The paraboloid is formed by revolving the shaded area around the a axis. Suppose that d = 128 mm and r = 80 mm . The density of the material is p = 5 Mg/m³ . (Figure 1)

Q: Find the centroid C(x, y, z) of the machine element shown in the figure below with respect to the…

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Q: a) Discuss rectangular components with the help of example? b) The 1800-N force F is applied to the…

A: (a) Rectangular component: When a given vector is divide into two component, and both the vector…

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

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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: 13. For the parabolic seawall shown in Fig. 3-34, what moment about A per ft of wall is created by…

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Q: (Mechanics and Materials) Question 1: Find the centroid and moment of inertia

A: The calculation for the centroid of L-shape –

Q: -length steel with a diameter at the wide end, twice the diameter at the narrow end determine the X…

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

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Q: Locate the centroid of the composite sheet metal in Figure Q4a if the material is homogeneous and…

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Q: he figure below is a composite body consisting of the following parts: [1] the triangular prism of…

A: Consider the diagram shown below.

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

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Q: Example 8.5 axis. Find the centroid of the area bounded by y = sin x between x = 0 and x = T, and…

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Q: (Fig. of radius a if the base (at z-=0) is held at 20° and the curved sides at 0°. Fig. 2

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Q: QI / In figure (a) , the weight of the gate is 12KN and the gate width is 2m. Find the force on the…

A: Write the expression for the force. Here, ρ represents the density of water, g represents the…

Q: A lamina has the shape of a triangle with vertices at (-3,0), (3,0), and (0, 2). Its density is p =…

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Q: In the figure shown, stop B will break in the force on it reaches 40 kN. Find the critical water…

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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: (6) Find centroid. 20 100 50 50 Dimensions in mm a) (0,66 1) b) (0,67 1) c) (28 1.50 8) d) (0,55 9)

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Q: Solve for the hydrostatic force per meter length acting on the radial tainter as shown in the…

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Q: ented at angle 30° to the x-axis. Take E = 200 GPa, I=4 × 10“ m* and A=4 × 10³m².

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Q: Q7: In Figure below the triangular gate hinged at it base as shown, find P. Take a = 5 ft Triangular…

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Q: oss section of a beam is as shown in Figure Q1(a),determine; (i) center of gravity with respect to…

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

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Q: In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 0 = 22.6°.…

A: Givenθ=22.6omass of slabe m=3.2g=3.2×10-3kgcoefficient of static friction μ=0.356area of…

Q: The gate is designed to hold water and spin about the hinge at point A. The gate is an isosceles…

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Q: he object shown below is stable and floating in the water. Please select the correct option for the…

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Q: Example (e). Find the centroid of the area shown below 12 P 1 2 Q 12 * 8

A: Now draw the tabulated column and fill the entries as follows.

Q: Draw a free-body diagram of the crate that has a center of gravity at G. (Figure 1) Draw the vectors…

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Q: The shown square plate is made from two different materials with densities of pi and p2 respectively…

A: Data given-  ρ1 : ρ2 = 1: 3

Q: 3) A hemisphere of diameter 60 mm is placed on the top of a cylinder, whose diameter is also 60 mm.…

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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: For the figure below find total area * Y 3 2 3

A: It is required to determine total area of given section

Q: How can we determine the Internal moment?

A: We determine the internal moment of beam step-step. Take a simply supported beam of length l…

Q: he second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous eam…

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Q: A uniform circular thin rod of radius 10 in. is attached to a pin at C and to the cable AB. Find the…

A: To find : calculate the centroid Cx,y Given : radius of  thin rod r=10in as we know that  centroid…

Q: Find the centroid of the region shown in Figure

A: Divide the given area into three sections as shown in the below diagram.

Q: R mm 150 mm א

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Q: A mechanical part is made up by the union of two triangles, as illustrated in Figure 3. Both…

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Q: QI/ In figure (a) , the weight of the gate is 12KN and the gate width is 2m. Find the force on the…

A: Given data: The weight of the gate is W=12 kN The width of the gate is b=2 m The height of the gate…

Q: Find the Centroid of (10x15x3)cm T-section as figure below.

A: Draw a labeled diagram of the given area. Due to the symmetry of the shape, the x- coordinate of…

Q: Find the centroid coordinate Xc, of the cross section, with respect to x-axis. Find the the second…

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Q: Consider the rectangular cardboard shown in the figure. If you cut a hole in the material, the…

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Q: Find the center of mass of the structure given in the figure below. Assume a uniform thickness of 20…

A: Consider the diagram shown below for the given body.

Q: 4. The intersection of two axis of symmetry is the of the area. C. axis center d. center of symmetry…

A: GIVEN DATA TWO MCQ QUESTION GIVEN WE HAVE TO CHOOSE CORRECT OPTION

Q: B1. Figure B1 show a cross section of a beam structure. The circular cut-out of the cross section…

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Q: QUESTION 5 The uniform lamina shown in the diagram is formed by removing a square DEFG of side…

A: The distance of the centre of mass of the whole lamina from point B: 2.89•a ... (Option C)

Q: Consider the rectangular cardboard shown in the figure. If you cut a hole in the material and…

A: Correct answer: (A) increases

Q: 1 m 2 m 1 m 2 m Find the centroid coordinate Xc, of the cross section, with respect to x-axis. Find…

A: Given: Area A1=2×2=4m2 Area A2=1×1=1m2

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.