A bullet of mass 200 g is shot with ? = 100 ?/? toward a block of mass 2 kg that is placed on a frictionless table. The block is connected to rod of negligible mass and length 2 m, which is pinned at point P. The bullet, which is shot perpendicular to the rod, enters the block, and becomes embedded in it. The system then rotates about point P with angular speed ?. What is ?? Show your detailed work.
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).
A bullet of mass 200 g is shot with ? = 100 ?/? toward a
block of mass 2 kg that is placed on a frictionless table. The block is
connected to rod of negligible mass and length 2 m, which is pinned
at point P. The bullet, which is shot perpendicular to the rod, enters
the block, and becomes embedded in it. The system then rotates
about point P with angular speed ?. What is ??
Show your detailed work.
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