Q. 264.7( 7 Votes )

A stone of mass m tied to the end of a string revolves in a vertical circle of radius R.

The net forces at the lowest and highest points of the circle directed vertically downwards are: [Choose the correct alternative]



T1 and v1 denote the tension and speed at the lowest point. T2 and v2 denote corresponding values at the highest point.

Answer :

Given:

Mass of body = m Kg


Radius of vertical circle = R m


From the free body diagram of body at lowest point, we can write,



According Newton’s 2nd law of motion,


Fnet = mg-T


Fnet = mv12/R (Centrifugal force)


mg-T = mv12/R …(1)


Where,


v1 = Velocity at lowest point.


m = mass of body


R = radius of path


T = tension in string


From the free body diagram of body at highest point , we can write,



Fnet = T + mg


Fnet = mv22/ R


Where,


v2 = velocity of body at highest point,


T + mg = mv22/ R …(2)


From equation (1) and (2) we conclude that option (1) is correct.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pseudo ForcePseudo ForcePseudo Force52 mins
Elaborative Lecture on Constraint MotionElaborative Lecture on Constraint MotionElaborative Lecture on Constraint Motion59 mins
Pully Problems | Getting JEE ReadyPully Problems | Getting JEE ReadyPully Problems | Getting JEE Ready68 mins
Challenging Quiz on Newton Laws of Motion Part 1Challenging Quiz on Newton Laws of Motion Part 1Challenging Quiz on Newton Laws of Motion Part 170 mins
Escaping the reality - Concept of Pseudo ForceEscaping the reality - Concept of Pseudo ForceEscaping the reality - Concept of Pseudo Force54 mins
Concept of Linear momentum and its conservationConcept of Linear momentum and its conservationConcept of Linear momentum and its conservation40 mins
Interactive Quiz on Laws Of MotionInteractive Quiz on Laws Of MotionInteractive Quiz on Laws Of Motion67 mins
Challenging Quiz on Newton Laws of Motion Part 3Challenging Quiz on Newton Laws of Motion Part 3Challenging Quiz on Newton Laws of Motion Part 364 mins
Tips &Tricks in Laws Of MotionTips &Tricks in Laws Of MotionTips &Tricks in Laws Of Motion52 mins
Free body diagrams for interconnected bodiesFree body diagrams for interconnected bodiesFree body diagrams for interconnected bodies50 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
caricature
view all courses