A ring of mass M and radius R is suspended from a light inextensible thread, and two beads (each of mass m) are constrained to slide on it without friction, as shown in the figure below. The beads are released simultaneously from the top of the ring (at = 0) and they slide down opposite sides symmetrically. At the instant of release, the tension in the thread is initially positive. The ring may start to rise depending on the mass ratio M/m. Fixed support ← Thread m m Bead mass Ring mass = M Determine the critical angle theta at which the tension in the thread is equal to zero?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.10P
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Determine the angle theta at which the tension in the thread is equal to zero? Please hand write notes.
A ring of mass M and radius R is suspended from a light inextensible thread, and two
beads (each of mass m) are constrained to slide on it without friction, as shown in the
figure below. The beads are released simultaneously from the top of the ring (at 0 = 0)
and they slide down opposite sides symmetrically. At the instant of release, the tension
in the thread is initially positive. The ring may start to rise depending on the mass ratio
M/m.
Frind support
← Thread
m
m
Ring
mass
Bead mass
-M
Determine the critical angle theta at which the tension in the
thread is equal to zero?
Transcribed Image Text:A ring of mass M and radius R is suspended from a light inextensible thread, and two beads (each of mass m) are constrained to slide on it without friction, as shown in the figure below. The beads are released simultaneously from the top of the ring (at 0 = 0) and they slide down opposite sides symmetrically. At the instant of release, the tension in the thread is initially positive. The ring may start to rise depending on the mass ratio M/m. Frind support ← Thread m m Ring mass Bead mass -M Determine the critical angle theta at which the tension in the thread is equal to zero?
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