Locate the centroid of the plane area shown if r = 38 in.

Q: 2.70 kg 3.60 kg 4.00 kg 6.20 kg 7.25 kg none of the above m1 1.00 m m2 A system of two paint buckets…

A: According to the given data u=0 v=2.50m/s h=1m m1=12kg We need to find Mass of the block 2

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Q: An object of mass 3M, moving in the +x direction at speed Vo, breaks into two pieces of mass M and…

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Q: Your engineering consulting firm has been sent the design for a simple piping system connecting two…

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Q: A thin plate made of steel with E = 29000 ksi and G= 11000 ksi has strains at a particular point…

A: Given: εx=600μεy=100μγxy=1500μ To find: Principle strain Maximum shear strain Principle strain…

Q: Your client has informed you that this system is scheduled to operate for many years. Thus, they…

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Q: A converging-diverging nozzle is designed to expand air from a chamber in which the pressure is 750…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 6. A hollow shaft is to be designed to carry 10 kN normal load. Determine the inner diameter given…

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Q: If P=5kN, determine the average shear stress in the pins A, B, and C. All pins are in double shear,…

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Q: Determine the moment produced by force Fc about point O (Figure 1). Express the result as a…

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Q: The transfer function of a dynamical system is written as T(s) = T₁(s)/T₂(s). At 5 rad/s, the gain…

A: Given: At 5 rads, gain associated with T1s=30 dB At 5 rads, gain associated with T2s=46 dB Transfer…

Q: A thermometer is taken from an inside room to the outside, where the air temperature is 5° F. After…

A: The given information in the problem is shown in the following attached image:

Q: A pump 254mm suction pipe and a 127mm discharge pipe is use to deliver 52L/s of water. The suction…

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Q: 2. Refrigerant-134a enters the compressor of a refrigerator at 100 kPa and -20°C at a rate of 0.5…

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Q: The center O of the gear shown in (Figure 1) is moving with a speed of vo=3 m/s. The gear rack B is…

A: Given: The center of the gear shown in (Figure 1) is moving with a speed of vo = 3 m/s. The gear…

Q: The applied shear force is V = 22 kip. Part A Determine the maximum shear stress in the member.…

A: Shear stress is the force tending to cause a deformation in a material by slippage along a plane or…

Q: A load P is supported by a structure consisting of rigid bar BDF and three identical 15-mm- diameter…

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Q: why do you multiply by 16 in the shear stress?

A: This question is based on the concept of Torsion equation.

Q: A pump is to deliver 80 gpm of water having specific volume of 1.0164x10-3 m3/kg at a temperature of…

A: According to the given data Discharge (Q) = 80 GPM = 0.1337×8060 =0.1783 ft3s =308.045 in3s At T =…

Q: 1. A horizontal true centrifugal casting process is used to make brass bushings with dimensions: L=…

A: GivenL=10cm=0.10mdo=16cm=0.16mdi=12.5cm=0.125mρ=8.47 g/cm3=8470 kg/m3

Q: The semicircular disk of mass m = 1.5 kg and radius r = 615 mm is released from rest at θ = 0 and…

A: Given; m=1.5 kgr=615 mm=0.615 mθ=65° Solution: The free body diagram of the semicircular disc :

Q: Ice cube is cooled using heat engine. The T-initial of cube is 373 K and lowered to a T-final of 273…

A: Given data: Specific heat capacity, Cp =A+2BT A = 0.014 J/K B = 4.2×10-4 J/K2 T1 = final temperature…

Q: Water at 20°C(?=998.3?? ????=1×10−6?2/?)flows through a galvanised iron pipe (? = 0.15 ??) with a…

A: Given: Here is the given figure, L1=4 m,L2=1 m,L3=2.66 m,L4=1.34 m, L5=0.5 m,L6=1 m. Density of…

Q: 8. Consider an iron bar, of diameter 4cm and length 1m, with specific heat c = 0.437J/(g K), density…

A: The diameter of bar is d=4 cm. The length of the bar is L=1 m. The specific heat of bar is Cp=0.437…

