1. State two conditions that must be satisfied for the static equilibrium to take place. Does it matter which point you choose as the pivot point about which you calculate all torques?

1. State two conditions that must be satisfied for the static equilibrium to take place. Does it matter which point you choose as the pivot point about which you calculate all torques?

2. The horizontal beam in the figure below weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and vertical components of the force exerted on the beam at the wall.

3. Find the tension in each cable and the magnitude and direction of the force exerted on the strut by the pivot in the arrangement shown below. Let W be the weight of the suspended crate. The strut is uniform and also has weight W. Start with a free body diagram.

4. The system in the figure below is in equilibrium with the string in the center exactly horizontal. Find (a) tension T₁, (b) tension T₂, (c) tension T₃ and (d) angle q.

5. A ladder having a uniform density and a mass m rests against a frictionless vertical wall at an angle of 60. The lower end rests on a flat surface where the coefficient of static friction is m_S = 0.4. A student with a mass M = 2m attempts to climb the ladder. What fraction of the length L of the ladder will the student have reached when the ladder begins to slip?

6. The system in figure below is in equilibrium. A mass of 255 kg hangs from the end of the uniform strut whose mass is 45 kg. Find (a) the tension T in the cable and the (b) horizontal and (c) vertical force components exerted on the strut by the hinge.

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