the volume generated by revolving the triangle whose vertices are (2,2), (4,8), and (6,2) about the line 3x – 4y -24 =

Q: The second moment of area for the *following figure is

A:

Q: Use Varignon's Theorem to find the moment that the forces in the diagram below exert about point A.…

A: Given: The force loaded system is shown below:

Q: The area bounded by the parabolas y2 = 4x and x2 = 4y is revolved about the y-axis. Find the moment…

A: To given thaty2=4x   Area=2x∫14ydx       =2x∫144dx       =2×2∫14xdx       =4x[x12+1]1412+1…

Q: How can we relate the internal moment to the radius of curvature?

A: In order to proceed the question, we must take some assumptions. Pure bending of beam. The internal…

Q: Find the area of the circle r = 2(sine + cose) by means of double integration.

A: The equation of circle is given as f(r) = 2(sin θ + cos θ) The area of a circle by the above…

Q: Q1/ A tetrahedron is determined by three edge vectors a, b, č. Find its volume when a = [5 3 2], 6=…

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Q: Q.3) For the machine element shown, find the coordinates of the center of volume. 2 in. 1 in. 2 in.…

A: Solution:

Q: If p(x, y, z) = 2xz¹-x²y, find Vop and Vol at the point (2, -2, 1).

A:

Q: The second moment of area for * the following figure is

A:

Q: What is the magnitude of the moment done by the force about the "z-axis" in the following figure.

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Q: The moment about point O in the figure shown is equal to zero. Find the angle (0) 1.5d F

A: Break Force F in components calculate distance AC,cosθ=ACdAC=d×cosθcalculate distance…

Q: Q4. A wire is bent into a curved shape in the (x, y)-plane, defined by x² + y² = 25 with z>0. Once…

A:

Q: PO 8 in.

A: Redraw the following figure for the given question.

Q: The second moment of area for the * following figure is

A:

Q: Find the moment of the force, F = 23lb shown above Figure with respect to the origin and with…

A:

Q: Find the angle between the vectors u (2,2,-1) and v (5,-3,2).

A:

Q: Find the areas of the parallelograms whose vertices are given in points A(1, 0), B(0, 1), C(-1, 0),…

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Q: The figure below is a composite body consisting of the following parts: the rectangular…

A: Consider the diagram shown below.

Q: For the planar area symmetrical with respect to the x-axis in the figure, the cross-section…

A: Consider the section as shown below, Area ABCD, A1=24a+ca+2aA1=24×1+31+2×1A1=42 cm2Centroid of…

Q: The moment about point O in the figure shown is equal to zero. Find the angle (0) 1.5d

A: Moment =force *perpendicular distance =1.5*d

Q: * Find the angle between two vectors Ġ= -î+ĵ+2k ‚, š= 2î+3ĵ-Ê

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Q: The second moment of area for the following figure is

A:

Q: Find the Moment of all the forces about A, B, C and D. 20N 40N 30N 20N 25N 30° 6m D 3m 15N 20N Sm…

A: Given:

Q: If an axis of symmetry for the cross-section exists, the shearthe center lies at a point on this…

A: Given: Axis of symmetry for the cross section exists Whether the shear center lies at a point on the…

Q: The second moment of area for the F following figure is

A:

Q: The first moments of the rectangle are Qx = 80 in3 and Qy = 60 in3.

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Q: Find the equivalent moment of force at point A. (consider positive clockwise direction). 100 lb 120…

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Q: How do you get the resultant moment (63.43 and18.43)? Can you explain it briefly?

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Q: 3. Find resultant torque about Find resultant torque about axis A for the arrangement shown below 30…

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Q: Forces of 80N and 120N act on the same object as shown in the figure below, find the resultant force…

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Q: R mm 150 mm א

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Q: Q2 \ What is the moment with respect to point O? All dimensions are in meters. 500 N 1.0 60° 2.0 45°…

A: It is required to determine moment about point O for given force system

Q: Find the center of mass of a thin, bent wire in a semicircle, as shown in the figure dl = a de 2=a…

A: Solution: Consider an elemental section 'dl' on the wire and dl is given by,…

Q: . Determine the resultant moment about point A of the system of forces shown in Figure 1- 30. Each…

A:

Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 7 in. 7 in. 7…

A: Understand that the given geometry is a combination of the following shapes.

Q: Find the moment of inertia with respect to y-axis the area bounded by x2-4y+8=0, the lines x=0 and…

A: The mathematical expression for calculating the area moment of inertia of an area about the y axis…

Q: How do you find the resultant?

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Q: By Cauchy's integral formula find the integral f 2³+4+1 dz, where C is the circle [2] = 2. z-1

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Write the given expression. y=1x2+1x2+1=1yx2=1y-1

Q: Find the angles between the force F = 1200i + 800j − 1500k N and the x-, y-, and z-axes.

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Q: . Determine the resultant moment about point A of the system of forces shown in Figure 1- 30. Each…

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Q: x = 4 m y = 0.6 m F = 5 kN theta = 47 degrees Find the Moment of F (in kN-m) about A.  Which way…

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Q: Find the moment of force about point A as shown in Figure? 10 m 90° 8 m 20 1000 KN C

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Q: Find an equation for the circle with the .center C(h, k) and radius a C(-2,-V3) , a = 2

A: Equation of circle is given below.

Q: below , knowing that the angle =60and ku=0.6 at point A and B

A:

Q: Find the moment of the force, F = 23lb shown above Figure with respect to the origin and with…

A: Given data, The force F = 23 lb The coordinates of A = (2, -3, 8) ft The coordinates of B = (7, 2,…