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?

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?

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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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

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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