maximum tilt angle

Question

A rod (7 m long and weighing 50 kg) is placed. The vertical wall is free of friction whereas on the ground the friction coefficient is 0.2. Which is the maximum tilt angle between the rod and the ground so that the rod remains in equilibrium

Answer 1

The steps to solve a problem like this:

First, draw a picture and label all of the forces.

If the object is stationary, then several things are true:

--the sum of vertical forces on the object is 0

--the sum of horizontal forces on the object is 0

--the sum of the moments is zero

Vertical forces:

-Down: gravity

-Up: ground pushing up

Horizontal forces:

-Wall pushing the object

-Friction force pushing the object towards the wall (note that this is the "up force" times the coefficient of friction.)

Moments: Using the contact with the ground as the fulcrum. (get the lever arm using trig formulas and the angles)

-wall pushing the object

-object pushing the wall

-force of gravity

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