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.
PREVIOUSFigure 5.18 shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with 1 m s-2. What is the net force on the man? If the coefficient of static friction between the man’s shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt?(Mass of the man = 65 kg.)Fig 5.18NEXTA helicopter of mass 1000 kg rises with a vertical acceleration of 15 m s-2. The crew and the passengers weigh 300 kg. Give the magnitude and direction of theA. force on the floor by the crew and passengers,B. action of the rotor of the helicopter on the surrounding air,C. force on the helicopter due to the surrounding air.
Related Videos
Pseudo Force52 mins
Elaborative Lecture on Constraint Motion59 mins
Pully Problems | Getting JEE Ready68 mins
Challenging Quiz on Newton Laws of Motion Part 170 mins
Escaping the reality - Concept of Pseudo Force54 mins
Concept of Linear momentum and its conservation40 mins
Interactive Quiz on Laws Of Motion67 mins
Challenging Quiz on Newton Laws of Motion Part 364 mins
Tips &Tricks in Laws Of Motion52 mins
Free body diagrams for interconnected bodies50 mins




















Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Figure 5.9 shows (vx ,t ),and( (vy ,t) diagrams for a body of unit mass. Find the force as a function of time.
Physics - Exemplar