Pendulem in Simple Harmonic Motion
[pic]
Laboratory 1 Simple Pendulum Motion
By Ryan Williams Foundation Degree Mechanical Engineering
Introduction
In Mechanics and Physics, simple harmonic motion (SHM) is a periodic motion that is neither driven on damped by external forces. An object in simple harmonic motion experiences a net force which relates to Hooke’s law. Hooke’s law states “Force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction of the displacement”.
Method
For this assignment I am going to try and verify the kinematic simple harmonic motion of a pendulum and compare physical measurements taking with the theory of SHM to verify if the theory is correct. To achieve this I am going to attach a plumb bob to a piece of string suspended from a clamp to allow it to oscillate. Firstly I will measure the length of the pendulum and note the time it takes to complete 30 oscillations, this will be repeated giving me two separate data recordings. From these two readings I will calculate the average time to obtain a more accurate measurement. This will then be repeated six times, each time changing the length of the string.
(Fig 1)
Fig 1 shows a similar method that I am going to use to collect the data required.
Diagram Available [Online] from [http://www.phys.unt.edu/~klittler/demo_room/waves_demos/3a10_10.htm] [accessed 18/02/13]
Results
|Length of string (mm) |√Length (mm)½ |Time for 30 |Average time for 30 |Period (T) |
| | |oscillations (s) |oscillations (s) | |
|335mm |18.30mm |T1 - 35.28 T2 -|35.55sec |1.19sec |
| | |35.81
Laboratory 1 Simple Pendulum Motion
By Ryan Williams Foundation Degree Mechanical Engineering
Introduction
In Mechanics and Physics, simple harmonic motion (SHM) is a periodic motion that is neither driven on damped by external forces. An object in simple harmonic motion experiences a net force which relates to Hooke’s law. Hooke’s law states “Force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction of the displacement”.
Method
For this assignment I am going to try and verify the kinematic simple harmonic motion of a pendulum and compare physical measurements taking with the theory of SHM to verify if the theory is correct. To achieve this I am going to attach a plumb bob to a piece of string suspended from a clamp to allow it to oscillate. Firstly I will measure the length of the pendulum and note the time it takes to complete 30 oscillations, this will be repeated giving me two separate data recordings. From these two readings I will calculate the average time to obtain a more accurate measurement. This will then be repeated six times, each time changing the length of the string.
(Fig 1)
Fig 1 shows a similar method that I am going to use to collect the data required.
Diagram Available [Online] from [http://www.phys.unt.edu/~klittler/demo_room/waves_demos/3a10_10.htm] [accessed 18/02/13]
Results
|Length of string (mm) |√Length (mm)½ |Time for 30 |Average time for 30 |Period (T) |
| | |oscillations (s) |oscillations (s) | |
|335mm |18.30mm |T1 - 35.28 T2 -|35.55sec |1.19sec |
| | |35.81