A wooden pole (S.G. of WP = 0.86), 507 mmin diameter (D), has a concrete cylinder (S.G.CC = 2.43),H= 595 mm high and of the samediameter. attached to one end. Determinethe minimum height, L (in meters) of thewooden part of the pole for the system tofloat vertically in static equilibrium. expressanswer in 3 decimal places.WPH mmCCDrmmdiameter

Answered: Image /qna-images/answer/40d383b9-1c3a-4023-aaf9-ce67939324a9.jpg

Answered: A wooden pole (S.G. of WP = 0.86), 507…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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P1.9 A rubber balloon when fully inflated has a spherical shape with a radius of 0.3 m. The absolute pressure inside the balloon is 103 kN m²2 and the local barometric ambient pressure is 750 mm of mercury. By considering the equilibrium of a hemispherical portion of the balloon, calculate the tension in the rubber membrane per unit circumferential length. Neglect the effect of the thickness of the balloon. [Answer: 0.44 kN
A cube 2.2 feet on an edge has its lower half of s.g. = 4.8 and upper half of s.g. = 2.9. It rests in a two-layer fluid, with lower sg. = 4.6 and upper s.g. = 3.95. Determine the height, h, of the top of the cube above the interface. See the Figure below. Note: Show step-by-step, and explain each step.
2. 2. A rectangular pontoon 10 m by 4 m in plan, weighs 280 KN and floats in sea water of density 1025 kg m3. 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.
A barge of 20 ft wide and 40 ft long is loaded with rocks. Assume that the center of gravity of the rocks and the barge is located along the centerline of the top surface of the barge.If the rocks and the barge weigh 400,000 lbf, will the barge float upright or tip over?
It is important to say that the dimensions are given in millimeters and tensions are NOT in compression In the system shown, note that a force P (t) is applied at C. Bar ABCD is of negligible mass. Determine: The differential equation of the system. The exercise is shown in the attached image
A 50 kg pole extends up a wall, making a 60° angle with the wall. The pole is supported by acable attached 3/4 of the way along the pole. This support cable is perpendicular to the wall.A 10 kg sign hangs from the end of the pole. The pole’s center of mass is 1/3 of the way fromthe wall to the end of the pole. (a) What is the tension in the cable?(b) What are the x and y components of the force the wall exerts on the pole?You must include an extended free body diagram showing all forces acting on the pole. Labelthe location on the pole you will use a reference for measuring distances (the “axis of rotation”) at the point where the pole touches the wall. Thank you!
1. A uniform stick can be balanced on a knife edge 10 cm from one end when a load of 200 N is hung from that end. When the knife edge is moved 5 cm further from the end, the 200 N load has to be moved to a point 8.75 cm from the knife edge to obtain a balance. Find the length of the stick and its weight.
State Pascal’s principle and give one application of the principle. An object is dropped into a beaker of water. Two forces are operating on the object viz. the weight of object and the buoyant force FB due to the fluid. Explain, in terms of the forces when the object. a.) Sinks to the bottom of the beaker b.)Floats in the water A hydraulic press for compacting powdered samples has a large cylinder with a diameter of 10.0 cm and a small cylinder of diameter 2.0 cm. If a force of 350 N is applied to the small cylinder, what will be the force exerted by the fluid on the large cylinder? Be consistent with your units.
The plastic block shown below measures l.5 m x/.S m x(.7 m and has a specific gravity of 0.38. The concrete block B (density = 2400 kg/m) is suspended from the corner of the plastic block by means of a cable and the plastic block is thus floating in the lake (T = 15°C) in the orientation shown. Determine the volume of the concrete block (units of liters) noting that it does not rest on the bottom of the lake, Neglect the weight and volume of the cable in your analysis. %3D %3D 1.7 m 0.5m Water Cable B
Q3) A solid wood cylinder of diameter 2 ft and height of 4 ft as shown in Fig.3,the specific gravity of the wood is 0.6 .If the cylinder floats vertically in oil of specific gravity 0.85. State whether the equilibrium is stable or unstable. the specific weight for water y = 62.4 Ib/ft3. 4 ft h 2 ft Fig.3
Plunger (weightless) Area is 0.003 m² piston mass 1000 kg , area of piston is 0.3 m² density of oil is 750 kg/m³ determine force on Plunger required for equilibrium

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