Hi, I need some help with a question involving forces. I will appreciate greatly if someone can please have a look at this. Thanks.(adsbygoogle = window.adsbygoogle || []).push({});

Question: A 2.00 kg mass, which is attached to a string of radius [tex]r[/tex], travels in a vertical circle. When the string makes an angle of [tex]\theta=52^o[/tex] with the horizontal, the speed of the mass is [tex]2.31m/s[/tex] and the tension in the string is [tex]31.6N[/tex]. Calculate the radius of the string, [tex]r[/tex].

Diagram

I tried by drawing a free body diagram on the mass, labelling two forces acting on it, the force of gravity and the tensile force.Code (Text):

Center

------------+--------------

\ 52 degrees

\

\

\ string

\

\

\

O mass

I'm really not sure on how to solve it, but I'm guessing the vertical component of the force of tension - the weight = the vertical component of the centripetal force. Am I close? If not, may someone please give me a hand. Thank You.

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# Drawing a free body diagram on the mass

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