Problem #4: F2 = Y (N) F1 = 170 + C (N) 30º| 60° -2 m- -3 m- 4 m B F3 = X (N) 11. Determine the moment caused by F1 about A. (N-m)

Q: steel tension test specimen has a diameter of 6.00 mm and a gage length of 25 mm. The following data…

A: Answer : Data Provided : Diameter  of steel rod = 6 mm Gauge length = 25mm   To calculate : Material…

Q: Compute the coordinates of the centroid (7,5) of the area shown. Also compute the area moment of…

A: Given: a=14 mm b =113 mm c=18 mm d =49 mm h=99 mm w=14 mm Required: x and y coordinate of centroid…

Q: 300 30 14 1500 40 600.

A: Plastic Neutral Axis devide the entire cross-section into two equal area.

Q: cos^2 x = cscx cosx/tanx + cotx. prove the identity.

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Q: Fastly calculate the value of displacement Work done=20 J force%33 N

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

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Q: PROBLEM 2: Calculate the components of the forces at B and C. В D E A

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Q: Q1) Evaluate the following integral: S(csc X+ tan X)² dx [2 1 Q2) Assume A = |1 3 L3 41 [2 4 and B =…

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Q: net area in tension, Ant, of the L6 x 6x 3/8 angle shown in the figure is equal to:

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Q: Prove the following relation: e Yw 1 + e Gs a. Yd=Ysat b. Yd= (Ysat-Yw) Gs-1

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Q: Obtain the general solution of the DE: (xy + x) dx = (x²y² + x² + y² + 1) dy x)dx…

A: Given data: xy+xdx=x2y2+x2+y2+1dy

Q: : Prove that (1) Ya = Gs Yw 1+e

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Q: Solve the differential equation (x + sin y) dx + (xcosy-2y)dy=0 (A) B 2 2 +xsiny=c +ysinx=c Ⓒ+² 2…

A: Solution: Given: The differential equation: (x+siny)dx+(x cosy-2y)dy=0 Check for exact equation: The…

Q: Find the work done Force 20 N displacement=0.33 m

A: Given Force, F = 20N And displacement, s=0.33m Workdone,W = F*s=20*0.33 = 6.6 Nm Hence Workdone is…

Q: the answer quic

A: Given:- x3-2x-5=0 To find:- positive root

Q: Q2: use the inverse method to find the vlaue of X, Y and Z for the follwing equations: 2x-y+223D1…

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Q: Show that Ex 0x dy Ey Ez |x−Vy] E [ay-vox] E : (0x + ay) E [Ex + V€y] 1-v E 1-v² [ey + vex] [€y

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Q: equation using variable separable xy^3 dx + e^x^2 dy=0

A: xy3dx=−ex2dy xy3dx=−ex2dy   −xe−x2=y−3dy   c0+12e−x2=−12y−2 xy3dx=−ex2dy   −xe−x2=y−3dy…

Q: find the second derivative in its simplified form 4. y= e^4x - e^-4x  /  e^4x + e^-4x

A: Consider the given equation y=e4x-e-4xe4x+e-4x Calculate the derivative of given equation…

Q: tographs at a scale of S are required to cover an area X-mi square. camera has a focal length f and…

A: Photographs at a scale of S = 1:6200 are required to Cover an area X= 8 mi2The camera has a focal…

Q: Find the centroid of the area bounded by a?y = x3, the y axis and y- 8a = 0.

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Q: where did you get the values of tp=17.27 & do=24 ??

A: Given question,  How to get values of tp and do = ?

Q: Given data: Work done-600 J Force=30 N Determine displacement

A: Given data : Work done=W Force=F   To find : Displacement

Q: Solution must be accompanied by free body diagram 3. Resolve the forces into X and Y components.…

A: To find x and y components of force

Q: Determine the centroid of the area shown relative to the x-axis and y-axis,each small square is 2cm.…

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Q: Determine the force (P) required to cause impending motion, given that us = 0.43 and µk = 0.25. F1 =…

A: solution - Given Data:-  F1 = 506  Coefficient of static Friction = 0.43 Find, the value of P

Q: 6. What is the vector cross product 7 × F? r = 0.5i - 0.3j+ 0.9k [m] and F= -43i+54j + 61k [N]

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Q: Q4: Given two numbers a = 8.8909 x 103 and b=8.887 x 103. the difference between the two numbers (a…

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Q: 2. Given A and B: Find the sum and its Difference. -10 -2 10 -2 A = 14 12 10 and B 0. -12 -4 %3D 4…

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Q: 30° 60 Weight = P A A post with a horizontal and inclined member supports a box whose weight is P,…

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Q: Solve the following items below: What is the Cartesian product, if Let A = (x,y,z), B=(@,%}, C=(0,1}…

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Q: у" - Зу' + 2у%3D0

A: Differential equations

Q: Solve the equation 2y dx = 3x dy.

A: step 1-

Q: E= 30 LFel=? Y A FeloN 30

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Q: 3 m P 5 m I bf = 220 mm tf = 42 mm d = 430 mm tw = 38 mm FY = 250 MPa

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.