Select the correct value of y at x = PI/3 for the following equation: y"+ y = 4x + 1Osinx while y (O) = 4 and y' (0) = 1 11.7 No one 12.2 O 10.8 5.3 O

Q: Calculate a) the position of the centroid b) the moment Ic, with respect to an axis passing through…

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Q: 1. Determine the centroid of the shaded area. Use 4 decimal places for the final answer. B Y y(x) A…

A: It is required to find the coordinates of centroid of shaded area

Q: Resolve F, into components along the u and v axes and determine the magnitudes of these components.…

A: Given data,  F1 = 250 N F2 = 150 N Resolve the F1 and determine the component of these force.

Q: 15 20 25 20 | 33 t (ms) 5 10 30 35 40 45 50 55 60 a (m/s?) 0 3 8 42 40 48 60 12 8. 4 3 60 I(f) =…

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Q: using X₁+ X₂+4X₁-9 8X₁-3X₂+2X₁ 20 4X1+11X₂-X₁-33, Assuming x(0) = x= x=0

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Q: Find 0B in radians using conjugate beam method

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Q: Consider the line y 6. = -- r Find the equation of the line that is parallel to this line and passes…

A: Slopes of parallel line are equal. The product of Slopes of perpendicular lines are equal to "-1"

Q: PROBLEM: From the figure shown, determine: a. Distance of the centroid from x-axis b. Distance of…

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Q: Find the solution of the following differential equation

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Q: fON 3 Given: 2y-2x-2 0 5.1.1 Write the equation in standard form. 5.1.2 Determine the co-ordinates…

A: As per answering guidelines, only 1st four sub parts are answered.

Q: To the data presented in the table, using the logarithmic transformation of the data y=a2.in which…

A: The Equation is given as Also the Value of X and Y are given in table XY17353270481355618871277

Q: Find x cordinate and y cordinate of centroid (In cm)

A: To find the coordinates of centroid- Given a = 70 cm b = 70 cm c = 140 cm

Q: Find ex, ey and y. NOTE: ex and ey in mm/mm and y in radians

A: Strain in x and y directions should be calculated and the shear strain should also be calculated.

Q: dy Find using logarithmic differentiation if y = %3D dx Va²+4

A: To determine the value of dydx for given function using logarithmic differentiation.   Given:…

Q: Analyze the given frame. P units in kN/m

A: given- a frame carrying UDL required- to find unknown reactions.

Q: Solve for the ybar (with respect to the bottom reference line or x-axis). of the figure. All…

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Q: Determine the moment of inertia with respect to the horizontal centroid of the figure. 250 38 300 25…

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Q: • A circular hole of diameter R is punched out from a circular plate of radius R shown in the…

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Q: The moment of inertia of the triangular shaped area is I, = 4.17 x 10 mm. Given m= 100 mm and n =…

A: The moment of inertia of the triangular portion about the x-axis is 4.17×106 mm4 To determine the…

Q: 2.a asks about this part 2.b asks about this part 100 N/m 50 N/m 1m y=50X²+150 N/m 150 N/m 2m 3m

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Q: A rigid beam of length 490 cm and uniform mass 89 kg suspends two masses on light strings at each…

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Q: W Find the area of the region that lies inside r=6 sin0 and outside r =2+2sin0

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Q: Obtain the solution of the following differential equations. 1. 3x?ydx + (y* – x³)dy = 0 2. y(x2 +…

A: Given: 3x2ydx+y4-x3dy=0. Calculation: 3x2ydx+y4-x3dy=0.ydx3-x3dy+y4dy=0        Since,…

Q: Q. 2 Find the position of centroid with respect to given X and Y axis of shaded portion in the…

A: Consider the figure,

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 7y = cos x Determine…

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Q: QI: Find the general solution of the differential equation y" + 4y' + 5y = 0.

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Q: With respect to coordinate axes x and y, locate the centroid of the shaded area in the figure, also…

A: Centroid  The centroid of a shape is the place in the section where the area is uniformly…

Q: Draw ILD for V in the following figure & write equation of А ILD for VA A TTTTTTT 6 m C 6m 18 m D 6m…

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Q: Determine the moment of inertia ly (m.4) of the shaded area about the centroid. Type your answer in…

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Q: For the figure shown, let a = 200 mm and b = 75 mm. 0/26/2 y → a/2a/2 √x Compute the moment of…

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Q: Determine the location of centroidal x and y and the moment of inertia Ix of the figure shown. Use…

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Q: X – 3 4. lim = 1 х-3 ух — 2- x→3 Vx – 2 – V4 – x |

A: Using the approximate method of substitution,   limx→3x-3x-2-4-x Divide numerator and denominator…

Q: Prove Δv/v = Δe/1+e

A: General formula for settlement due to compaction:

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.