use two points: one taken at near the beginning of its descent, “initial”, and one just prior to the hanging mass reaching its lowest point, “final”, to determine the moment of inertia of the disk/plate. Note the position of the hanging mass is yh , and its velocity is vh . The moment of inertia isI for whatever is rotating. 1. Isolate the moment of inertia, algebraically from the above equation as all other variables have been measured. Solve for the variable in terms of the others because there is no data so only working with variables.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
use two points: one taken at near the beginning of its descent,
“initial”, and one just prior to the hanging mass reaching its lowest point, “final”, to determine the
moment of inertia of the disk/plate.
Note the position of the hanging mass is yh , and its velocity is vh . The moment of inertia isI for
whatever is rotating.
1. Isolate the moment of inertia, algebraically from the above equation as all other variables have been
measured.
Solve for the variable in terms of the others because there is no data so only working with variables.
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