Consider the rod AB (mass m and length 10 m), that is simply resting between the ground and wall as shown, having a coefficient of static friction us, = 0.30 at the ground and a frictionless interface at the wall. Find the maximum mass m of the column (in kg) such that the rod won't slip. 10 60° A
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- Box A weighs 1000N and has a height of H1=3m and width W1=2m. Box B weighs 800N. the static friction coefficient between the boxes is uA=0.7 and the static friction coefficient between box B and the ramp is uB=0.5. Find the max allowable angle for the following instances where no motion occurs, box A and B remain stationary. 1) Box A slides, Box B remains stationary 2) Box A tips, Box B remains stationary 3) Box B slides, Box A remains stationary on block B. 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 rigid gate of a flood control structure in a river is 6 m wide by 4 m high and weighs 10 kN. With its longer edge horizontal, it is moved up and down with its short edges sliding in vertical channel guides. Evaluate the force, in kN, needed to raise the gate when the surface of the water is 2 m. above its top edge. There is no water on thedownstream side of the gate. The coefficient of friction between the gate and the channel guides is 0.10. Neglect the buoyant effect of the water on the gate and the weight of the cables connected to the gate.a. 104 b. 94 c. 110 d. 92
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