The angular velocity of a wheel rotating on a horizontalaxle points west. In what direction is the linear velocity ofa point on the top of the wheel? If the angular accelerationpoints east, describe the tangential linear acceleration of thispoint at the top of the wheel. Is the angular speed increasingor decreasing?
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).
The
axle points west. In what direction is the linear velocity of
a point on the top of the wheel? If the angular acceleration
points east, describe the tangential linear acceleration of this
point at the top of the wheel. Is the angular speed increasing
or decreasing?
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