THERMO ERL

The figure on the left, below, shows a non-uniform bent rod with a mass of 5 kg. Your job is to determine the location of the center of gravity of this rod. You design an experiment: you connect a pin and cable to the rod such that it safely stays in static equilibrium under a force P that you apply. Then, you apply forces between 0-100 N, and measure the tension force on the cable using a cable tension meter. The results of your experiment are shown in the figure, on the right. Using this experiment, calculate (approximately) the horizontal distance (x in the figure) between point A and the center of gravity G of the bent rod. B C O I 20 cm 20 cm 60° D 50 cm Tension measurement [N] 60 50 40 30 20 -10 0 10 real data estimated fit 20 30 40 ܐܐܝ 50 P[N] 60 70 80 90 100

Springs OA and OB are originally unstretched in a vertical position. Find the horizontal force, F, when the springs are held in the position as shown, given: k = 550 lb/ft, L1 = 0.6 ft, L2 = 1.3 ft

Two smooth spheres P, Q each of radius 25 cm and weighing 500 N, rest in a horizontal chaen having vertical walls for the pressure exerted on the wall and floor at points of contact A, B and C. If the distance between the walls is 90 cm, make calculations Ans- 90 cm 500 N 500 N

A string holds and wraps around a solid cylinder (7-kg and R = 8-m). A person pulls the string vertically upward, so the cylinder's center of gravity does not move and is suspended in midair for 7 second. Note that the rotational inertia of the cylinder about its axis is MR2/2, the tension in the string is 8- N. what is the net force on the cylinder in Newton? Note: Do not include the unit in your answer. T

Q4: The diagram shows the open bonnet of a car vortical force V ijlull. The bonnet is held open at an angle of 60° to the horizontal by a vertical force V applied at one end of the bonnet (shown on the diagram). The bonnet is 0.90 m long, has a weight of 25 N and its center of gravity G is car bonnet- 0.35 m from the hinge at O. 0.90m 1) On the diagram, draw and label the two forces other than V acting on the bonnet. 635m 2) By taking moments about 0, Proof that the vertical force V applied at the end of the bonnet is 9.7 N. horizonlal - hinge O 3) Calculate the magnitude of the force acting at the hinge O.

tv wil The following forces are acting on the bracket below. The bracket has a width w of 2 inches and a height h of 3 inches. The bracket is in equilibrium (not accelerating). Determine F3y knowing F1x-98 lbf and F1y-166 lbf. For this question, what is F3y in Ibf? Note that the y-direction is pointing up, so if the force is pushing down on the bracket, it has a negative magnitude. h 3,

Q4: of a car غطاء محرك The i Jul. The bonnet is held open at an angle of 60° to the horizontal by a vertical force V applied at one end of the bonnet (shown on the diagram). The long, has a weight of 25 N and its center diagram shows the open bonnet bonnet is 0.90 m of gravity G is 0.35 m from the hinge at O. 1) On the diagram, draw and label the two forces other than V acting on the bonnet. By taking moments about A, Proof that the vertical 2) force V applied at the end of the bonnet is 9.7 N. 3) Calculate the magnitude of the force acting at the hinge ON.

Q3. As shown on the right in image below, the force Facting on the box varies with displacement s, and the coefficient in the image, C = 14. Determine the work done by force Fto the box when the box has displaced s = 1.9 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper SI unit. F (N) F 5 3 S 4 C s (m) 1 2

Q3: For the equilibrium position shown 4 ft 4 ft in fig. (2), 0 = 43°. Find the mass (m) of the lamp fixture suspended from the two springs, if each spring has an unstretched wwww k= 5 lb/ (before the equilibrium) length of 4 ft and k- 5 lb/t stiffness of k = 5 Ib/ft. (lamp fixture) W of lamp fixture Fig. (2)

the 800-lb force is applied to the pin at e. determine the magnitude of the force exerted by pin e on member bde. neglect the weight of the structure

2. The 6-kg frame AC and 4-kg uniform slender bar AB of length / is free to slide along a smooth fixed horizontal rod. a. Find the tension in the wire BC for a static case where the frame and bar are stationary. b. Now, with the the 80 N force applied find the tension in the wire BC. 60° to Q B 60° -80 N -x

Figure(a) depicts a head-on view of a 1000 kg mass private airplane flying in a state of equilibrium. The force labeled P represents the lift force acting on each wing, and W represents the gravitational weight of the craft. Fig. (b) depicts a more detailed view of the wing ABCD showing its physical dimensions and the assumed location of the lift force P. The wing has a mass of 200 kg and a center of gravity at point B. The wing is attached to the fuselage at point A, which can be modeled as a pin connection. The wing is supported by a pin-connected strut BE whose mass may be neglected. (a) Sketch a free-body diagram of the forces acting on the wing depicted in Fig (b). Compute the vertical lift force P. (c) Compute the forces supported by the strut BE and the pin at A. Hint: You may model the wing as a two-dimensional structure where all forces lie in the same plane. (a) P XERO y W (b) 1.4 m + 2 m B с 0.6m 2.4m D

The skycam at Stanford University Stadium has a mass of 20 Kg and is supported by three cables as shown. Assuming that it is currently in equilibrium, you will need to find the tension in cable C and enter your answer in N units. Hint: this is a 3D equilibrium problem. Cable A lies on the x-y plane, Cable C is on the y-z plane, while cable has components along all three directions.