A uniform plank 8 ft long is balanced on a corner using a horizontal force of 75 lb as shown in Fig. the plank weighs 45 lb, determine If The minimum coefficient of friction for which the plank is in equilibrium. 2ft B 75 lb 6 ft A
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- A 1.1-kg disk A is placed on the inclined surface. The coefficient of static friction between the disk and the surface is 0.35. Is the disk in equilibrium if P=5.5N and =30?A wedge is used to prop up the 6000-lb block of marble. The wedge angle is =30, and the angle of static friction is s=12 between all contact surfaces. Determine the smallest force P that would prevent the wedge from sliding out.The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.
- The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD?
- Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.The leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.
- . A 25-kg ladder, 4 m long, rests on a rough floor and against a vertical wall. The ladder makes an angle of 350 with the horizontal as shown. It starts to slip when a man weighing 75 kg has climbed halfway up. If f = 0.20 at the wall, find the coefficient of friction (µf) at the floor.A 8.0 m long ladder AB leans against a smooth wall making an angle of 70º with the floor. The ladder is uniform and has a mass of 40.0 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 25-kg ladder, 4m long rests on a rough floor and against a vertical wall. The ladder makes an angle of 35o with the horizontal as shown. It starts to slip when a man weighing 75 kg has climbed halfway up. If coefficient of friction at the wall is 0.2, determine the coefficient of friction at the floor.