Mechanics inclined plane question

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SUMMARY

The discussion focuses on calculating the initial velocity (u) of a small object on an inclined plane after it passes point B, where the reaction force is halved. Given a coefficient of friction (μ) of 0.3 and an initial angular velocity (ω0) of 10 rad/s, the solution yields an initial velocity of 2.46 m/s. The relevant force equation is F = μR, and the problem hints at the use of SUVAT equations for further analysis.

PREREQUISITES
  • Understanding of mechanics, specifically inclined planes
  • Familiarity with friction coefficients and their implications
  • Knowledge of force equations, particularly F = μR
  • Basic grasp of kinematic equations (SUVAT)
NEXT STEPS
  • Study the implications of changing normal forces on inclined planes
  • Explore the derivation and application of SUVAT equations in various scenarios
  • Investigate the relationship between angular velocity and linear velocity
  • Learn about the effects of different coefficients of friction on motion
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Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators looking for problem-solving strategies in kinematics.

themster
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Homework Statement


A small object of mass m is given an initial velocity u at point A. Just after it passes B the reaction force between the object and the surface drops at half the previous value. If the coefficient of friction between the object and the surface is μ=0.3, find the initial velocity u.
ω0 =10rad/s
Ans: 2.46 m/s


Homework Equations


F = μR
Possibly SUVAT equations?

The Attempt at a Solution

 

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It's traditional for you to show you have made some attempt at the question.

Hints:
Why does the normal force after point B drop?
What's the definition of μ?
 

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