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- A short cantilever beam is subjected to three forces. If α = 45°, determine the value of F in kN that will make the magnitude of the resultant of the three forces smallest as shown in the figure. Take F1 = 70 kN and F2 = 25 kN.An 8-m-long beam, weighing 14,700 N, is hinged to a wall and supported by a light rope that is attached 2.0 m from the free end of the beam. If the beam is supported at an angle of 30.0° above the horizontal, (a) find the tension in the rope and (b) the reaction force of the wall on the beam. 40.0° 2.0 m 30.0°A person is standing on a section of uniform scaffolding as shown in the figure. The section of scaffolding is L = 1.50 m in length, has a mg = 22.0 kg mass and is supported by three ropes as shown. Determine the magnitude of the tension in each rope when a person with a weight of Wp = 580 N is a distance d = 0.700 m from the left end. magnitude of T1 magnitude of T2 magnitude of T3 40.0° 0.700 m 1.50 m
- A 16.0-m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 57.0° angle with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. Horizontal force: magnitude direction Vertical force: magnitude direction towards the wall up N ✓✓ N (b) If the ladder is just on the verge of slipping when the firefighter is 8.70 m from the bottom, what is the coefficient of static friction between ladder and ground?The diagram shows a uniform 30 cm strut weighing 5 N supporting a 10 N weight 10 cm from the pivot. Find the tension in the cable attached to the wall. 10 cm 10 N 30°A scaffold of mass 67 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 67 kg stands at a point 1.7 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable?
- One end of a uniform 4.40-m-long rod of weight F is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.465. Determine the minimum distance x from point A at which an additional object, also with the same weight F, can be hung without causing the rod to slip at point A. A 0 B X You will need to work with the equations F net = 0 and 7 = 0 and manipulate the equations symbolically to solve for the distance. m netA window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 300 N and is 4.50 m long. What is the tension in each rope when the 600-N worker stands 1.30 m from one end? Make use of the situations in this scenario and tell us a story of your own that involves a similar type of static equilibrium. You may use approximate values to solve your own problem.The force F in the figure keeps the 8.3 kg block and the pulleys in equilibrium. The pulleys have negligible mass and friction. Calculate the tension T in the upper cable. T
- Please asapA uniform 22 kg beam, 3.0 m long, is attached to a wall on the left by a hinge, and is supported by a cable on its right end. A 13 kg monkey hangs from the beam, 1.0 m from the left end. a) Determine the tension in the cable. b) Determine the magnitude of the force due to the hinge on the beam.A hungry bear weighing 730 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 5.00 m long, and it is supported by a wire at an angle of 0 = 60.0°. The basket weighs 80.0 N. Goodies Q (a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) When the bear is at x = 1.16 m, find the tension in the wire supporting the beam. N When the bear is at x = 1.16 m, find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positiv direction is upward. Include the sign of the value in your answer.) Fx N N (c) If the wire can withstand a maximum tension of 775 N, what is the maximum distance the bear can walk before the wire breaks? m