small metal cylinder rests on a circular turntable that is rotating at a constant speed as illustrated in the diagram (Figure 1). The small metal cylinder has a mass of 0.20 kg, the coefficient of static friction between the cylinder and the turntable is 0.080, and the cylinder is located 0.15 m from the center of the turntable. Take the magnitude of the free-fall acceleration to be 9.8 m/s2. What is the maximum speed Vmax that the cylinder can move along its circular path without slipping off the turntable?
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 small metal cylinder rests on a circular turntable that is rotating at a constant speed as illustrated in the diagram (Figure 1). The small metal cylinder has a mass of 0.20 kg, the coefficient of static friction between the cylinder and the turntable is 0.080, and the cylinder is located 0.15 m from the center of the turntable. Take the magnitude of the free-fall acceleration to be 9.8 m/s2. What is the maximum speed Vmax that the cylinder can move along its circular path without slipping off the turntable?
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