One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle theta with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. Set up equations for net force and net torque and then find the maximum value theta can have if the stick is to remain at equilibrium.

When opening a door, you push on it perpendicularly with a force of 67.5 N at a distance of 0.775 m from the hinges. What torque, in newton meters, are you exerting relative to the hinges?

(a) When opening a door, you push on it perpendicularly with a force of 44.0 N at a distance of 0.780 m from the hinges. What torque (in N-m) are you exerting relative to the hinges? (Enter the magnitude.) N-m (b) Does it matter if you push at the same height as the hinges? O Yes O No

For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3