A uniform board of length 2.4 m and mass m = 5.1 kg has one end on the ground. With the aid of a horizontal force applied at the upper end by means of an attached horizontal rope, the board is held at an angle θ with respect to the vertical The coefficient of static friction between the end of the board and the ground is µs = 0.36.
What is the range of angles the board can make with the vertical and still be in static equilibrium?
How does the tension in the rope vary with the angle within the angle's possible range?
The Attempt at a Solution
Ok they want the minimum angle, i found the max angle and the tension at the max angle, my question is that doesn't Tension stay the same since the length of the board is constant and normal force has to be present and equal to Mg? wouldn't the tension be the same at any angle?