Figure shows the two cables A0 and BO tied together at O and the loadings are also shown. В 30° 300 (a) Derive the expressions relating the tension in each cable as a function of a. 150N 200N (b) Write a MATLAB program to plot the tension in each cable for 0°
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- A 60.0 cm, uniform, 50.0 Nshelf is supported horizontally by twov verticalwires attached to the slopingc ceiling(Fig. ). A very small 25.0 N tool is placed on the shelf midway between the points where the wires are attached to it. Find the tension in each wire. Begin by making a free-body diagram of the shelf.If rope BC will fail when the tension becomes 45 kN, determine the greatest vertical load Fthat can be applied to the beam at B. What is the magnitude of the reaction at A for this loading? Neglect the thickness of the beam. 26 kN F C 13 12 B 2 m 4 ma) What is the bar force BC in KN?b) What is the bar force AB in KN?c) What is the bar force AF in KN?d) What is the bar force AE in KN? Remember: A bar force is a vector quantity so it consists of a magnitude, a unit and a direction. (please include direction)
- There are two forces on the 1.45 kg box in the nverhead view of the figure but anly ane is shown, For Fa- 20.7 N,a - 11.4 ms?, and A- 25.6, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle muasured from the tx dlirectiun.) (a) Number i+ i Units (b) Number Units (c) Number UnitsThis problem concerns the concept of tension in a rope. Consider a rope subjected to a pulling force on its two ends as shown in (Figure 1). The rope is stationary. An arbitrary point P divides the rope into a left-hand segment L and a right-hand segment R. Figure wi L pull R 232 pull 1 of 3 Part A For segment R and segment L to hold together, they must exert forces on each other. What is the direction of the force exerted on segment R by segment L? View Available Hint(s) left right Submit Part B FLR Assume that segment R exerts a force of magnitude T' on segment L. What is the magnitude FLR of the force exerted on segment R by segment L? Give your answer in terms of T and other constants such as g. ► View Available Hint(s) = Submit % ΑΣΦ www ?a) What is the bar force at CE in KN? b) What is the bar force at CF in KN? c) What is the bar force at DF in KN? Remember: A bar force is a vector quantity so it consists of a magnitude, a unit and a direction. (Please include direction)
- SAQ 1 1.2 m D C An 80-kn'm couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). Determine: 80 kN m a) the smallest possible value of F, and 1.6 m b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. A В 60°A block resting on a plane inclined at an angle 0 32° from the horizontal is being held in place by steel cables a, b, and cas shown in the figure below. The tension in cable bis 80.0 N. Note that cable ais parallel to the surface of the incline and that cable bis perfectly horizontal. 42° с b a) Create an FBD around point D and determine the tension in wire aand wire C. b) Create an FBD around the block and determine the normal force and the force due to gravity F. c) What is the mass of the block in kilograms?A skier is standing on a 30o hill. Draw the hill and add idealized force vectors that represent the force of the skier (FS), the normal force (FN), and the force of friction (FF).
- A block of weight w is suspended from a rope tied to two other ropes at point O. One rope ishorizontally attached to a wall and the other is fastened to the ceiling. The angle betweenceiling and the rope is 60°. What are the tensions in each of the ropes? Assume the weights ofthe ropes and the knots are negligible. If the weight of the block is 100 N, what is the tension inthe ceiling rope?The tube, shown below, is supported by two cables (AB) and (AC). A force F = 600 lb is applied in cable AB. The component of the force Facting along cable (AC) is: |3 ft E 8 ft- В 12 ft 8 ft 15 ft Select one: a. 49.509 [lb] O b. 495.708 [lb] c. 600 [lb] O d. 459.708 [lb]Problems: 1) Two cables tied together at C are loaded as shown. Knowing that W 190 lb, determine the tension (a) in cable AC, (b) in cable BC. 12 in 30 in. 16 in. 150 lb W 2) Ropes AB and AC are thrown to a boater whose canoe had capsized. Knowing that a = 25° and that the magnitude of the force FR exerted by the river on the boater is 70 lb, the tension (a) in rope AB, (b) in rope AC. determine B 10° af 40°