What is the tension of a rotating object on a string?

In summary, the problem involves an object with mass M that is being whirled with constant speed v on the end of a string in a horizontal circle of radius R. The string makes an angle (theta) with the horizontal and the tension of the string is T. To find the tension in terms of the given variables and g, it is recommended to draw a vector diagram and split the tension into mutually perpendicular vectors. A force-body diagram of the object can also be helpful in solving the problem.
  • #1
Shotty
4
0
An object with mass M is whirled with constant speed v on the end of a string in a horizontal circle of radius R. the string makes an angle, (theta) with the horizontal. The tension of the string is T.

Find the tension of the string in terms of any of the given variables and g.

Please help, I am lost with this problem

Thanks,
Brian
 
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  • #2
Tension is a vector. Draw a vector diagram of the Tension acting at an angle. Then you can split it into mutually perpendicular vectors. Then go from there.

(That horizontal circle confuses me a bit)
 
  • #3
Draw a FBD of the object. Then F_H=ma
 
  • #4
See, i need to find out when the angle of the string is x degrees below horizontal, what would the tension be?
 
  • #5
Oh, and srry, i do realize now this is in the wrong area :)
 

FAQ: What is the tension of a rotating object on a string?

How does the rotational motion of an object on a string work?

When an object is attached to a string and allowed to rotate, it experiences a centripetal force that keeps it moving in a circular path. This force is provided by the tension in the string, which acts towards the center of the circle.

What factors affect the rotational motion of an object on a string?

The rotational motion of an object on a string can be affected by various factors such as the length of the string, the mass of the object, and the speed of rotation. These factors can alter the centripetal force acting on the object and change its rotational motion.

Can the rotational motion of an object on a string be used to measure its velocity?

Yes, the rotational motion of an object on a string can be used to measure its velocity. By knowing the length of the string and the time it takes for the object to complete one rotation, the speed of the object can be calculated using the formula v = 2πr/T, where r is the radius of the circle and T is the time period.

What happens to the rotational motion of an object on a string when the string is shortened?

Shortening the string will decrease the radius of the circle and therefore increase the centripetal force acting on the object. This will cause the object to rotate at a higher speed and with a smaller radius, resulting in a tighter circular path.

Is it possible to have an object rotate on a string without a centripetal force?

No, it is not possible to have an object rotate on a string without a centripetal force. Without this force, the object would move in a straight line rather than a circular path. The tension in the string provides the necessary centripetal force to keep the object in circular motion.

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