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 beam of mass 40.0 kg is supported by a cable and attached to a wall as shown in picture. Find the tension T int the cable and the magnitude of force ,F exerted by the wall on the beam.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 uniform ladder of length ℓ rests against a smooth, vertical wall (as shown). The mass of the ladder is m, and the coefficient of static friction between the ladder and the ground is μs = 0.40. Find the minimum angle θmin at which the ladder does not slip.A cubical box is filled with sand and weighs 527 N. We wish to "roll" the box by pushing horizontally on one of the upper edges. (a) What minimum force is required? (b) What minimum coefficient of static friction between box and floor is required? (c) If there is a more efficient way to roll the box, find the smallest possible force that would have to be applied directly to the box to roll it. (Hint: At the onset of tipping, where is the normal force located?) (a) Number i Units (b) Number i Units (c) Number i Units
- 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 man weighing 600 N is using a ladder to fix the light bulb. If the position of the ladder is as shown in Figure, determine the minimum value of coefficient of friction between the ladder and the floor, for the ladder to remain in position.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 asA 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…Determine the magnitudes of the forces C and T, which, along with the other three forces shown, act on the bridge-truss joint. C COS 20 с T sin 40 C SIN20 16 kN 3 kN 40° T cos 40 -x 8 kN FX= 8-16+Tcos 40+C sin 20=0 Fy= -3 +T sin 40-C cos 20=0