Q: Suppose that P540 lb. (Figure 1) Figure 1 of 1 Part A Determine the force in member AB, and state if…

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Q: Ross and Rachel are fighting if they were on a break. Ross is trying to get his stuff weighing 150.…

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Q: Determine the deformation of the beam at point H due to the load P. Assume that El is constant…

A: The given information in the problem is shown in the following attached image:

Q: the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I =…

A: Given data: E = 200 GPa = 200×109 N/m2 I = 98×106 mm4 = 98×10-6 m4 distributed load, w = 13000 N/m…

Q: Problem 19.2 After failures occurred in several cast-iron bearing housings an engineering testing…

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Q: 2. For the rotational mechanical system shown, find the transfer 02 (S) T(s) function G₂ (s) =

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Q: A Please enter your supplied question data (KN) P 300 KN Dimensions (mm) 65 mm B 45 mm (kNm) M 2.5 /…

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Q: A 76-kN centric load must be supported by an aluminum column as shown. Using the aluminum alloy…

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Q: Determine the required mass (in kg) of the suspended cylinder then find the magnitude of the…

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Q: In a standard Rankine cycle steam enters the turbine at pressure p3=10mpa and temperature T3=350c…

A: Given data: The inlet pressure at the turbine is, p3=10 MPa. The inlet temperature at the turbine…

Q: An ideal vapor-compression refrigeration cycle that uses refrigerant-134a as its working fluid…

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Q: The applied shear force is V = 22 kip. Part A Determine the maximum shear stress in the member.…

A: Given: V= 22kip

Q: The engine on a steam ship runs on the Rankine cycle. The steam leaves the boiler at 20 bar and…

A: Solution: Given Data: Pb=20 barTb=350oCηT=75%Po=1 bar   To Find: A. Determine the operating…

Q: The disk D, which has weight W = 15 lb, starts from rest on an incline when the constant moment M is…

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Q: Determine the moment of inertia of the area about: a) the x-axis b) the y-axis a=135mm b=75mm 75 mm

A: Given: a = 135 mm b= 75 mm The radius of the circle,r = 75mm   To find: Ix and Iy

Q: A cone clutch with cone angle 20° is to transmit 7.5 kW at 750 r.p.m. The normal intensity of…

A: The Power transmitted by clutch can be determined by the formula given below as- P=2πNT60 where P is…

Q: A welded connection is in equilibrium under the action of the four forces shown. Knowing that FA = 8…

A: Given: FA=8 KN FB=16 KN   To find: FC and FD

Q: A driving sprocket with 12 teeth drives another sprocket with 48 teeth by means of a chain having a…

A: According to the given data Number of teeth on driving sprocket (N1) = 12 Number of teeth on driven…

Q: 1.C3 Two horizontal 5-kip forces are applied to pin B of the assembly shown. Each of the three pins…

A: Given: To find: Program to find normal, shear, bearing stresses Permissible diameter

Q: from the pivot point. A mass M = 2 kg is situated at the end of the bar, a further distance b = 0.7…

A: Solution: Given Data: M=2 kgb=0.7 mm=1 kgK1=3 kN/mK2=9 kN/mC=10 N-s/kgF=FocosΩtFo=50 NΩ=34…

Q: Figure 2-56 shows a frame structure assembled with pins at A, B, and D A 5000-lbf weight is…

A: Given data:- weight of suspended =5000 lbf To find:- Draw a free-body diagram of the structure and…

Q: The man has a mass, m. He plans to scale the vertical crevice using the method shown. If the…

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Q: (3.b) A converging-diverging nozzle is designed to expand air from a chamber in which the pressure…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Why is it important for mechanical engineers to understand construction safety? What important…

A: Mechanical engineers play an essential role in the construction industry, and it's crucial that they…

Q: You want to stop the acceleration of the boxes in the figure above by applying an additional force…

A: Given

Q: 1. A 5,000 kg/min of water at 35°C enters a cooling tower where it is to be cooled to 20 °C. The…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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.