Problem 4: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 M is attached to the edge of the disk. 2M Part (a) Calculate the moment of inertia ICM of the disk (without the point mass) with respect to the central axis of the disk, in terms of M and R Expression : ICM = Select from f variables below to write your expression. Note that all variat s may not be required. a, ß, 0, a, d. g, h, i, j, k, M, P, R, S, t Part (b) Calculate the moment of inertia Ip of the disk (without the point mass) with respect to point P, in terms of M and R. Expression : Ip= Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h, i, j, k, M, P, R, S, t Part (c) Calculate the total moment of inertia Ir of the disk with the point mass with respect to point P, in terms of M and R. Expression : I7 =
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).
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