Finding ω and T of a Pendulum With No Numbers

[NilliNilli]

Homework Statement

All this problem says is to find ω and T of a pendulum with a length L and mass m.
There's a picture of a pendulum labeling the arc length, length, mass, and angle θ with just symbols.

Homework Equations

The Attempt at a Solution

I tried solving algebraically to find T using ƩF_y=T-mg=0. I don't know if I made any real progress; I'm not very good at these kinds of problems. I need numbers to really understand these kinds of problems. I'm almost concerned that the correct answer might be a number.

 

[SteamKing]

Do you know what the variable symbols mean? What is T for instance?

 

[NilliNilli]

T is tension. ω is angular velocity. It uses θ for the angle, s for arc length, L for length of the rope/string of the pendulum, and m for mass.

 

[NilliNilli]

There's a possibility I'm over-thinking it. My instructor likes to go all-out with some questions, but this might just be him checking out understanding. I'm not sure.

 

[haruspex]

T is tension. ω is angular velocity. It uses θ for the angle, s for arc length, L for length of the rope/string of the pendulum, and m for mass.

Drawing the free body diagram for the pendulum bob when the pendulum is at angle θ to the vertical, what expression do you get for the tension?

 

[SteamKing]

Are you sure T stands for tension? Are pendulums important in physics because they measure tension?