# Hanging sign, torque and pivot points

## Homework Statement

There is a sign of mass M that is attached to a rigid bar perpendicular to the ground. There is also a rope attached to the sign at the same point, then pulled out at an angle 45 degrees below the horizontal up to the ceiling.

a) Consider the rigid bar to be at equilibrium while the sign is hanging. What are the net force (in Newtons) and the net torque (in N m) acting on the bar?

b) Identify all forces that act on the bar. Write out an equation for the net force on the bar.

c) Choose the point where the bar meets the wall as a pivot point. Write out an equation for the net torque on the bar about that point.

d) Determine the magnitude of the tension in the rope. Take the mass of the sign to be 25kg, the mass of the bar is 5kg, and the length of the bar is 2m.

e) We could choose any point as the pivot and still get the same net torque. Why was the choice in part c a good choice for the pivot?

## Homework Equations

T_net = Ia
when in equilibrium,
-- F_net = 0
-- T_net = 0

## The Attempt at a Solution

I got that, for (a), these are both equal to zero, as the bar is in equilibrium...don't know where to go from here.