- #1
vu10758
- 96
- 0
A traffic light hangs from a structure shown at http://viewmorepics.myspace.com/index.cfm?fuseaction=viewImage&friendID=128765607&imageID=1460004546
The uniform aluminum pole has a mass of 8 kg and is 7.5m long. The traffice light has a mass of 5kg. The cables are massless. Cable 1 is connected 6.31m from the hinge. Find the tension in both cables and hte horizontal and vertical components of the reaction force at the hinge.
I know that for rope two, T-M_2*g = 0
However, I don't know what to do for the pole. It has mg pulling down, but Tension from rope 1 is horizontal. There must be something to balance it but what? Same with rope 1. I can't find something to balance t1 from rope 1.
I know that torque is force times radius. The total torque here is zero since it is not rotating.
T_t1 - T_mg + T_t2 - T_m2*g = 0
However, I am missing relationships between the forces.
The uniform aluminum pole has a mass of 8 kg and is 7.5m long. The traffice light has a mass of 5kg. The cables are massless. Cable 1 is connected 6.31m from the hinge. Find the tension in both cables and hte horizontal and vertical components of the reaction force at the hinge.
I know that for rope two, T-M_2*g = 0
However, I don't know what to do for the pole. It has mg pulling down, but Tension from rope 1 is horizontal. There must be something to balance it but what? Same with rope 1. I can't find something to balance t1 from rope 1.
I know that torque is force times radius. The total torque here is zero since it is not rotating.
T_t1 - T_mg + T_t2 - T_m2*g = 0
However, I am missing relationships between the forces.