Question

A L shaped rod whose one rod is horizontal and other vertical is rotating about a vertical axis
as shown with angular speed o. The sleeve shown in figure has mass 2m and friction coefficient
between rod and sleeve is u. The minimum angular speed o for which sleeve cannot slip on
rod is :​

Answer 1

Answer:

given = L shape rod

            reffer the attached diagram

            mass = 2m

            friction co-efficient = μ

               

to find =  minimum angular speed

solution =

 apply the formula ,

   fr= μN

   fr=  2mg..................... (given)

  N= 2mω²l

  ω²= 2m/l

  ω²= g/μl

  ω = √g/μl

     =$ω= \sqrt{\frac{g}{μl}$

minimum angular speed  is  ω = √g/μl