Finding tension of a swinging mass

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AI Thread Summary
To find the tension in the string of a swinging mass, it's essential to apply the principles of conservation of energy and analyze forces acting on the mass. The tension at the bottom of the swing can be calculated using the centripetal force equation, factoring in gravitational force and the mass's velocity. At an angle of 15 degrees, the tension must also consider the component of gravitational force acting along the swing. A free body diagram is crucial for visualizing the forces and their components. Understanding these concepts will guide the calculations for both scenarios.
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Homework Statement


A m = 5kg monkey swings on a vine the length l = 4m. His initial angle is theta = 25 degrees and he is moving at v = 2 m/s at the instant he begins his swing.
a. What is the tension in the string at the bottom?
b. What is the tension in the string at theta = 15 degrees?
Here's a picture of the diagram, not necessary but makes it easier
mt2vU.jpg


Homework Equations


I'm not really sure but here's a few.
k = (1/2)mv^2 + mgh
u = mgh

The Attempt at a Solution


I have no idea how to involve the theta into the equation, so I can't even really get started. Sorry for being so bad at physics :( If it helps, at the moment we're learning about the conservation of energy, in kinetic and potential energy. Thank you for reading.
 
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Do You know the meaning of equations you wrote?
 
Start with the free body diagram.
 
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