Q. 215.0( 3 Votes )

A block of mass m is kept on a horizontal ruler. The friction coefficient between the ruler and the block is μ. The ruler is fixed at one end and the block is at a distance L from the fixed end. The ruler is rotated about the fixed end in the horizontal plane through the fixed end. (a) What can the maximum angular speed be for which the block does not slip? (b) If the angular speed of the ruler is uniformly increased from zero at an angular acceleration a, at what angular speed will the block slip?

Answer :

When the system rotates the block will experience centrifugal force which will be balanced by friction. Normal reaction will be balance the force of gravitation.




When there comes some amount of acceleration, friction starts working in the opposite direction of motion.

Here, radial acceleration will be due to centrifugal force.

The tangential acceleration will be,

It will start slipping as soon as the friction reaches its maximum value,

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Vetical Circular Motion52 mins
Circular Motion | Understanding the revoloving body53 mins
Goprep Genius Quiz | Circular Motion39 mins
Circular Motion | Get the Basics44 mins
Uniform circular motion and centripetal force - Understanding a revolving body53 mins
Circular permutationsFREE Class
Projectile Motion41 mins
Interactive Quiz on Circular permutationsFREE Class
Pseudo ForceFREE Class
Elaborative Lecture on Constraint Motion59 mins
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
view all courses