MATHEMATICAL PENDULU
I. Objectives
1. Study the working principles of the mathematical pendulum2. Determining the period of oscillation as a function of wire length for a small deviation3. Determining the value of gravitational acceleration
II. Basic Theory
If the mass point be drawn to one side of its equilibrium position and released, the mass will oscillate around its equilibrium position.Consider the forces acting on a simple pendulum based on the graphic below!
Trajectory of motion of the pendulum is not a straight line, but the form of arc of a circle with a radius equal to the length l string.Restoring force F is the tangential component of the total force:If a small angle, very close to in radians. With this approach, equation (1) becomes:I. Tools and Materials
Steel ball with eyelet, d = 24.4 mm and d = 32 mm
Meter scale, l = 1000 mm
Fish line, l = 100 m
Right angle clamp-PASS-
Tripod base-PASS-
II. Working Procedure
1. Read bismillah before you start experimenting
2. Prepare equipment to be used!
3. Set-up equipment as shown below!
4. Put the pendulum at one end of the rope which is free!
5. distorted pendulum with angle deviation 50
6. release the pendulum, let it swing up to ten swing!
7. record of 10 pendulum swing!
8. Repeat the measurements for different length of rope!
9. Record your observations as a temporary report data!
10. End with hamdalah!
I. Evaluation
1. What is a deviation, amplitude, frequency and period of a simple pendulum system?
2. What should you do with a simple pendulum length of rope to a) doubling the frequency, b)
doubling the period, c) doubling the frequency of its corners?
3. A simple pendulum has a period of 1.60 s special on earth. How many periods on the surface
of Mars, where g = 3.71 m/s2?
4. Make a graph of the relationship between periods as a function of the length of string and
graph the relationship between periods as a function of angle of deviation in a simple pendulum
system based on experimental data which you get!
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