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- Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of the suspended body is 100.0 N and the masses of the cables are negligible.Show that, as explained in the text, a force F exerted on a flexible medium at its center and perpendicular to its length (such as on the tightrope wire in Figure 5.26) gives rise to a tension of magnitude T=F/2sin() .The 6-m pole ABC is acted upon by a force P as shown. The pole is held by a ball-and-socket joint at A and by two cables BD and BE. If the tension in cable BE is 252 N and if a = 3m, determine the magnitude of force P(N). Round off only on the final answer expressed in 3 decimal places.
- A cylinder having a mass of 250 kg is to be supported by the cord which wraps over the pipe. Determine the largest vertical force F that can be applied to the cord without moving the cylinder. The cord passes once over the pipe, B = 180° Take us 0.2.The man is holding upthe 35-kg ladder ABC by pushing perpendicular to the ladder. The total length of the ladder is AC= 6m. If the maximum force that the man can exert is 400Nat B which is 2m from A, determine the smallest angle, theta, at which the man can support the ladder.A long, uniform 2 kg rod of length 1.8 m is supported at the left end by a horizontal axis into the page and perpendicular to the rod, as shown. The right end is connected to the ceiling by a thin vertical thread so that the rod is horizontal. Thread 1.8 m Horizontal Аxis 2 kg Determine the magnitude of the force ex- erted on the rod by the axis. The acceleration of gravity is 9.8 m/s² , and the moment of in- ertia of the rod about the axis at the end of the rod is 3 Answer in units of N.
- The cable AB prevents bar OA from rotating clockwise about the pivot O. If the cable tension is 740 N, determine the n- and t- components of this force acting on point A of the bar. 1.6 m B Answers: Tn' i 9 Tt= i II = 1.2 m 61° N NThe 6.8-kg frame AC and 2.8-kg uniform slender bar AB of length lslide with negligible friction along the fixed horizontal rod under the action of the 75-N force. Calculate the tension Tin wire BC and the magnitude FA of the force exerted on the bar by the pin at A. The x-y plane is vertical. 75 N 52° 52 B Answers: T = ! N FA = ! N lleAB rigid made of a smooth materialbar on a frictionless horizontal surface.is standing. A force of 2 N at end A of the rodapplied perpendicular to the length of the bar.Since the weight of the bar is 3 kg, A and BCalculate the accelerations of the points.
- A safe mass M = 430kg hangs by a rope from a boom has a mass m = 85kg. Find the tension T, in the cable and the magnitude of the net force exerted on the beam by the hinge. Cable Rope (a) Hinge Beam comA cow is tethered by a perfectly smooth rope, a slip nosein the rope being thrown over a large square post. If thecow pulls the rope taut in the direction shown in figure, atwhat angle will the rope leave the post?The asymmetrical support arrangement is chosen for a pedestrian bridge because conditions at the right end Fdo not permit a support tower and anchorages. During a test, the tensions in cables 2, 3, and 4 are all adjusted to the same value T. If the moment at Ois to be zero, what should be the value T, of the tension in cable 1? Determine the corresponding value of the compression force P (enter a positive number) at O resulting from the four tensions applied at A. Neglect the weight of the tower. -23'--33' 40' 40 50 B D. 15