Figure below shows a ring of mass m and radius r= 2.1 m rotating with an initial angular speed w, see figure. Initially, the two point masses, each of mass m/8, are at rest and located at O. These masses can move radially outward along two massless rods fixed on the ring as shown in the figure. At some instant, the angular speed of the system is 8w/9 and one of the masses is at a distance of 3r/5 from O. At this instant, what is the distance of the other mass from O (in m)? The moment of inertia of [the ring is Iing = m² [10 minutes 9 3r Before After
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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