Question

If a stone is tied to one end of the string and whirled in vertical circle...

If a stone is tied to one end of the string and whirled in vertical circle such that it rotates with constant speed, then the tension in the string is minimum at

Homework Answers

Answer #1

If a stone tied to one end of the string and whirled in vertical circle such that it rotates with constant speed, then the tension at any point is given by :

T = mv^2/R + mg cos (theta)

Where theta is the angle made by the position with negative y axis .

Now minimum value for T is possible when cos(theta) is minimal that is -1.

Now , -1 value for cos(theta) is possible if theta is 180 degree and thus this 180 degree is possible when the stone is at top most point of the vertical circle.

Thus , tension in the string is minimum at TOP MOST POINT IN THE VERTICAL CIRCLE.

Please ask your doubts or queries in the comment section below.

Please kindly upvote if you are satisfied with the solution.

Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A stone is tied to a string (length = 0.880 m) and whirled in a circle...
A stone is tied to a string (length = 0.880 m) and whirled in a circle at the same constant speed in two different ways. First, the circle is horizontal and the string is nearly parallel to the ground. Next, the circle is vertical. In the vertical case the maximum tension in the string is 14.0% larger than the tension that exists when the circle is horizontal. Determine the speed of the stone.
A 440 g mass is whirled in a circle at the end of a string of...
A 440 g mass is whirled in a circle at the end of a string of length L = 82 cm in a horizontal circle. The string makes an angle of 65° with the vertical. What is the speed of the mass?
A stone of mass 500g is attached to a string of length 50 cm which will...
A stone of mass 500g is attached to a string of length 50 cm which will break if the tension exceed 20N. The stone is whirled in a vertical circle. The angular speed is slowly increased until the string breaks. Draw a diagram to show the forces acting on the stone in a vertical circle when it is at its higest and lowest points. By suggesting a reason for your answer, state in what position along the vertical circular path...
A 0.17-kg ball on a stick is whirled on a vertical circle at a constant speed....
A 0.17-kg ball on a stick is whirled on a vertical circle at a constant speed. When the ball is at the three o’clock position, the stick's tension is 19 N. Find the tension in the stick when the ball is (a) at the twelve o’clock and (b) at the six o’clock positions.
A 0.18-kg ball on a stick is whirled on a vertical circle at a constant speed....
A 0.18-kg ball on a stick is whirled on a vertical circle at a constant speed. When the ball is at the three o’clock position, the stick's tension is 16 N. Find the tension in the stick when the ball is (a) at the twelve o’clock and (b) at the six o’clock positions.
A stone of mass 0.2 kg is tied to a string of length 0.8m. If your...
A stone of mass 0.2 kg is tied to a string of length 0.8m. If your hold the end of this string in your hand and whirl the stone around a circle at the rate of 2 revolutions per second, what is the tension (Force) in the string? Ignore the gravity. 20 N 25 N 10 N 45 N
A 300g rock tied to a string is rotated in a vertical circle (up and down,...
A 300g rock tied to a string is rotated in a vertical circle (up and down, so gravity is important) with radius 0.5m. Model the rock as a point particle. If a torque of 2Nm is applied for 3s, what is the rotation rate of the rock? What is the tension in the string at the top of the circle?
A 0.17-kg ball on a stick is whirled on a vertical circle at a constant speed....
A 0.17-kg ball on a stick is whirled on a vertical circle at a constant speed. When the ball is at the three o'clock position, the stick's tension is 15 N. (a) Find the tension in the stick when the ball is at the twelve o'clock position. (b)Find the tension in the stick when the ball is at the six o'clock position.
A bucket of mass 2.00 kg is whirled in a vertical circle of radius 1.20 meters....
A bucket of mass 2.00 kg is whirled in a vertical circle of radius 1.20 meters. At the lowest point of its motion the tension in the rope supporting the bucket is 20.0 N. A) Find the speed of the bucket at its lowest point. B) Find the minimum speed of the bucket at the top of the circle so that the rope will not slack?
A ball swings in a vertical circle at a constant speed at the end of a...
A ball swings in a vertical circle at a constant speed at the end of a 1.5-m-long string. When the ball is at the top of the circle, the tension is 10N, at the bottom the tension is 50N. a) What is the mass of the ball? b) What is the speed of the ball?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT