220 mm 75 mm 330 mm 10° 1200 N 100 mm 800 N 200 N The pulley and gear are subjected to the loads shown. For these forces, determine the equivalent force-couple system at point 0.
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- Difficult Problem: If magnitude of MA is 1200 kN – m and the distance between A and B is 3 m, what is the force FB and distance d so that the system shown at the right is equivalent to a force-couple system acting at point D, where the horizontal component of this force is R = 112 kN to the right and the corresponding couple is 635 counterclockwise. 60 kN 30 50 kN 2 m MA 60° 15° 200 kN m 100 kN 4 m Fs 2 m 200 kN 30 60 kN -3 mFind the resultant of the three forces acting on the square plate. 70 lb 10 lb 0.75 ft 0.75 ft 60 lb 6 ft 6 ft The wrench shown is the resultant of a force-couple system with the force acting at point 0. Determine the force and the couple of the original system. Use F = - 6i + 8j + 5k kNand C = - 18i + 24j + 15k kN • m. wwwwwm ww F 4 m 12 m 3 m/determine the required forces in the hangers at points B, C, and D so that the force-couple system at point O is zero. Fc FB 50 30° 30° C r= 0.35 10 100| 50 0.5 02 0.65 0.65 0.50.4- Dimensions in meters
- The rectangular framework is subjected to the following non-concurrent system of forces: a 30lb- force below the origin, a 20 lb-force,3ft above the origin and making an angle of30°N of E, a 100lb-force with a horizontal distance of 3ft and a vertical distance of 4ftfrom the origin and making an angle of 45°NW , a 60lb -force with the same distance like the previous force but along the positive x-axis, and a 100lb- force 4ft tothe right of the origin and making an angle of 60° S of W . Determine the magnitude and direction of the resultant, as well as its moment arm relative to the origin.Find the internal force systems acting on sections 1 and 2.Replace these 3 forces with a single equivalent force R. y T2 T3 Show R on a sketch of the eye bolt. a T1 = 110 lbs T2 = 100 lbs T3 = 150 lbs a = 60 Degrees e = 40 Degrees
- If the following two systems are equivalent, calculate the unknown couple Mo and the forces FA and Fc. 100 kN Fc Mp 50 kN C C 3.0 m 3.0 m 20 kN A B FA A B 20 KNm 5.0 m 5.0 m 160 kN System 1 System 2Replace the force system by an equivalent resultant force and couple moment at point 0. Suppose that F, = 455 N and F = 600 N. (Elgure 1) Part A Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. Fr = Value Units Submit Request Answer • Part B Determine the angle between the resultant force and the z axis. Express your answer using three significant figures. Vo AEO 11 vec , measured counterclockwise from the negative z ais Submit ReguestAnswer • Part C Figure 1 of 1 > Provide Feedback 25 m 0.75 m 0.75 m iPTQ8/ During a drilling operation, the small robotic device is subjected to an 800-N force at point C as shown. Replace this force by an equivalent force- couple system at point O. Ans. M. = 161i - 165 j +120 k N•m 300 mm 20° 250 mm 30° F = 800 N
- 50° 140 kips 10 in 11 in 10 in A B 20 kips 35 kips 81 kips Inisis nor your Cwn property so do not uNe in any Way as if uere 20 in your own. This is notjour ovn propert so ao not use it in ar way as if it were M1 50° 140 kips your own. The 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. 18 inProblem 3. What is the moment of the 1.4 kN force along the direction of the 1.0 kN force? Express your answer as a magnitude and sketch the direction of rotation about the axis defined by the 1.0 kN force TIGBAO TK 1.0KN X 539 indi 21 150 mm 195 mm 2 4 160 mm 21% ARD 19TO 1.4 kN MEBIRT 0 DAW ITOM 00 1400Replace the forces and couple moment system acting on the structure shown in the figures below by an equivalent resultant force, and find its perpendicular distance measured from point A. 1- 3 m 5 kN.m 2.5 m 30 kN 10 kN/m 3 m 4 m 6 m 2- 2.5 m 10 kN.m 25, kN 2.5 m B. 10 kN/m 3 m 4 m 5 m