If a mass (m) at the end of a length (L) on a pendulum starts at an angle of θ from the vertical, what is the minimum inital velocity v(adsbygoogle = window.adsbygoogle || []).push({}); _{0}it must have to just barely make it over the top and not oscillate?

This is what I did:

[tex]\Delta K=mgh\implies v_0=\sqrt{v^2-2gh}[/tex]

but at the top, v is zero so it can be written as:

[tex]v_0=\sqrt{-2gh}[/tex]

and h in this case is L+Lcosθ, so using g=-10m/s^{2}I get:

[tex]v_0=\sqrt{20L\left(1+\cos{\theta}\right)}[/tex]

but whenever I plug in values for θ and L, I get thewronganswer. I can't see what I did wrong.

Any ideas?

Thanks a lot.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Pendulum without oscillation

**Physics Forums | Science Articles, Homework Help, Discussion**