You place a 3.0-m -long board symmetrically across a 0.5-m -wide chair to seat three physics students at a party at your house. If 70-kg D sits on the left end of the board and 50-kg T on the right end of the board, where should 54-kg K sit to keep the board stable? Ignore the mass of the board and treat each student point- like objects. The positive z-direction is to the right, and the origin is at the center of the chair.
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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