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A force and couple act as shown on a square plate of side
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Statics and Mechanics of Materials
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- Jatapraarrow_forwardThe force P has a magnitude of 300 N and is applied at the end C of the rod ABC, as shown. Assuming a=35° and B=50°, replace P with C B P (a) an equivalent force-couple system at 300 mm В, (b) an equivalent system formed by two parallel forces applied at A and B. A 200 mmarrow_forward6 in. 6 in. 160 lb-in. 18 in. B 30 lb 34 lb H 18 in. 12 in. D 6 in. 8 in. in. Determine whether the force-and-couple system shown can be reduced to a single equivalent force R. If it can, determine R and the point where the line of action of R intersects the yz-plane. If it cannot be so reduced, replace the given system with an equivalent wrench and determine its resultant, its pitch, and the point where its axis intersects the yz-plane.arrow_forward
- The guy wire BD exerts on the telephone pole AC a force P directed along BD. Knowing that P must have a 720-N component perpendicular to the pole AC , determine (a) the magnitude of the force P, (b) its component along line AC.arrow_forwardSituation 3. The force system shown consists of the couple C and four forces. If the resultant of this system is 75000 N-mm counterclockwise couple, determine P, Q and C. y 120 N 12 TA 5 C Q 30 mm P 400 N 3 Hle 30 mm Вarrow_forwardIn opening a door which is equipped with a heavy- duty return mechanism, a person exerts a force P of magnitude 8 lb as shown. Force P and the normal n to the face of the door lie in a vertical plane. Ex- press P as a vector and determine the angles 0, 0y, and 0, which the line of action of P makes with the positive x-, y-, and z-axes. 40" P. 30° y 20°arrow_forward
- The 200-N force is to be resolved into components along lines a-a’ and b-b’. (a) Determine α knowing that the component along a-a’ is 150 N. (b) What is the corresponding value of the component along b-b’?arrow_forwardThe plate shown has seven (7) identical sides that are 300 mm long. Find where the line of action of the single equivalent force (to replace the forces shown) intersects with the edge DC measured from D. 30 kN 30° B 40 kN F D 40 kNarrow_forwardA cable stretched between the fixed supports A and B is under a tension T of 3.7 kN. Express the tension as a vector using the unit vectors i and j, first, as a force TA acting on A and second, as a force TB on B.arrow_forward
- 4. For the force-couple system as shown, determine the following: Magnitude of the couple moment Mc so that the equivalent system is a single force acting at point P b. a. Point of application of the single equivalent force along line AB if MC is equal to 180 lb-ft counterclockwise. 85 lb 40 ° 100 16 30 lb 15° Mc 35 lb 400 P 1 ft A 85 lb B 1 ft 200 lbarrow_forwardThe force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M1 in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD.arrow_forward3.104 Five separate force-couple systems act at the corners of a piece of sheet metal, which has been bent into the shape shown. Determine which of these systems is equivalent to a force F = (10 lb)i and a couple of moment M = (15 lb - ftj + (15 lb - ft)k located at the origin. 5 Ib-ft 15 Ib-ft 5 Ib-ft 5 lb-ft 15 Ib-ft 10 lb 10 lb 15 Ib-ft B 2 ft 25 Ib-ft 10 lb 80 lb-ft 2.5 ft 10 lb 15 Ib-ft 2 ft 10 Ib 2 ft' 15 Ib-ft Fig. P3.104 Luarrow_forward
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