Answer:
a) T = 98.26 [N]
b) μ = 0.247
Step-by-step explanation:
This problem can be solved by applying Newton's third law, which corresponds to the study of static. First we must make a free body diagram, in this diagram locate the forces acting on the bar. Then deduce the equilibrium equations according to the developed forces.
The angle between the bar and the rope is calculated using the given dimensions.
We must take into account the forces exerted by the wall on the bar, in the free body diagram we can see these forces.
By summing forces in the x-axis, we can find an equation of T depending on the normal Force N.
Then by summing forces on the Y axis we can find an equation that relates the T Force to the friction force Ff.
We can find a third equation, doing a sum of moments on the wall, this way forces N and Ff are not included, and we can find the T tension force.
Once the value of T is determined, the value of normal force N and friction force Ff can be found.
As we know that friction force is defined as the product of the coefficient of friction by normal force, with the value of normal force N and friction Ff, we can find the value of the coefficient of friction
In the attached image, we have the Free body diagram and the equations related.
T = 98.26 [N]
μ = 0.247