A particle of mass m₁ = 3.50 [g] is at- tached to another particle of mass m₂ = 4.20 [g]. The first mass, m₁, is constrained to move in uniform circular motion outside a rotating frictionless upright cone with opening angle = 35.0°, while the second mass is freely hanging. If r = 72.5 [cm] is the radius of m₁'s orbit, what must be the tangential velocity of m₁ for m₂ to be stationary?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.15P
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A particle of mass m₁ = 3.50 [g] is at-
tached to another particle of mass m₂ = 4.20 [g]. The
first mass, m₁, is constrained to move in uniform circular
motion outside a rotating frictionless upright cone with
opening angle = 35.0°, while the second mass is freely
hanging. If r = 72.5 [cm] is the radius of m₁'s orbit,
what must be the tangential velocity of my for me to be
stationary?
A. 0.419 [m/s]
B. 2.17 [m/s]
C. 2.31 [m/s]
D. 3.15 [m/s]
m₂
Transcribed Image Text:A particle of mass m₁ = 3.50 [g] is at- tached to another particle of mass m₂ = 4.20 [g]. The first mass, m₁, is constrained to move in uniform circular motion outside a rotating frictionless upright cone with opening angle = 35.0°, while the second mass is freely hanging. If r = 72.5 [cm] is the radius of m₁'s orbit, what must be the tangential velocity of my for me to be stationary? A. 0.419 [m/s] B. 2.17 [m/s] C. 2.31 [m/s] D. 3.15 [m/s] m₂
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