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- The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.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 uniform ladder of weight W is raised slowly by applying a vertical force P to the rope at A. Show that P is independent of the angle .
- Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.PROBLEM: To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction parallel to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. If the weight of the box w= 20.0 N, the angle made by the incline with the horizontal θ=25o, and the coefficient of static friction µs=0.16, who has the easier job?Three cylinders are piled in a rectangular ditch as shown, neglecting friction. Wa=15lb, Wb=40lb and Wc=20lb. Determine reaction between cylinder A and the floor, reaction between cylinder A and wall, reaction between cylinder A and cylinder B, reaction between cylinder B and cylinder C, reaction between cylinder B and the wall, and reaction between cylinder C and the wall.
- the uniform slender rod AB shown of weight w is supported by A peg at C and its end A rests against a vertical wall. the coefficients of friction at A and C are equal to f. find the ratio L/a when motion is impending. if θ=30˚ and f=0.3, find the ratio L/a.Q3/ A screw-jack is used to lft a load of 4 kN. The screw of the screw-jack is square threaded with two threads to 1 cm. If the co-efficient of friction between the nut and screw is 0,095 and outer diameter of screw s 6 cm, find the force required atthe end of the handle of length 50 cm to ift the load. (20 M)Figure shows a 100 kg concrete cylinder resting on a wall at A. A 10° wedge is used at the bottom to prevent the concrete cylinder from rolling. The coefficients of static friction at A and B are 0.6 and 0.2, respectively, and the coefficient of static friction between the wedge and the floor is 0.3. By assuming the negligible weight of the wedge, determine the force P required to lift the concrete cylinder in the direction shown.
- A box of mass m = 30 kg is at rest on a ramp inclinedat 50° to the horizontal. The coefficients of friction between the box and the ramp are mS = 0.80 and mK = 0.70. Determine the magnitude of the largest force that can be applied upward, parallel to the ramp, if the box is to remain at rest.Figure shows a 100 kg concrete cylinder resting on a wall at A. A 10° wedge is used at the bottom to prevent the concrete cylinder from rolling. The coefficients of static friction at A and B are 0.6 and 0.2, and the coefficient of static friction between the wedge and the floor is 0.3. By assuming the negligible weight of the wedge, determine the force P required to lift the concrete cylinder in the direction shown.The friction tongs shown in Figure are used to lift a 350 kg casting. Knowing that h = 864 mm, determine the smallest allowable value of the coefficient of static friction between the casting and blocks D and D’.