Fig. P8.24
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End A of a slender, uniform rod of length L and weight W bears on a surface as shown, while end B is supported by a cord BC Knowing that the coefficients of friction are µs = 0.40 and µk = 0.30, determine (a) the largest value of 6 for which motion is impending, (b) the corresponding value of the tension in the cord.
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- A meter stick with a mass of 0.35 kg is held perpendicular to a vertical wall by a cord of length d = 4.3 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. (b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? greater than less than O the same asA man of weight W is on the top of a symmetric two-legged ladder, which is standing on a horizontal surface, as it is shown in the figure. The length of the ladder is L. There is a chain of length a, attached between the bottom third points of the legs, which prevents the collapse of the ladder. (a) Determine the tension T in the chain assuming that the floor is very slippery. (b) Determine the minimal static friction coefficient forwhich the ladder does not collapse even without thechain. In both cases calculate with symbols, and give the numerical result for L = 5 m, W = 800 N, a = 1.5 m.A long, uniform 2 kg rod of length 1.8 m is supported at the left end by a horizontal axis into the page and perpendicular to the rod, as shown. The right end is connected to the ceiling by a thin vertical thread so that the rod is horizontal. Thread 1.8 m Horizontal Аxis 2 kg Determine the magnitude of the force ex- erted on the rod by the axis. The acceleration of gravity is 9.8 m/s² , and the moment of in- ertia of the rod about the axis at the end of the rod is 3 Answer in units of N.
- A straight rigid ladder of length 3.00 m leans against a frictionless vertical wall. The laddermakes an angle of 60.0° with respect to the horizontal floor. What is the minimum value of thecoefficient of static friction between the ladder and the floor that prevents the ladder from slipping?A loaded penguin sled weighing 68.0 N rests on a plane inclined at angle θ = 18.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.290, and the coefficient of kinetic friction is 0.150. (a) What is the minimum magnitude of the force F→, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up the plane at constant velocity?A meter stick with a mass of 0.23 kg is held perpendicular to a vertical wall by a cord of length d = 5.3 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. N (b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? O greater than O less than O the same as
- A metal weight of mass 15 kg rests on a smooth (that is, frictionless) icy slope that makes an angle of 25° with the horizontal. It is attached to a rope that passes over a pulley at the top of the slope. The other end of the rope is attached to a crate of mass 12 kg that rests on a rough horizontal plank but irov odi is on the point of slipping along the plank. The coefficient of static friction between the crate and the plank is μ. metal weight 25° anolaups Tisda daiw alodasqyd sdt crate sib baa inol aino risa en't lo molisa planka) inabeup M etaduraszoq oda la coulev er no icy slope pulley inson oris 0-8-8-8 + f +vs otros sistensgeb-non pinos lo og oft sai toy, to todensee sobivora bm amizM sulau piuco Model the metal weight and the crate as particles, the rope as a model string ibal and the pulley as a model pulley. Let g denote the magnitude of the acceleration due to gravity (in ms-2). Moisteos ada obulord nov taifs oua sizsin OJ h (a) (i) State the three forces that act on the…A 6.0 m long ladder AB leans against a smooth wall making an angle of 60º with the floor (Figure 3). The ladder is uniform and has a mass of 20.0 kg.(a) Determine the forces exerted on the ladder by the floor and the wall (i.e. at A and B, respectively).(b) Determine the minimum value of the coefficient of static friction to prevent the ladder from slipping.A uniform 34.0-kg beam of length { = 5.95 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. (a) Find the tension in the rope. (b) Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)
- One end of a uniform 4.30-m-long rod of weight F is supported by a cable at an angle of = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.460. Determine the minimum distance x from point A at which an additional object, also with the same weight For can be hung without causing the rod to slip at point A. m 0 B ✪One end of a uniform { = 4.30-m-long rod of weight w is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is µ. = 0.490. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. B Need Help? Read It Watch ItA stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.