Centripetal Force with angle problem

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SUMMARY

The discussion focuses on calculating the angle θ that allows a ball of mass 0.100 kg, tied by a string of length 0.100 m, to maintain circular motion at a rate of 2 revolutions per second. The relevant equation for centripetal force, FC = mv²/r, is utilized, where Tension (T) is analyzed through the components Tcosθ and Tsinθ. The confusion arises regarding whether to consider the length of the string as the radius or to incorporate the sine of the angle θ in the radius calculation. Clarification on the setup and the nature of the motion is sought by the participants.

PREREQUISITES
  • Understanding of centripetal force and its equation (FC = mv²/r)
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with circular motion concepts
  • Basic physics principles regarding tension and forces
NEXT STEPS
  • Study the derivation and application of the centripetal force equation in circular motion scenarios
  • Learn about the relationship between tension, angle, and circular motion in physics
  • Investigate the effects of different angles on the dynamics of circular motion
  • Explore examples of similar problems involving pendulums and circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to tension and centripetal force.

taxidriverhk
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Homework Statement


Consider the figure below, a ball of mass m=0.100 kg tied by a string of 0.100 m travels in a circular motion with 2 revolutions per second. Find the angle θ that keeps the ball stationary.
Given: m = 0.100 kg, v = 2 rev/sec L = 0.100 m (radius?)
[PLAIN]http://img192.imageshack.us/img192/9518/unledrht.jpg

Homework Equations


FC = \frac{mv^{2}}{r}

The Attempt at a Solution


Let T be the tension force.
y: Tcosθ - mg = 0
x: Tsinθ = mv2/r

The problem is I am not sure if the setup above is right, and should I take the length of the string as the radius? or rsinθ?
Hope you guys can help me, thank you very much, I will be extremely appreciated!
 
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I don't understand the question. If the ball is moving it is not stationary. Is this a pendulum? Is it horizontal or vertical? Please give us the exact wording of the question.

AM
 

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