Find the center of mass and the moment of inertia about the y-axis for a thin rectangular plate cut from the first quadrant by the lines x= 6 and y =1 if 8(x,y) = 3x +y +5. (..... What are the coordinates of the center of mass? (Type an integer or a simplified fraction.)
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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