- #1

Joshd99

## Homework Statement

A bar of uniform density, length L, and mass m is suspended by two ropes of tensions T1 and T2 at either extremity of the bar. The bar is tilted such that it makes an angle θ with the ropes. A mass M is resting at a distance l from T1.

https://i.imgur.com/vLlAJbe.png

If m=17.7kg, M=12.4kg, the angle θ=24.9, and the magnitude T1 is twice as large as T2, what is the distance l in units of L?

## Homework Equations

Tnet = 0

Fnet = 0

## The Attempt at a Solution

I started off by setting the pivot point at the end of the bar on the side of T1, and therefore the net torque equation should become Mg*l + mg*L/2 - Ft2sinθ*L = 0.

Next I set the net force equation as Ftcosθ + 2*Ftcosθ - mg - Mg = 0

Unsure of how to solve the question as I'm stuck with 2 equations and 3 unknowns L l and Ft