Pendulums with Mechanical Energy (conical pendulum?)

AI Thread Summary
The discussion centers on determining the height from which a pendulum bob must be released to ensure it circles a rod while keeping the string taut. Key concepts include the conversion of gravitational potential energy to kinetic energy, with the equations mgh = 1/2mv^2 being relevant. The challenge lies in understanding how the rod's position affects the pendulum's motion and the necessary release height. The user expresses confusion about the specifics of the problem, particularly regarding the rod's role and the required height for the bob to complete its motion. Overall, the conversation highlights the complexities involved in analyzing pendulum dynamics in this scenario.
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Homework Statement



The pendulum bob in Figure 6.11 must circle
the rod interrupting its swing, and the string
must remain taut at the top of the swing. How
far up must the bob be raised before releasing
it to accomplish these goals?

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Homework Equations



Potential Energy = mgh
Kinetic Energy = 1/2mv^2
mgh = 1/2mv^2

The Attempt at a Solution



I'm still unclear with what the question is asking for or how I'm suppose to solve it; though I'm guessing it deals with the conversion of kinetic energy into gravitational potential energy and maximum height. How the rod play into the question, or what the distance from the rod to the pendulum bob means, I've no idea. This sounds awfully similar to a conical pendulum, which a quick wikipedia search showed as pretty complicated.
So, how do?
 
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When the string hits the rod, it the bob will start circling the rod in a 10 cm radius circle. It won't reach the point 10 cm above the rod unless you release it from high enough. How high is 'high enough'?
 
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