to solve the problem. you need to know the tension in the rod or string that's supporting the pendulum. Then you will be able to solve the eqn
ΣF=ma=mg-T Cos θ

## 1. What is a pendulum?

A pendulum is a weight suspended from a fixed point that is able to freely swing back and forth due to the force of gravity.

## 2. How does a pendulum work?

A pendulum works by converting potential energy (stored energy due to its position) into kinetic energy (energy of motion) as it swings back and forth. The length of the pendulum and the force of gravity determine its period, or the time it takes to complete one swing.

## 3. What is the equation for the period of a pendulum?

The equation for the period of a pendulum is T = 2π√(L/g), where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (usually taken as 9.8 m/s^2).

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

The length of a pendulum has a direct effect on its period. As the length of the pendulum increases, so does the period. This means that longer pendulums take longer to complete one swing compared to shorter pendulums.

## 5. How can I use the equation for the period of a pendulum to solve problems?

To solve problems involving pendulums, you can use the equation T = 2π√(L/g) to calculate the period of a pendulum for a given length and acceleration due to gravity. You can also rearrange the equation to solve for other variables, such as length or acceleration due to gravity, if given the period.

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