From a solid homogeneous hemisphere of radius r, it is desired to cut out a cone the base of which coincides with that of the hemisphere. What should be the altitude h of this cone so that its vertex c will be the center of gravity of the remaining material?

Q: 100 N A y -1.2 m 1.0 m

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Q: A Carnot heat engine receives heat from a reservoir at 1200°C at a rate of 800 kJ/min and rejects th...

A: Temperature of heat reservoir, TH=1200oC=1200+273=1473 KThe rate of heat received by the heat engine...

Q: A turbine develops 144 HP running at 100 rpm under a head of 7.7 meters. At what speed, in RPM, shou...

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Q: Problem 3: Consider the truss shown. a. Find the support reactions at A and D. Indicate the directio...

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Q: A U-tube manometer with one arm open to atmosphere is used to measure the pressure of kerosene vapou...

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Q: s. What is it volume flow rate, Q?

A: To find  Volume flow rate 

Q: For the vectors A = 8.0m South and B = 15.0 m, 30° E of N, use the method of components to find the ...

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Q: he workpiece by a pneumatic cylinder. The rom any one of three work stations. The pund ered when 2 s...

A: designing of equivalent pneumatic and electrical circuit 

Q: 1. What is the level H if the flow rate 20 g

A: To find Level H

Q: If the radius of the big circle is 3m, find the centroid of the shaded area shown in figure with res...

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Q: A tank containing 100 kg of water. copper tube wound in a coil with 4.0 m length of 15 mm-O.D, 2 mm-...

A: Heat Energy balance heat gain is equal to heat loss at thermal equilibrium. in this problem when the...

Q: 1. If f(x +2) = x² – 4x, what is f(x – 2)?

A: Given  f(x+2)=x2-4x   To find f(x-2)

Q: 6.82 Water flows at low speed through a circular tube with inside diameter of 2 in. A smoothly conto...

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Q: Q2) Show that y = 35 x* – 30 x² + 3 satisfies ( 1 – x² )y" – 2xy' + 20y = 0 %3D

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Q: 2.91 The rigid bar AOB is pinned at O and connected to aluminum and steel rods. If the bar is horizo...

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Q: A flexible connection consisting of rubber pads(thickness t =9 mm) bonded to steel plates is shown i...

A: Given   Force P =16 kN Shear modulus for the rubber is G = 1250 kPa Thickness t =9 mm Find    Averag...

Q: Describe any three uses of the following gauge.

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Q: cos 0 22. Supposed we let x = cos 0 in the expression ,what will be the resulting expression? 2 cos ...

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Q: 25 °C = 997 kg/m3 ero for sensible heat, g

A:  we will use Priestly taylor method evaporation E =1.26∆∆+rRnet-sλ∆∆+ r= 0.676Rnet =200 w/m2

Q: Verify that S defined by (6.19) is dimensionless. What are the advantages of presenting performance...

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Q: Given: Open water source Net radiation = 200 W/m? Air temperature = 25 °C Density of water = 997 kg/...

A: Radiation that leaves a surface can propagate in all possible directions. radiation incidents upon a...

Q: Water at 30°C flows at 120 L/s inside a forged steel pipe shaped as an equilateral triangle of 50 cm...

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Q: Please answer. 1. What is simple strain? 2. Derive the formula of deflection using simple strain.

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Q: a refrigerator operating on the reversed carnit cycle provides a refrigerated space at 4C while in a...

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Q: Three coplanar forces are given as follows: A=6 N at 250°, B= 10 N at 120°, and C = 16 N at 205° Plo...

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Q: If the internal torque experienced by a hollow brass shaft (G = 39 GPa) at a section with diameter d...

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Q: Construct the shear and moment equations of the loaded beam as shown and draw the shear and moment d...

A:   Let RO and RC are the reactions at point O and C respectively. Let's mark the points D and E as sh...

Q: 5000 cfm of outdoor air at 100°F/75°F is cooled to 85°F in a direct evaporative cooler. Air then ent...

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Q: A square hollow bar having an outside dimension of 250 mm by 250 mm with 6 mm thick is to be replace...

A: Now since at every point, it is assumed that the particles of materials are in equilibrium, the shea...

Q: Two gray cast iron plates, each with a thickness of 1.75 inches are compressed together with a 1.000...

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Q: Determine the magnitude of the resultant force at A. F=840 N 6 m Fe 420 N 3 m B. 2 m 3 m 2 m E

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Q: An orifice of 8 cm diameter is fitted in a 20 cm diameter pipe that carries oil of specific gravity ...

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Q: cos 2r +) + cos 2r + 24. What is the simplest form of- sin 2x + + sin 2x + A) -sin2r B) -cot 2x C) -...

A: Answer: The correct answer is option (D) -tan(2x).

Q: A particle has such a curvilinear motion that its x-coordinate is defined by x= 5t³ – 105t where x i...

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Q: Draw the shear and bending moment curves for the beam and loading and the maximum absolute value of ...

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Q: The wall of a room is made of plywood that has a thickness of 3.00 cm and an area of 18.0 m?. The ro...

A: Thickness of wall, L=3.00 cm=0.03  mArea of the wall, A=18.0 m2Temperature difference between inside...

Q: Find the angle between the following vectors: A=-2.0i+6.0j and B=2.0i-3.0j 15 165 O 80 O 195

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Q: w - 60 mm diameter SIDE FRONT 3.5 m

A: To determine the torque experienced by the pole, we must first calculate the magnitude of the force ...

Q: You have 2 shock waves and one expansion wave above the wing. What waves would you have to change or...

A: Lift is a force that directly opposes the weight of an airplane in the air. Lift is generated by eve...

Q: 5. Determine the Resultant Force at A. 2 ft Fe 490 lb Fg 600 lb 4 ft 6 ft 3 ft 4 ft 2 ft 4 ft 3

A: Forces are written in vector form and resultants are calculated.

Q: 450-mm-long AISI 1020 steel rod is subjected to a tensile load of 55 kN. The allowable tensile stres...

A: Given Length = 450 mm Tensile load = 55 kN = 55 X 103 N Allowable tensile stress = 140 MPa = 140 N/m...

Q: upper end flush with thế water surfācê? 7. In fig. fluid A is water, fluid B is oil(s= 0.85). Determ...

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Q: 2. Let p 19. Then 2 is a primitive root. Use the Pohlig-Hellman method to compute L2(14).

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Q: b) The figure represents five forces and a system. Find the resultant force and locate couple of tha...

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Q: A freight-car axle AB is loaded approximatelyas shown in the figure, with the forces P representingt...

A: Given   Diameter d = 80 mm   Distance b = 200 mm        Load P = 47 kN Find The maximum bending stre...

Q: - Steam at a pressure of 3.5 MPa is known to ave a specific volume of 50X10-3 m3/kg. What s its spec...

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Q: 9. A ride in an amusement park consists of a rotating arm AB that has an angular acceleration of aR ...

A: Given data as per question Angular acceleration of AB =1 rad/s2 Length between point  A and B =5 m C...

Q: A simple ideal Rankine cycle which uses water as the working fluid operates its condenser at 40C and...

A: Answer: (a) Turbine work : WT = 974.53 kJ/kg. (b) Pump work : WP = 8.65 kJ/kg.  

Q: A space vehicle has a mass of 500 kg and is moving towards the moon. Calculate the kinetic and poten...

A: We need to compute the kinetic and potential energy of a space ship that has a mass of 500 kg and is...

Q: O O O .. .is method used for testing the hardness of brittle materials such as ceramics. and polymer...

A: Rockwell hardness test is commonly used for testing hardness of brittle materials like ceramics and ...

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.