The homogeneous bar of length Dand mass M shown in the figure below rotates in the planeof the paper around an axiS that passes through one of the ends with a certain momentof inertia. When passing through the lowest position, the bar collides with a ball of dough ofmodel of dough, which is stuck to the end of the bar. If the angular velocity of theslash immediately before the collision is wo, what is the angular velocity of the bar – forming mass system immediately after the collision?
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).
![Axis of rotation
bar](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd32976ef-0e62-4494-941d-752fb05658de%2Fb2a64fab-76ab-4308-bff5-8b0377ec9895%2Fsc1rozi_processed.png&w=3840&q=75)
![The homogeneous bar of length Dand mass M shown in the
figure below rotates in the planeof the paper around an axiS
that passes through one of the ends with a certain momentof
inertia. When passing through the lowest position, the bar
collides with a ball of dough ofmodel of dough, which is stuck
to the end of the bar. If the angular velocity of theslash
immediately before the collision is wo, what is the angular
velocity of the bar – forming mass system immediately after
the collision?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd32976ef-0e62-4494-941d-752fb05658de%2Fb2a64fab-76ab-4308-bff5-8b0377ec9895%2F4e39lq_processed.png&w=3840&q=75)
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