At 0∘C∘C, a cylindrical metal bar with radius r and mass MM is slid snugly into a circular hole in a large, horizontal,

[answerhappygod]

At 0∘C∘C, a cylindrical metal bar with
radius r and mass MM is slid snugly into a
circular hole in a large, horizontal, rigid slab of
thickness dd. For this metal, Young's modulus
is Y and the coefficient of linear expansion
is α. A light but strong hook is attached to the
underside of the metal bar; this apparatus is used as part of a
hoist in a shipping yard. The coefficient of static friction
between the bar and the slab is μs. At a
temperature T above 0∘C, the hook is attached
to a large container and the slab is raised.
What is the largest mass the container can have without the
metal bar slipping out of the slab as the container is slowly
lifted? The slab undergoes negligible thermal expansion.
Express your answer in terms of the variables α,
d, r, M, μs, r, T, Y, and g.