) I'm riding my stationary bicycle and I get curious about the dynamics of the wheel. So I conduct an experiment with a photogate and I find that at some time to = 0 the internal wheel of the bike is spinning at an angular velocity of 4.00 rad/s. As I pedal, the wheel undergoes a constant angular acceleration of 2.00 raa/2. I define a reference spoke as one that coincides with the +x axis at to = 0. See the diagram below: s2 o= 4.00 rad/ At to = 0, a = 2.00 rad/ %3D Reference Spoke 0 =0 at to =0 a) What angle does the reference spoke make with the x axis at t = 3.00 s? b) What is the wheel's angular velocity at t = 3.00 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).
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