Embedded Files
Point Mass Analysis
Point Mass Analysis
r = Center of Mass of entire object
g = 9.81 meters/second^2
To calculate the Center of Mass of the entire object, the bolts' masses and radii have to be accounted for
Note: all bolts have a mass of 4 grams
Bolts' distances to CoM:
10.561 X 2
11.625 X 2
12.528 X 2
13.416 X 2
Center of mass of acrylic: 4.125
Mass: 87.327
A weighted average gives the overall CoM
Total Center of Mass: 0.062 meters
T = 0.4995
Inertial Analysis
Inertial Analysis
Include a diagram, equations and the numerical analysis to predict what the oscillation frequency or oscillation time is of your clock based on inertial analysis.
Definition of inertial oscillation time T in seconds (s), where:
I_tot is the total inertia of the pendulum clock around the rotation point, including the pendulum body and the possible n screws/bolts included in your pendulum.
The value of I_tot is computed as the sum of two main components:
The inertial effect of the pendulum body as the pendulum body mass m times the squared distance r between the rotation point and location of Center of Gravity (CoG) of the pendulum bodyÂ
The inertial effect of the possible n screws/bolts as the screw/bolt mass m_k times the squared distance r_k between the rotation point and location of Center of Gravity (CoG) of each screw/bolt
m_r is the distance weighted mass of the pendulum clock around the rotation point, including the pendulum body and the possible n screws/bolts included in your pendulum.
The value of m_r is also computed as the sum of all the components' masses times the radii
I_tot = 0.93 grams meters^2
m_r = 7.41 grams meters
T = 0.711
Two-dimensional Simulation Analysis
Two-dimensional Simulation Analysis
Videos of WM2D simulation and real-life function
SrimanPendulum3.aviClockvideo.mp4Page updated
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