Physics Homework Help: Finding String Tension in Vertical Circular Motion

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To find the tension in the string when the mass is at the bottom of its swing, consider the forces acting on the mass, including gravitational force and centripetal force. The mass of 100 g and the speed of 4.00 m/s at the top of the swing indicate that energy conservation principles can be applied. At the top, the gravitational potential energy is converted to kinetic energy as the mass moves to the bottom. The tension in the string at the bottom must account for both the centripetal force needed to keep the mass moving in a circle and the weight of the mass. Using these principles, the tension can be calculated effectively.
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Homework Statement



A mass of 100 g is tied to the end of an 80.0 cm string and swings in a vertical circle about a fixed center under the influence of gravity. The speed of the mass at the top of the swing is 4.00 m/s. What is the tension in the string when the mass is at the bottom of its swing?

Homework Equations





The Attempt at a Solution



I really don't even know where to start! Please help.
 
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HINT: Don't worry about solving for speed as a function of angle or height, etc. (although you could). Think energy! What is it at the top? What must it be at the bottom? Now you can ask how fast it's going and what is the tension.
 

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