Find the center of mass of the lamina in the following figure if the circular portion of the lamina has twice the density of the square portion of the lamina. (Round your answers to two decimal places.) (x, y) = y X
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).
The Center of the mass of a body is defined as the point inside an object where the whole of its mass is concentrated and this is the point where any force acts on a body and hence this point is often used to show all the forces acting on the body.
The center of mass of a combination of bodies can be calculated and equations of motions can be solved easily via this point.
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