1. Two tractors pull on the three with the forces shown. Represent each force as a Cartesian vector and then determine the magnitude and coordinate direction angles of the resultant force. Refer to Figure 1.
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- The uniform 240-lb bar AB is held in the position shown by the cable AC. Compute the tension in the cable.The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted on by the three couples shown: (a) the input couple consisting of forces of magnitude P, (b) the output couple C0, and (c) the couple formed by bearing reactions of magnitude R. If the resultant of these couples is zero, compute R and C0 for P=750lb.The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a thrust hinge at A, a slider hinge at B, and the cable CD. Find the force in the cable and the magnitudes of the hinge reactions.
- The homogeneous bar AB weighs 25 lb. Determine the magnitudes of the forces acting on the bar at A and B. Neglect friction.The 1800lbin. couple is applied to member DEF of the pin-connected frame. Find the internal force systems acting on sections 1 and 2.A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight. Determine the length of the cable and the maximum force in the cable. (Hint: First locate the point O where the cable is tangent to the pipe.)
- II. Eхample An experimental device imparts a force of magni- tude F = 225 N to the front edge of the rim at A to 900 mm 700 mm simulate the effect of a slam dunk. Determine the F moments of the force F about point O and about point B. Finally, locate, from the base at 0, a point C on the ground where the force imparts zero moment. 300 mm A 3050 mm Example The 30-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of P about point B and about point A. P = 30 N 1.6 m 45° B 1.6 m A 2.4.2 Couple A couple consists of two forces which have equal magnitudes and parallel but opposite in sense. The moment of the couple is the algebraic sum of the moments of its forces about any axis perpendicular -F a to the plane of the couple. (a) II >3. The hinged door shown has a chain attached at point C connected to point B. It has a tension force of 250 N. To maintain the door in that position shown, what is the magnitude of the moment of the axis where the hinges are attached? 2.5 m 1.5 m Fc = 250 N. 30 1 m 0.5 m4. The rigid link is supported by a pin at A, a steel wire BC having an unstretched length of 300 mm and cross-sectional area of 20 mm², and a short aluminum block having a length of 100 mm under no load and cross-sectional area of 40 mm². If the link is subjected to a vertical force of 550 N as shown, determine the force in wire BC and the aluminum block, and the rotation of the link about pin A. Est = 200 GPa, EA = 70 GPa. 300 mm B 200 mm 550N 250mm D A 250 mm 100 mm
- A 170-kg horizontal beam is supported at the ends A and B. A 300-kg piano rests a quarter of the way from the end A. Determine the magnitude of the vertical force on the support at A. Determine the magnitude of the vertical force on the support at B.45 N Ans. (a) 34 N, 0=280 (b) dRA = 11.64 mm from B to the left; dRc3D62 mm below B 36 Dr. M.S. Meddah 3.116 A 160-N motor is mounted on the floor. Find the resultant of the weight and the forces exerted on the belt, and determine where the line of action of the resultant intersects the floor. 700 N 30° 50 mm -300 N 50 mm Final result: Resultant, R = 925.92 N and 0 = 11.840 x= -582.22 mm i.e. resultant intersects the floor 582.22 mm to the left of the vertical centerline through O. 37From the lesson of spatial force system, resolve problem 3 if x = 15 m, y = 20 m, the support at A is moved downward by a vertical distance of 3 m, the support at B is moved upward by a vertical distance 4 m and the support at C is moved downward by a vertical distance 2 m. Determine the magnitude and coordinate direction angles of the resultant force. 600 N 400 N 800 N 24 m (16 m 4m 6 m 18 m