If the coefficient of friction between the steel wedge and the moist fibers of the newly cut stump is 0.23, determine the maximum angle a which the wedge may have and not pop out of the wood after being driven by the sledge.
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- You place a 15.0-m long, 22-kg uniform ladder against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. There is a lot of slippery mud so naturally you are worried about the ladder slipping. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?A cargo ship is loading using a boom crane, which is a 15 m long pole with a cable for lifting cargo which is suspended from the end of the pole. The boom is raised via a cable attached at a point that is 2/3 of the distance to the end of the pole. At one point the crane is lifting an 900 kg crate with the pole making a 30 degree angle with the horizontal, while the cable makes a 40 degree angle with the horizontal. Estimate the tension on the cable.Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cm
- A 20.0 m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder of aluminum 3.50 cm in diameter. A strong wind bends the pole much as a horizontal force of 900 N exerted at the top would. How far to the side (in mm) does the top of the pole flex?Please help meIn a city park a nonuniform wooden beam 4.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0° with the vertical and has tension 620 N. The cable at the right-hand end of the beam makes an angle of 50.0° with the vertical. As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam and the location of its center of gravity.