Conceptual question over pendulum

In summary, when a pendulum with a length L and a bob with a mass M is given a minimal initial speed and brought to a horizontal position, the maximum kinetic energy of the pendulum will be reached when it reaches the bottom. This is because all the gravitational potential energy and a small amount of kinetic energy will be converted fully to kinetic energy at the bottom, where the tension in the string is greater than the weight of the bob.
  • #1
jperez94
4
0
Hey guys, just a quick question. If you have a pendulum of length L and a bob of mass M, and if you bring the string to a horizontal position and then give the bob a minimal initial speed enabling the pendulum to make a full turn... the maximum kinetic energy of the pendulum will be when it reaches the bottom... at mg=tension...right?
 
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  • #2
Yes, since the pendulum had gravitational potential energy relative to its position before, all of the gravitational energy plus that little kinetic energy given will be converted fully to kinetic energy when the gravitational potential is zero which is at the bottome as you say it
 
  • #3
Originally posted by jperez94
... when it reaches the bottom... at mg=tension...right?
Just a comment: at the bottom, the tension in the string will not equal mg; it will be greater than mg.
 

1. What is a pendulum?

A pendulum is a simple mechanical device that consists of a mass, known as the bob, attached to a string or rod. It is used to demonstrate the concept of harmonic motion and is commonly used in timekeeping devices such as clocks.

2. How does a pendulum work?

A pendulum works by converting potential energy into kinetic energy as it swings back and forth. When the pendulum is at the highest point of its swing, it has the most potential energy. As it moves towards the bottom of its swing, this potential energy is converted into kinetic energy, causing the pendulum to accelerate. When it reaches the bottom of its swing, the kinetic energy is at its maximum, and the pendulum begins to slow down as it moves back towards the top.

3. What factors affect a pendulum's motion?

The motion of a pendulum is affected by several factors, including the length of the string or rod, the mass of the bob, and the angle at which it is released. The force of gravity and air resistance can also impact its motion.

4. What is the relationship between a pendulum's length and its period?

The period of a pendulum, which is the time it takes to complete one full swing, is directly proportional to the length of the pendulum. This means that as the length of the pendulum increases, its period also increases. Similarly, as the length decreases, the period decreases as well.

5. How is a pendulum used in scientific research?

Pendulums are used in various scientific research studies to investigate the properties of motion and gravity. They can also be used to measure the acceleration due to gravity in different locations. Additionally, pendulums are used in seismology to study earthquake waves and in mechanical engineering to design and test structures for stability and safety.

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