Simple Harmonic Motion Problem(pendulum)

In summary, the conversation discusses the use of an equation to determine the time it takes for a simple pendulum to reach its maximum speed. The equation given is Tpend=2\pi\sqrt{}length/gravity, but the person asking the question is unsure if kinetic or potential energy should be factored in. They are reminded to consider the law of conservation of mechanical energy to determine the position at which the pendulum's speed will be at a maximum. The conversation ends with the person expressing gratitude for the help.
  • #1
JSmith89
7
0

Homework Statement


A simple pendulum is made from a 0.653 m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?


Homework Equations



Tpend=2[tex]\pi[/tex][tex]\sqrt{}length/gravity[/tex]

incase that didn't come out right using the symbols: Timeofpend=2pi*the square root of length divided by gravity

The Attempt at a Solution


I used this equation from notes in class and the answer was wrong... I'm not sure whether you need to factor in kinetic energy/potential energy because it's asking the time before it attains the greatest speed or not. I feel like this should be an easy question. Thanks ahead of time! :-)
 
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  • #2
Remember your equation gives the time for one complete oscillation. Think of where the pendulum's speed will be a maximum (at which position) during it's swing? The law of conservation of mechanical energy will help you to determine this point.
 
  • #3
ok got it thanks!
 
  • #4
JSmith89 said:
ok got it thanks!

Glad to be of assistance :smile:
 

1. What is simple harmonic motion?

Simple harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position. This motion is characterized by a restoring force that is directly proportional to the displacement from the equilibrium position and acts in the opposite direction of the displacement.

2. How is a pendulum an example of simple harmonic motion?

A pendulum is an example of simple harmonic motion because it follows the same principles as simple harmonic motion. The weight of the pendulum is constantly pulled back towards its equilibrium position by gravity, creating a restoring force. As the pendulum swings, it exhibits back-and-forth motion around its equilibrium position.

3. What factors affect the period of a pendulum?

The period of a pendulum is affected by its length, the force of gravity, and the amplitude (angle) of its swing. The longer the pendulum, the longer its period. Similarly, a pendulum on Earth will have a longer period than on the moon due to the difference in gravitational force. The amplitude also affects the period, as a larger amplitude will result in a longer period.

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

The mass of a pendulum does not affect its period. This is because the period of a pendulum is determined by its length and the force of gravity, not its mass. This is known as the "isochronous property" of pendulums.

5. Can a pendulum ever exhibit non-simple harmonic motion?

Yes, a pendulum can exhibit non-simple harmonic motion if it is subject to external forces, such as air resistance or friction. These forces can disrupt the restoring force and cause the pendulum to deviate from simple harmonic motion.

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