A uniform beam of mass m and length L leans against a rough wall as shown below. The coefficients of static friction between the beam and the floor, and between the beam and the wall, are μf=0.50 and μw=0.30 , respectively. Assume the beam is on the verge of slipping and stability is ensured if θ≥θmin, given by
![](https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/33191337-0013-43ee-8251-85f6cf30b6d4)
Calculate the true value of θmin. Then, assuming the wall is frictionless (μw=0), the expected value of θmin is 45∘. Determine the percentage error between the true value and the frictionless wall approximation.
![](https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/346b49df-eba6-4fc0-9c01-a64b09ea72e0)