Table of Contents

- 1 Why is tension greatest at the bottom of a vertical circle?
- 2 Is tension greater at the top or bottom of a circle?
- 3 How do you find the tension in a vertical circle?
- 4 What is the tension at the top of a circle?
- 5 Why is the tension largest at the lowest point?
- 6 What is meant by vertical circular motion?
- 7 What is the velocity of stone when string is horizontal?
- 8 Which object is whirling in a vertical circle at constant angular speed?

## Why is tension greatest at the bottom of a vertical circle?

Tension and gravity are NOT “in the same direction”. The tension in the rope is always directed toward the middle of the circle. At the bottom, that means tension is UPWARD while gravitational force is directed DOWNWARD.

### Is tension greater at the top or bottom of a circle?

The tension of the string when the stopper is at the top of the circle is less than the tension of the string when the stopper is at the bottom of the circle.

**Where is tension the least in a vertical circle?**

Tension in a vertical circle is maximum at lowest point. Hence, speed of the object is 6.26 m ⁄ s.

**Is tension zero at the top of a vertical circle?**

Since the tension force cannot become a force that points away from the circle, it must be that the minimum of T is 0. Therefore, to determine the minimum velocity needed at the top of the circle for circular motion to still occur, it must be that T=0.

## How do you find the tension in a vertical circle?

Motion in a Vertical Circle

- For a mass moving in a vertical circle of radius r = m,
- For a velocity at the top vtop = m/s.
- the velocity at the bottom is vbottom = m/s.
- For a mass m = kg,
- the tension at the top of the circle is Ttop = Newtons.
- The corresponding tension at the bottom of the circle is Tbottom = Newtons.

### What is the tension at the top of a circle?

In the circle, all bodies have minimum velocity at the lowest point, and the rope or string becomes slack at the topmost point of the circle. Tension at top T=mVT2R−mg. , where VT is the particle speed at the topmost point. For minimum VT, T=0. Hence, VT=√gR.

**What is the tension difference in vertical circular motion between top and bottom position of particle?**

now, difference in tension at lowest and uttermost point for a particle performing vertical circular motion = T’ – T = 6mg.

**Does tension change in vertical circular motion?**

When studying the motion of a body in a vertical circle we have to consider the effect of gravity. Due to the influence of the earth’s gravitational field, the magnitudes of the velocity of the body and tension in the string change continuously. It is maximum at the lowest point and minimum at the highest point.

## Why is the tension largest at the lowest point?

Solution: At the bottom-most point, the centrifugal force acts vertically downward and the weight of the body acts vertically downward. Thus the tension in the string is maximum.

### What is meant by vertical circular motion?

A body revolves in vertical circle such that its motion at different points is different then the motion of the body is said to be vertical circular motion. consider an object of mass tied at one end of a mass m tied at one end of an int extensible string and whirled in a vertical radius of radius r.

**How does a whirling stone whirl around a circle?**

Whirling stone in vertical circle. A stone, attached to one end of an inelastic string whirls around in a vertical circle of 1.0 m radius. The tension in the string when the stone is at the bottom of the circle is found to be four times the tension in the string when the stone is at the top.

**What happens when a stone is attached to an inelastic string?**

A stone, attached to one end of an inelastic string whirls around in a vertical circle of 1.0 m radius. The tension in the string when the stone is at the bottom of the circle is found to be four times the tension in the string when the stone is at the top.

## What is the velocity of stone when string is horizontal?

Ans: Velocity of stone at the lowermost point = 7 m/s, Velocity of stone when string is horizontal = 5.42 m/s, Velocity of stone at topmost point = 3.13 m/s, Tension at lowermost point = 58.8 N, Tension when string is horizontal = 0 N, Tension at topmost point = 29.4 N

### Which object is whirling in a vertical circle at constant angular speed?

An object of mass 0.5 kg attached to a string of length 0.5 m is whirled in a vertical circle at constant angular speed if the maximum tension in the string is 5 kg wt. Calculate the speed of the object and maximum number of revolutions it can complete in one minute