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You are trying to ride on a uniform ladder with length (l=6m) and mass (m=16kg) that...

You are trying to ride on a uniform ladder with length (l=6m) and mass (m=16kg) that is leaning against a smooth wall that makes an angle of (theta = 20 degrees) what is the vertical wall. Assuming that the ground is rough with coefficient of static friction, and you are standing 3/4 of the way up with mass (m=76kg)

i) draw the Freebody diagram with all the vector forces

ii) write down the static equilibrium equations with forces and torque with a define coordinate system

iii) find an expression of static friction in terms of m,M,l, and theta at the base of the ladder if the ladder is not to slip and then find its value

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