A uniform plank of wood with mass M and length, rests against the top of a free-standing wall which has height h and a frictionless top. The plank makes an angle with the horizontal. On the picture on the right, draw a free body diagram for the plank. g M Wall ) In the boxes below, write a complete set of independent equations which when solved give the minimum value of 8 for which the plank will not slip. Express your equations in terms of only Me, h, g, and us, the coefficient of static friction between the plank and the floor. Do not solve the equations.

A uniform plank of wood with mass M and length, rests against the top of a free-standing wall which has height h and a frictionless top. The plank makes an angle with the horizontal. On the picture on the right, draw a free body diagram for the plank. g M Wall ) In the boxes below, write a complete set of independent equations which when solved give the minimum value of 8 for which the plank will not slip. Express your equations in terms of only Me, h, g, and us, the coefficient of static friction between the plank and the floor. Do not solve the equations.