Answer: 43 degrees
Explanation:
The force of the crutch can be broken into components. The horizontal component of F is the static friction force keeping the crutch from sliding. The vertical component is opposing the weight and is the Normal force. Using the orientation of the angle q, we have the following
fs = Fx = F sin (angle (tita))
N = Fy = F cos (angle(tita))
Maximum angle implies maximum static friction
Therefore,
fsmax = UsN = Us x F cos(angle tita)
Where U = miyu
F sin(angle tita) = Us x Fcos (angle tita)
Sin (angle tita) / cos (angle tita) = Us
Therefore, tan (angle tita) = Us
Angle tita = tan^-1(Us) = tan^-1 (0.931) = 42.95 degrees = 43 degrees
There for Angle tita Max = 43 degrees
