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- Homework Statement
- A bob of mass m is suspended from a fixed point with a massless string of length L. You are to investigate the motion in which the string moves in a cone with half-angle, 𝜃. Express your answers in terms of some or all of the variables m, L, and 𝜃, and g.

v = √Lgsin𝜃tan𝜃

How long does it take the bob to make one full revolution (one complete trip around the circle)?

- Relevant Equations
- T = 2πr / v

r = Lsin𝜃

hi ! I'm having a lot of trouble simplifying my expression for one of my homework questions. I know someone asked about this homework problem already, but the answers didn't really help me figure out how to simplify it.. I really have no idea what steps to take, and I've even consulted all my math notes too.

T = 2πLsinθ / √(Lgsinθtanθ)

T = 2πLsinθ * √(Lgsinθtanθ) / Lgsinθtanθ

T = 2π * √(Lgsinθtanθ) / gtanθ

[ 2π * √(Lgsinθtanθ) ] / gtanθ

2π * √( Lcosθ / g )thank you in advance

**my expression for T is:**T = 2πLsinθ / √(Lgsinθtanθ)

T = 2πLsinθ * √(Lgsinθtanθ) / Lgsinθtanθ

T = 2π * √(Lgsinθtanθ) / gtanθ

*final answer*[ 2π * √(Lgsinθtanθ) ] / gtanθ

**the correct answer should be:**2π * √( Lcosθ / g )thank you in advance