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Engineering Mechanics: Statics
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- PLEASE ANSWER IN COMPLETE AND CLEAR SOLUTIONS. INCLUDE NECESSARY FREE-BODY DIAGRAMS. The line of action of force F1 = 377 N is passing through point A(+2,+3,+1) towards B(+5,+5,+4), while that of force F2 = 466 N is through point C(+3,+1, –1) towards D(–2, –3, –4). Use a right-handed coordinate system. a. Determine the moment of force F1 about the origin.b. Determine the moment of force F2 about the origin.c. Determine the magnitude of the resultant moment of forces F1 and F2 about segment OE. Point O is the origin and point E is at (+5,+5,–3).arrow_forwardIn the figure, the engine of a vehicle is shown as a representation.The crankshaft of the engine around the x-axis It rotates at 4000 rpm and its moment of inertia is 0.5 kgm2.Moving in the y direction, the vehicle enters the curve with a radius of 70 m at a speed of 120 km/h. In the meantime, find the moment coming to the motor bearings and interpret its effect on the vehicle.arrow_forwardIn the figure, the engine of a vehicle is shown as a representation.The crankshaft of the engine around the x-axis It rotates at 4000 rpm and its moment of inertia is 0.5 kgm2 .Moving in the y direction, the vehicle enters the curve with a radius of 70 m at a speed of 120 km/h. In the meantime, find the moment coming to the motor bearings and interpret its effect on the vehicle.arrow_forward
- One of the ends of the rigid rod AB of mass m and length L = 4R is attached to the edge of the radius R disc by a pin. The other end of the rod can slide freely on the ground without friction. A motor connected to the center of the disk at point O rotates the disk at a constant angular velocity D. Find all the forces acting on the rod at the moment θ = 30 degrees and the direction OB is vertical at the moment shown in the figure.arrow_forward(dynamic)arrow_forwardHelp!!!!arrow_forward
- The homogeneous bars have a mass as follows: bar AC has a mass of 7 kg, bar ABhas a mass of 10 kg, and rod BD has a mass of 2 kg. In the drawn position, therod AC has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2, both clockwise.Determine the magnitude of the moment M acting on the member AC. Give all the equations neededto solve this question without calculating itarrow_forwardQ4 / 1. For the force system shown in ( fig.4) below the resultant ; (R) is equal to ( 500N) , the angles( a ) and (ß) are ; (25°) and (55° ) respectively ; Determine the value of the component (P) R=500N a= 25° Fig. (4)arrow_forwardProblem 3/32 3/33 A person is performing slow arm curls with a 20-lb weight as indicated in the figure. The brachialis muscle group (consisting of the biceps and brachialis muscles) is the major factor in this exercise. Deter- mine the magnitude F of the brachialis-muscle- group force and the magnitude E of the elbow joint reaction at point E for the forearm position shown in the figure. Take the dimensions shown to locate the effective points of application of the two muscle groups; these points are 8 in. directly above E and 2 in. directly to the right of E. Include the 3.2-lb forearm weight which acts at point G. State any assumptions. Ans. F = 154.2 lb, E = 131.8 lb %3D Humerus Biceps Brachialis 8" Ulna 20 lb Radius E 4" 2" 14"arrow_forward
- The 0.4 kg B pin in the figure moves freely inside the circular slide DE with radius b and the counterclockwise (positive direction) rotating arm OC. Calculate the radial (Fr) and axial (Fθ) forces using the values in the table, ignoring friction. b=211 mm θ=19 θ.=9 rad/s θ..=285 rad/s2arrow_forwardThe tire wrench shown in the accompanying figure is used to tighten the bolt on a wheel. Given the information on the diagram, determine the moment about point O for the two loading situations shown: a. pushing perpendicular to the wrench arm, and b. pushing at a 75° angle, as shown.arrow_forward2/40 A man exerts a force F on the handle of the station- ary wheelbarrow at A. The mass of the wheelbar- row along with its load of dirt is 85 kg with center of mass at G. For the configuration shown, what force F must the man apply at A to make the net moment about the tire contact point B equal to zero? mg 60 650 mm 200 mm 925 mm Problem 240arrow_forward
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