F, b Fig-3
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- A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.Consider the bracket shown in Fig-3. If: • F1 = 10 lb @ -90° • a - 2 ft • b = 4 ft • c= 1 ft then, what is the magnitude of the internal force within member 'BD'? O lb 10 lb 14.2 Ib 20 lb 26.4 lb 30 lb 32.3 lb 40 Ib 45 lb 50 Ib 54.1 Ib 60 Ib 67.1 lb 70 lb 72.7 lbConsider the bracket shown in Fig-3. If: • F1 = 10 lb @ -90° • a = 2 ft • b = 4 ft • c= 1 ft then, what is the direction of the horizontal reaction at point 'A? 0° 90° 180° 270°
- Consider the bracket shown in Fig-3. If: • F1 = 10 lb @ -90° • a = 2 ft • b = 4 ft • c = 1 ft then, what is the direction of the vertical reaction at point 'D? 0° 90° 180° O 270°The first figure gives spring force Fx versus position x for the spring-block arrangement of the second figure. The scale is set by Fs = 190 N. We release the block at x = 13.0 cm. How much work does the spring do on the block when the block moves from x; = +9.0 cm to (a) x = +5.0 cm, (b) x = -5.0 cm, (c) x = -9.0 cm, and (d) x = -11.0 cm? -x (cm) -2 -1 -F, X* = 0 Block attached to spring F = 0 (a) x positive F, negative F (b) x negative F, positive (c)Q1: In the below drawings, three unbalanced masses and related details are provided. Please answer the following questions. a) a balancing mass is to be located at rp = 50 mm, then what would be the balancing m1 m1 650 mm 200 mm m2 mass (m,) and its angular position (Op) (Please use the r2 m2 A graphical method) r3 m3 15 m3 b) If the system is not balanced what would be the reaction forces at A and B. (FA, FB=?) n = 150 rpm r; = 30 mm m, = 1 kg r2 = 20 mm 40 тm 13= m, =3 kg m; = 2 kg k = please choose an appropriate scaling factor yourself SHOT ON MI 6 MI DUAL CAMERA
- A transmission tower (a truss) for supporting electric wires is shown. The load of wire at D is shown as force F1 at an angle of a and the load of wire at A is shown as force F2 at an angle of B. Using the values given in the table below: F1 (N) F: (N) a (deg) B (deg) w (m) h (m) Value 150 70 30 60 2 a) Find the reaction forces at supports Y and Z. b) Determine the forces supported by members DO, DM, SV, and UX and specify whether the member is in Tension or Compression. M Q B F1 F2 T W X hGiven values: m1 = 10kg, r1=75 cm, m3=20kg, r3=25cm, m4=5kg, had to find the value of r4=? I got r4=50cm m1 = 10 kg at r1 = 75cm m3 = 20 kg at r3 = 25cm m4 = 5 kg at r4 = 50cm 1. Compute the theoretical value of r3 using the following equation: r1m1 = r3m3 + r4m4 2. Compute the % error of r3 using the following equation: % error = |theoretical value - experimental value| / theoretical value x 100%4.) A 20 kg block is suspended by 2 very thin ropes that meet at a 40° angle. What is the tension on the two ropes? AM ThN < Q口 Formula EQA D Untitled Notebook (2) - Untitled Notebook (2)- Satple Praloom s HI UNSM Ntbok2 Sanple Frirm 3 LnlT Sheet O O & C OBE 63 Atuoods Machine Block Suspended by a Strings 92=-a, (m. - mi). 9% = (mz +m.) Untitled Notebook (2) Tz = sine Block Sliding on a Romp Т. mg w/out friction: 9= gsine w/ friction:
- Q1-A- A man stands on the middle rung of a 250 N ladder resting on a smooth floor and against a wall as shown in Figure. The ladder is prevented from slipping by a string OD and the tension force in the string is 50 N, and the reactions at A and B are 1.3 kN and 433 N respectively. Find the mass of the man. Fig. (1) A 250 N 30 2m 0 mA 0.20 kg horizontal beam has length L=0.8 m. It is supported by a fulcrum at d=0.55 m from the left end. A 0.15 kg mass ml is suspended at xl=0.15 m from the bar's left end. Another mass mr is suspended at xr=0.65 m from the bar's left end. The system is in equilibrium. How heavy in kg is the mass mr on the right side? Hint: the bar's gravity has a torque if it is not supported by the fulcrum at exactly half way.Two masses are attached to a uniform meter stick as shown in the figure below. The masses of m1 and m2 are as given and the meter stick weighs 150 g. A force F with unknown magnitude is applied on one end of the stick at an angle of 30° to balance the system. 30 cm 40 cm 30 cm 30° m2 75 g m1 50 g (a) What is the magnitude of F? (Ans: 6.21 N) (b) What are the reaction forces on the support? (Ans: Ry = 5.38 N; Ry = 5.80 N) %3D