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- Question 2: The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. ( Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. ( A = 15°. C A 250 mm eeeeeee 900 mm k= 2.6 kN/m OB = 30° B LC 7-y 200 mmThere are two parallel forces and two pure moments in the figure. What distance "d" must separate the forces in order for the system to be in equilibrium? F = 9 N, M1 = 15 N-m, M2 = 69 N-m, = 60 degrees, a = 1 m, b = 1 m, c = 2 mPROBLEM #1: A vertical force P = 20 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft. Take k = 25 lb/ft. (see picture for illustration). Determine the: (a) forces (b) angle theta for equilibrium Note: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. I need the answer right away, thank you. Topics Discussed: Static of Rigid Bodies, Equilibrium of a Particle, Position Vector, Force Vector Direction, etc.
- Based on the figure, (a) The entire system is in equilibrium, both in translational and rotational conditions. What will happen to the tension in the string if Fapp moves further to the right? (b) Is the direction of the pivot force parallel to the meterstick? (c) Using the convention that counterclockwise torques are positive and clockwise torques are negative, sum the torques about the center of the mass of the meterstick. What do you expect the sum to be?Question 2: The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. - A = 15°1 A 250 mm lllllll 900 mm k = 2.6 kN/m OB = 30° B G 200 mmFor the slider-crank mechanism shown in the figure. A force F acts on the slider block in the direction shown. A torque T is applied on the crank as shown in the figure. Determine the magnitude and direction of this torque in order to keep the system in static equilibrium. (construct the free body diagram for all links and write all equilibrium Equations) OA = 4m F = 20 N B = 60° 8 30° AB = 6m %3D BF
- 5. For the following 4-bar mechanism, determine torque T₂ (in terms of T4) to keep the system in static equilibrium. Link lengths are a₁ a2 a3 and a4 03 0₂ 3 D 1 44The bars shown are the same length. The spring is unstretched when alpha= 90°; the horizontal surface is smooth. For what value of a between 0 and 90° will the system remain in equilibrium?Find the torque on link 2 necessary to maintain static equilibrium for the 4-bar mechanism shown below. Use analytical method, draw free body diagram of each link. O,A = 3.5 in., AB = 0,B = 6 in., O,C = 7 in. P.=50 lb 4 -152. 105 240° M12 2
- X Problem 4 The rod, supported by thrust bearing at A and cable BC, is subjected to an 80 lb force. Draw a FBD suitable to find the reactions at A and B. Z A 6 ft F = 80 lb 1.5 ft C B 1.5 ftConsider the system shown below. A, B, C, D, E, F and G are revolute joints. All the links are rigid members. Consider member GF is applying a force F=50 N to another system that is not shown here. For GF to be able to apply that force, what is the torque that needs to be supplied by a motor attached at A. Assume static equilibrium.I Draw the free-body diagrams and write the differential equations of motion for the two masses in terms of x₁ and .x2. b. Find x₁, and X20, the constant displacements of the masses caused by the gravita- tional forces when fa(t) = 0 and when the system is in static equilibrium. K₁ Rewrite the system equations in terms of z₁ and 22, the relative displacements of the masses with respect to the static-equilibrium positions found in part (b). K₂ ele M₂ fa(1) M₁ IIL B Figure P2.15 111 ele /// K M₁ 000 M₂ K ( 000 K fa(1) Figure P2.16 2.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of the three springs has the same spring constant K.