You are leaning your 8.0 ft, 18.0 lb ladder against the wall in your garage. There are 2 rubber foot paddles on the bottom of the ladder, and your garage floor is concrete. The static friction between the rubber and concrete is μs = 0.600. What is the maximum distance from the wall to the rubber foot paddles, which you can lean your ladder without it slipping? Assume the wall is smooth. The maximum distance = ft

Problem 3 - Determine whether the block shown is in equilibrium. Find the magnitude and direction of the friction force. Ms=0.30 MK=0.20 400 N 300N 130 45°

Physics Problem about Torque and forces. Show the location of the axis of rotation and r for each force that produces torque in the diagram. Also, check calculations, I am off by 1 degree.

Torque Problem The diagram below shows the lower leg being held in a stationary. The torque acting to turn the leg in a clockwise direction is being generated by the weight of the leg and the weight of a barbel attached to the ankle. Using the information provided calculate the magnitude of the quadriceps force. LOWER LEG IN ANGULAR EQUILIBRIUM 15° Quadriceps muscle force 0.05m 0.14 m 50° 0.30m 90 Newtons 120 Newtons Show your calculations step by step here. Includes diagrams and short comments to explain your approach to solving the problem.

An engineer trying to determine whether her crane will tip over when attempting to lift a 13K load. Her crane has a 15K chassis and 35K counterweight. Assume all other parts of the crane have negligible weight. Answer all questions relative to the rotation point. How much torque is caused by the load? How much torque is caused by the chassis? How much torque is caused by the counterweight? What is the normal force on the rear (right) outriggers? What is the normal force on the front (left) outriggers? *each box in picture = 5 ft

The figure on the left, below, shows a non-uniform bent rod with a mass of 5 kg. Your job is to determine the location of the center of gravity of this rod. You design an experiment: you connect a pin and cable to the rod such that it safely stays in static equilibrium under a force P that you apply. Then, you apply forces between 0-100 N, and measure the tension force on the cable using a cable tension meter. The results of your experiment are shown in the figure, on the right. Using this experiment, calculate (approximately) the horizontal distance (x in the figure) between point A and the center of gravity G of the bent rod. B C O I 20 cm 20 cm 60° D 50 cm Tension measurement [N] 60 50 40 30 20 -10 0 10 real data estimated fit 20 30 40 ܐܐܝ 50 P[N] 60 70 80 90 100

The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=200 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=10 cm . Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A ( 3L/4= 75 cm) . The angle that cable 2 makes with the horizontal is measured as β=40 ° . Accordingly, in order for the leg to remain in balance in the position shown;  a)  Find the tensile force  T 1 in cable 1  . (Write your result  in N  ) b) Find the tensile force  T 2 in cable 2   . (Write your result  in N  )  c)  Find the angle  α of cable 1 with the horizontal

The following forces are acting on the bracket below (a free-body diagram of the bracket is shown), that is hinged at point 1 (bottom left point). The bracket is in equilibrium (not accelerating). In this case we are pushing up on the far right hole with a force F3=62 lbf. What must the force at point 2 (F2 and give you answer as Ibf) be knowing it must act horizontally? F2 3 inches 1,х Fiy 12 inches F3

5. The figure below represents the anatomy of the lower limb when balanced on your toes and the body weight acts through the tibia. The Achilles Tendon makes an angle (0) of 8° with the vertical and for this foot x1 is 6.2 cm and x2 is 12.3 cm. Calf Muscle Tibia Achilles Tendon Calculate the tension (T) in the Achilles Tendon if a 70 kg man stands on the toes of both feet. Using the values in this example what is the mechanical advantage for this lever and describe what that means in terms of the efficiency of the lever.

Figure 1 shows a railroad wagon axle and forces acting over it. There are two disc brakes on the wagon axle. Since the wagon wheels are not driven wheels, the load bearing element to which the wheels are connected is called axles. The axle is supported at both ends with bearing A and bearing B and the the weight of the wagon (G) is evenly distributed on both bearings (as G/2). During braking, two disc brakes on the axle are applied Ff force and Ft friction forces are formed on the wheels. Therefore the axle is forced to bend in the vertical direction with the effect of wagon weight (G) and wheel reaction forces (Rt), and in horizontal direction with the effect of braking (Ff) and wheel friction (Ft) forces. At the same time, the axle is forced under torsion because of Ff and Ft forces. GIVEN:Shaft material : 50CrMo4 Wheel material : GS 60 Brake discs’s material: 15Cr3 All the radiuses : 5 mm Average roughnesses for press fit surfaces: Ra =6.3 μm Wheel speed: = 500 d/d Wagon weight per…