The solid circular sphere with mass m = 7 kg and radius R = 0.7 m rolls without slipping on the horizontal surface, collides with the step at A and continues to 'roll' without slipping about point A to climb the step's change of elevation h = 0.2 m. Assume the collision at A is perfectly inelastic and determine the minimum initial linear velocity necessary to climb the step. Report the result in m/s.
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).
Please help showing how to solve this question. According to Canvas, the answer should be 1.367 m/s.
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