Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it. A. What is the angular speed of the system just after the clay ball hits? B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before?
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).
Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it.
A. What is the angular speed of the system just after the clay ball hits?
B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before?
C. What is the
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