Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the angular velocity is constant, and the toy is not slipping downward. write Newton’s Second Law for the x and y directions. Use algebra and your equations above to predict the minimum angular velocity ωmin necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.
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).
Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the
write Newton’s Second Law for the x and y directions.
Use algebra and your equations above to predict the minimum angular velocity ωmin necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.
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