What Are the Average Forces and Friction in These Motion Problems?

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SUMMARY

This discussion focuses on calculating average forces and friction in motion problems related to Newton's Laws. Key problems include determining the average force on a particle moving in a circular path, calculating frictional force on a block, and finding the minimum speed of a rotor to prevent slipping. The answers provided are (3√3 mv²)/4πr for the circular motion problem, 0.1N for the frictional force, and √(g/μr) for the rotor speed. Participants are encouraged to show their attempts to facilitate better assistance.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of circular motion dynamics
  • Familiarity with friction coefficients and their applications
  • Basic algebra for solving motion equations
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  • Study the derivation of centripetal force in circular motion
  • Learn about static and kinetic friction coefficients
  • Explore applications of Newton's Laws in real-world scenarios
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Students preparing for physics exams, educators teaching Newton's Laws, and anyone interested in understanding forces and friction in motion problems.

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I'm new to this forum, so Hi! :) I have a test on Newton's Laws of Motion, the day after tomorrow and will appreciate any kind of help on these problems. Thank you very much, and nice to meet you all. :)

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Q1. A particle of mass m moves with constant speed v on a circular path of radius r. It starts from a point A and makes a 240 rotation when it comes at point B. What is the average force on it during it's motion from A to B? [Ans: (3√3 mv^2)/4πr ]

Q.2 A 1Kg block is kept on a 100 kg block. Coefficient of friction , μ=0.5
What is the frictional force acting on the 1Kg block? [Ans: 0.1N]

(I know this is very simple, but I am always ending up with an answer of 5N. Am I doing something wrong logically or is the answer given wrong?

Q.3 A person stands in contact against the inner wall of a rotor of radius r. The coefficient of friction between the wall and his clothes is μ and the rotor is rotating about vertical axis. What is the minimum speed of rotor so that the person des not slip downward? [Ans: √(g/μr) ]
 
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