A child of mass m stands at rest nearthe rim of a stationary merry-go-round of radius R and moment ofinertia I. The child now begins to walk around the circumference ofthe merry-go-round with a tangential speed v with respect to themerry-go-round’s surface. (a) What is the child’s speed with respectto the ground? Check your result in the limits (b) I S 0 and (c) I 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).
A child of mass m stands at rest near
the rim of a stationary merry-go-round of radius R and moment of
inertia I. The child now begins to walk around the circumference of
the merry-go-round with a tangential speed v with respect to the
merry-go-round’s surface. (a) What is the child’s speed with respect
to the ground? Check your result in the limits (b) I S 0 and (c) I S ∞.
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