Calculate moment of inertia about the x-axis only for the following shapes:

Q: The figure shows a uniform rod OAB with a mass of 5 kg/m supported by a ball-and-socket joint at O…

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Q: 1. A heat pump consumes 28 kW of power and removes 154 kW of heat from the low temperature…

A: Power consumption of heat pump:And heat removal from the low temperature reservoir:Because heat pump…

Q: water is flowing at 4 m/s in a penstock pipe of 4500 m long. if celerity of the pressure wave…

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Q: The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine…

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Q: -0.6 m 0.6 m-0.6 m- m+0.6m 0m+0.61 900 N/m↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓↓ B IC 50° Solve for reaction at Point A…

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Q: 3. Consider the following mechanism shown in the figure: ● What is the value of 0 when OA is…

A: The length of crank, r = 80 mm

Q: At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while…

A: The velocity at A = 10m/sThe acceleration at A = 5.1m/s^2The velocity at B = 28.5m/sThe acceleration…

Q: When filled to capacity, the unpressurized storage tank contains water to a height of h = 39 ft. The…

A: According to the given dataDensity=We need to find The maximum normal stress and The maximum shear…

Q: Which failure theory would be appropriate to solve the following problem: A rotating shaft is…

A: Given:A rotating shaft is supported by bearings at each end. The shaft supports a single load in the…

Q: 3 kg of water, initially at 300 kPa and 200 degrees Celsius (state 1), supports a free floating…

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Q: Beam cross-section: 12 mm 30 mm Determine the Maximum Shear Stress in the beam. A/

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Q: Q2) A small aircraft has a wing area of 40 m², a lift coefficient of 0.45 at takeoff settings, and a…

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Q: L Figure 2 B 3√2 Figure 2 A beam AB of length L-1.5 m is supported by a pin at A and a cable BC at…

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Q: Below is the arrangement for a gear train. A motor delivers 200-hp at 540-RPM to the input gear A.…

A: The speed of gear A, NA = 540 rpmThe power delivers by motor, P = 200 hp

Q: Answer: Pmax= i kN

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Q: Provide a detailed breakdown of the safety and learning features included into the set.

A: It is asked to provide a detailed breakdown of the safety and learning features included in the set

Q: Determine the acceleration of each block and tension in the cords for both of these problems.…

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Q: The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is…

A: mass,m=5.3 kgb=0.45 mto determine:(a) Spring constant k(b)magnitude of angular velocity

Q: the thermal conductivity, in W/m-K, and the convective heat transfer coefficient, in W/m².K.

A: Given DataPlane wall thickness 2L=100 mmUniform heat generation Surface temperature Temperature…

Q: A 10 kg disc is acted upon an external force and a couple as found in the figure. The Disc was…

A: Mass of disk,m=10 kgRadius of disk,R=0.5 mMoment of inertia of disk,ID=0.25 kg.m2F=200 NM=20Nm

Q: Determine the maximum in-plane shear stress developed at point A on the cross section of the arm at…

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Q: How does the conduction of heat occur in a solid material, and what factors influence the rate of…

A: Heat conduction, also known as thermal conduction, is the transfer of heat energy by microscopic…

Q: In (Figure 1), F₂ = 410 N. Figure Fy 250 N 30% < 1 of 1 ▼ Part A Determine the magnitude of the…

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Q: (a) Extend the control volume analysis used to derive the continuity equation to three-dimensional…

A: In these given problem , the questions a) ,b) &amp; c) are different . According to our guidelines…

Q: Bonus Question: worth up to 20% additional on this assignment: Solve for shear and bending moment…

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Q: What are the key factors that influence the compressible flow behavior in a gas turbine engine, and…

A: This question is based on the concept of Engine performance.

Q: Question (1): The link AB has an angular velocity of 2 rad/s. Determine the velocity of block C at…

A: Given:To find:Velocity and acceleration

Q: The maximum bolt preload that can be applied is) Ibf.

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Q: The speed of a car increases uniformly with time from 38 km/h at A to 91 km/h at B during 16…

A: Speed of a car increases uniformlySpeed at A = 38 km/h VA = 38 × 5/18 = 10.55556 m/sSpeed at B = 91…

Q: Answer Step-wise with detailed explantions Please Answer the following question step-wise with…

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Q: A force of P = 20 N is applied to the cable, which causes a 175 kg of radius of Gyration KG = 0.42m…

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Q: A pair of spur gears with 20° tooth form transmits 1.0-hp. The pinion is mounted on the shaft of an…

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Q: A projectile is launched upwards, in a vertical direction with respect to the Earth's surface, with…

A: Given data :-V1=25 m/sHeight of station = 60 mHeight of glass window (h) = 1.5 mTime take to cross…

Q: Draw the shear force, bending moment and normal force diagram for the simple beam loading given…

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Q: how the plastic bostretches under a range of tensional forces

A: To explain:How the plastic bostretches under a range of tensional forces?

Q: A vertical load of 100-kN is supported by two rods. Determine the force in each rod AB. B 2.5 m

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Q: The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is…

A: The diameter of pin, d  = 19 mmThe bar width, b = 70 mmThe thickness, t = 15 mmThe average shear…

Q: An open tank 1.22 meter in diameter and 1.4 m height is filled with diesel oll (S.G.0.85). Assuming…

A: D = 1.22 m h  = 1.4 m S.G = 0.85 73% of its capacity is occupied by dieselTo find: Absolute pressure…

Q: A column is installed on two bearings and carries a pulley weighing 550 in the vertical direction in…

A: The weight of pulley, w = 550 NTotal tension in belt, T = 1500 N = T1 + T2 The power received, P =…

Q: Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 2750 mm² and an…

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Q: 3)→ Find-the-(x,y)-coordinates-of-the-centroid-for-the-shaded-shape-shown below:

A: Given:Shaded shape  To find:X and Y coordinate of Centroid

Q: This question is made of two separate parts related to figures 1 and 2. 2 m F a Figure 1 2m The…

A: Note :- as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q.2) As shown in the figure, gasoline (p=701 kg/m3, µ=0.51x10-3 N.s/m2) will be extracted from a…

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Q: If the allowable bearing stress for the material under the supports at A and B is o₂ = 810 psi,…

A: FBD

Q: 1. (a) The motion of a floating vessel through the surrounding fluid results in a drag force D which…

A: Since a) &amp; b) questions are different , so according to our guidelines, we are supposed to…

Q: The beam is supported by a pin at C and by a short link AB. Each pin has a diameter of 20 mm. Assume…

A: Length of the link BCAngle made by link AB from the horizontal:Diameter of each pinSo the area of…

Q: Nominal or engineering strain in the rod

A: Given DataThe gauge length of the specimen The initial diameter d0 =0.5 inYield stress f…

Q: Determine the forces in all of the truss members and the reaction forces. 30 in. Pin Roller 80 in.…

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Q: Determine the distance the ball is from the origin 3 s after being released from rest.

A: Given Data The mass of the particle The ball is initially at restFind OutThe distance of the ball…

Q: A dynamic torsional system, consisting of five disks keyed to a 1 inch diameter steel shaft is…

A: Given-Information:Moment of inertia at end disk,Moment of inertia for next disk, Distance between…

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.