Answer :


In this system there exists two physical forces, one is gravity and the other one is centrifugal force.


Normal reaction force is balanced as,



As the direction of friction is a variable, we will try both cases of friction, one is along mgsinθ and the other one is in the opposite direction.


Let us assume friction is along mgsinθ


So,



Here friction is at its maximum limit. Hence,



So,





Now, let us assume friction is in the opposite direction of mgsinθ


So,



Here friction is at its maximum limit. Hence,



So,





This implies that if the angular speed is in range from to then the block will not slip.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A uniform wheel oHC Verma - Concepts of Physics Part 1

A solid sphere isHC Verma - Concepts of Physics Part 1

A hollow sphere oHC Verma - Concepts of Physics Part 1

A uniform rod pivHC Verma - Concepts of Physics Part 1

Suppose the partiHC Verma - Concepts of Physics Part 1

A small disc is sHC Verma - Concepts of Physics Part 1

A small sphericalHC Verma - Concepts of Physics Part 1

The variation of Physics - Exemplar

A solid sphere, aHC Verma - Concepts of Physics Part 1

A cubical block oHC Verma - Concepts of Physics Part 1