1. Stevens Institute of Technology
PEP 201 Lab -- Pendulum
PEP 201 Lab
Pendulum
Department of Physics
Stevens Institute of Technology

2. PEP 201 Lab -- Pendulum Equation of Motion: When is small, we have:
The equation reduce to:
This is the second order differential equation, solving this equation, we obtain
: the total inertia of the whole system
: the total torque factor of the whole system

3. CM a b
Parallel axis theorem

4. PEP 201 Lab -- Pendulum Calculate the theoretical period
In order to calculate the theoretical value of the period, we need to measure the following five values:
1. Mass of rod:
2. Mass of the cylinder:
3. Mass of the sphere:
4. Length of the rod:
5. Distance of hole “a”:
6. Distance of hole “b”:
7. Height of the cylinder:
8. Radius of the cylinder:
9. Radius of the sphere: CM a b

5. Exp. 1 CM a b
Case 1
Pivot “a”
Case 2
Pivot “b”

7. Exp. 2 CM a b
Case 1, simple pendulum

8. Exp. 2 CM a b
Case 2, calculate all the inertia of the rod, neglect the inertia of the cylinder with respect to the center mass of itself.

9. Exp. 2 Case 3, calculate all the inertia of the rod and the cylinderCM a b
Case 3, calculate all the inertia of the rod and the cylinder

11. Exp. 3 Experiment 3 determine the period by perturbation theoryCM a b
Amplitude
Time (10 periods)
T (Time/10) 5 10 15 20 25
Average:
STD:

12. Exp. 4
Experiment 3 Measure period with cylinder and sphere CM a b