A small object of mass m starts at rest at the upper left end of a curved frictionless track that contains a circular loop of radius R. What is the smallest value of y that will allow the object to reach the top of the circular loop as shown below? (Hint: the object will just lose contact with the track.)

A small object of mass m starts at rest at the upper left end of a curved frictionless track that contains a circular loop of radius R. What is the smallest value of y that will allow the object to reach the top of the circular loop as shown below? (Hint: the object will just lose contact with the track.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

A small object of mass m starts at rest at the upper left end of a
curved frictionless track that contains a circular loop of radius
R. What is the smallest value of y that will allow the object to
reach the top of the circular loop as shown below? (Hint: the
object will just lose contact with the track.)
y
R
R

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