static homework

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Module 7: Chapter 7 – Internal Forces 1. Determine the internal shear force and moment acting at point C in the beam. 2. Draw the shear and moment diagrams for the cantilevered beam. 3. Draw the shear and moment diagrams for the beam. 4. Draw the shear and moment diagrams for the beam. 2 5. Determine the tension in each segment of the cable and the cable’s total length. Module 8: Chapter 8 – Friction 6. The 180 lb man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the inclination θ of the ladder if the coefficient of static friction between the friction pad A and the ground is µs = 0.4. Assume the wall at B is smooth. The center of gravity for the man is at G. Neglect the weight of the ladder. 3 7. A worker walks up the sloped roof that is defined by the curve 𝑦 = (5𝑒 0.01𝑥 ) ft, where x is in feet. Determine how high h he can go without slipping. The coefficient of static friction is µs = 0.6. 8. Determine the smallest force P that must be applied in order to cause the 150 lb uniform crate to move. The coefficient of static friction between the crate and the floor is µs = 0.5. 9. Determine the maximum and the minimum values of weight W which may be applied without causing the 50 lb block to slip. The coefficient of static friction between the block and the plane is µs = 0.2, and between the rope and the drum D is µ’s = 0.3. 4 10. The vehicle has a weight of 2600 lb and center of gravity at G. Determine the horizontal force P that must be applied to overcome the rolling resistance of the wheels. The coefficient of rolling resistance is 0.5 in. The tires have a diameter of 2.75 ft. 5
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