3. The mass C is connected by two wires to the vertical shaft AB. Rotation of the shaft causes the mass to travel in the horizontal circle shown. Calculate the speed vo of the mass that would result in equal tensions in the wires. 25° 0.6 m 50⁰ VO
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- For the simply supported beam carrying the concentrated load P = 176 N at its midspan, determine the magnitude of the maximum displacement (in mm) if d = 2.34 m, E = 11.24 GPa , and I =1749035mm4.In the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=75° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm2 and A=50 cm2 shall be taken for all rods.)The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θ = 32°, θ˙ = 47 deg/s, and θ¨ = 21 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.64 m. The motion occurs in a vertical plane.
- 1. How much work UP is done by the force P = 45 N on the collar?UP = _______N·m 2. How much work Ug is done by gravity on the collar?Answer: Ug = ______ N·m 3. Determine the speed of the collar as it passes position B.v =______ m/sl=160mm, b=60mm. AB rotating with constant angular velocity 1600 rpm clockwise. determine the velocity of P. θ = 45°In the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=30° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm² and A=50 cm² will be taken for all bars.)
- Determine the magnitude of the reaction at the bottom of the ladder. The top of the 15kg ladder is leaning against a very smooth vertical wall. Assume thatbthe mass center of the painter is directly above his feet and that the coefficient of friction between the horizontak ground and ladder is 0.25A cylindrical caisson having an outside diameter of 7m floats in sea water sg=1.03 with its axis vertical and its lower end submerged 6m below the water surface. If its center of gravity is on the vertical axis and is 3m above the sea water surface. a. Determine the value of MBO, in meters b.Find the true metacentric height in meters is the caisson stable? c. find the restoring or upsetting couple, in kN-m, when the caisson is tipped through an angle of 9degree.2. 2. A rectangular pontoon 10 m by 4 m in plan, weighs 280 KN and floats in sea water of density 1025 kg m−3. A steel tube weighing 34 KN is placed longitudinally on the deck. When the tube is in a central position, the center of gravity for the combined mass is on the vertical axis of symmetry 0.25 m above the water surface. Find a) the metacentric height, and b) the maximum distance the tube may be rolled laterally across the deck if the angle of heel is not to exceed 5° c) Justify with complete illustration.
- both the top of the tank and the end of the slanted tube are open to the atmosphere. if L = 3.18 m., x = 68., y = 66 cm., SG1 = 0.85, SG2 = 1.52, what is the angle of tilt (in degrees) of the tube?Calculate the value of the deflection at point B due to concentrated load P in the form Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.A block of mass m = 2.00 kg rests on the left edge of a block of larger mass M = 8.00 kg. Thecoefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00-kgblock rests is frictionless. A constant horizontal force of magnitude F = 10.0 N is applied to the2.00-kg block, setting it in motion as shown in Figure P5.65a. If the length L that the leading edgeof the smaller block travels on the larger block is 3.00 m, (a) how long will it take before this blockmakes it to the right side of the 8.00-kg block, as shown in Figure 3? (Note: Both blocks are set inmotion when F is applied.) (b) How far does the 8.00-kg block move in the process?