Tension in a chain with circular motion

1 reply · 1K views · last reply
Pushoam
Messages
961
Reaction score
53

Homework Statement



b59cb3c2-1555-4da8-bfae-c6b04b25b21d
Printed problem text, numbered 1.92: a chain of mass m forming a circle of radius R is slipped on a smooth round cone with half-angle θ, rotating at constant angular velocity ω about the cone's vertical symmetry axis; find the tension.

Homework Equations

The Attempt at a Solution



What I know is tension is same in magnitude at all points of the chain along tangential direction due to the symmetry of the system.
But how to find it out?[/B]
 
Attachments
  • Printed problem 1.92 text: A chain of mass m forming a circle of radius R is slipped on a smooth round cone with half-angle θ. Find the tension of the chain if it rotates with constant angular velocity ω about a vertical axis coinciding with the symmetry axis of the cone.
    upload_2017-7-20_20-33-31.png
    14.7 KB · Views: 571
Last edited:
Consider all the forces acting on a small piece of the chain, which subtends a differential angle.
(What is the mass, acceleration, and acting forces on this piece?)