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

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To determine the tension in a string holding a mass M that is rotating in a horizontal circle at a constant speed v, one must analyze the forces acting on the object. The tension T can be resolved into horizontal and vertical components, which can be represented using a vector diagram. The horizontal component relates to the centripetal force required for circular motion, while the vertical component must balance the weight of the object. A free body diagram (FBD) can aid in visualizing these forces and understanding the relationship between the angle of the string and the tension. Properly applying these principles will lead to the solution for the tension in terms of the given variables and gravitational acceleration g.
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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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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)
 
Draw a FBD of the object. Then F_H=ma
 
See, i need to find out when the angle of the string is x degrees below horizontal, what would the tension be?
 
Oh, and srry, i do realize now this is in the wrong area :)
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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