A sphere V of radius a and center the origin has a density at each spherical coordinate point (r, 0, 4) & = r cos o. Calculate its mass.

Q: Topic: Centroid Graph and compute the center of mass/ centroid of the region R = {(x, y): 1 ≤ x ≤…

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Q: The figure given below; a) Find the coordinates of the center of gravity with respect to the (x, y)…

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Q: Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.…

A: Given data: ρx,y,z=kx2+y2z=h1-rr0 Need to determine the moment of inertia about z-axis.

Q: Determine the x and y coordinates of the center of mass of the homogeneous plate shown in the figure…

A: We know xcm=∑ Mixi∑ Miycm=∑ Miyi∑ Milet density =1 units

Q: Find the moments of interia of the area bounded by an ellipse about the x and y axes.

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Q: The moment of inertia of a triangle of base ‘b’ and height ‘h’ about X -X axis passing through its…

A: bh3/36

Q: Find 8 inextia the the moment fox of disk about X-axis (i) Y-axis ci) 2- axis the _Xotation (i)

A: Ans(a) Moment of inertia about X axis  Ix=1/4MR2. Ans(b) Moment of inertia about Y axis  Ix=1/4MR2.

Q: at distances of 100 mm from the central plane of the middle eccentric, find the amount of he masses…

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Q: A rectangular plate shown in figure Q-15 has b = 22 mm and h = 12 mm, moment of Inertia of the plate…

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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: Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines…

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Q: A hemisphere of radius 80 mm is cut out from a right circular cylinder of diameter 80 mm and height…

A: Given: The radius of the hemisphere is R=80 mm, The diameter of the right circular cylinder is d=80…

Q: A hemisphere of radius 80 mm is cut out from a right circular cylinder of diameter 80 mm and height…

A: In the given problem, we will consider full right circular cone as  area (1) and hemisphere as area…

Q: Find the center of mass for a quarter of a uniform sphere in terms of the outside radius of the…

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Q: Following square plate of a x a has an opening of h × .If a =1 m, find magnitude of h which results…

A: The centroid of the remaining plate is given as: x¯=0y=A1y1-A2y2A1-A2A1=a2A2=ah2y1=a2y2=h2

Q: Calculate the y-ordinate of the center of mass of a blade that is shaped like a triangle of vertices…

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Q: For the coordinate system shown, determine the DIAGONAL of the transformation matrix [Q] for the new…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: В C In the figure above are scale drawings of four objects, each of the same mass and uniform…

A: Write the formula for the moment of inertia of a cylindrical disc for figure A and figure C. As A…

Q: The shaded area given in Figure 3; (a) the x-value of the center of gravity, (b) Calculate the…

A: For the given shaded area  r = 12 cm  L4 = 15 cm  To determine  (a) x-coordinate of the center of…

Q: Problem 3. Locate the center of gravity of the steel machine element shown below with respect to x,…

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Q: P d L R A square made of aluminum (density p = 2700 k m and has dimension L = 5.20 m and thickness e…

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Q: Calculate the moments My and My and the center of mass of a lamina with the given density and shape.…

A: Given ,                                         M=PAT                                  For lamince…

Q: i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global…

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Q: Problem 3. Locate the center of gravity of the steel machine element shown below with respect to x,…

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Q: 4. A bucket of water is set spinning about its symmetry axis. Determine the shape of the water…

A: Aa per given question   A bucket of water is set spinning about its symmetry axis. Determine the…

Q: . The piece shown is made by joining a solid rectangular parallelepiped with given density pp and a…

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Q: Find the center of mass a quarter of spherical crust of radius "a" a

A: The quarter of a spherical crust is shown from the front view below. Here, r is the distance from…

Q: Calculate the volume V of the solid generated by revolving the 90-mm right-triangular area about the…

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Q: Find the mass and center of mass of the solid with the given density function p. E is bounded by the…

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Q: Part C-Mass Moment of Inertia about an Arbitrary Axis Calculate the mass moment of inertia, IOG,…

A: Given that, l1=2.10 m,l2=3.30 m,Mass per unit length, m=9 kg/m,Iz'z'G=494.6 kg.m2   Calculate the…

Q: Find the coordinates of the centroid of the shaded area in the figure. (XG=?, YG=? ) Find the…

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Q: The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O,…

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Q: Which moment of area is needed to calculate center of pressure?

A: Centre of pressure is the point of surface where summation of pressure force acts at the point.

Q: Find the center of mass of a circular cone of regular steel of height (b)

A: Solution: Consider an element mass dm which is at a distance z from the vertex. Let 'r' be the…

Q: a hemisphere of radius 80 mm is cut out from a right circular cylinder of diameter 80 mm and height…

A: In the given figure, we wil divide the figure into two areas,  1: Volume of the cylinder 2: Volume…

Q: The shaded area given in Figure 3 ; Calculate (a) the x-value of the center of gravity (b) the…

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Q: With the Given image attached. Find: a) The area of the shaded portion of the figure above.…

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Q: For the area shown in the figure below, OAC is the area of a sector with center at C and radius…

A: It is required to find out the second moment of the area of the individual segments. After that, the…

Q: Consider the following composite body as Y shown. The composite body is made up of uniform rods each…

A: For solution refer below images.

Q: Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the…

A: Given that ,  Flat object bounded by the curves y=4xy=x2+b

Q: 4) The mass of the homogeneous thin metal plate is 65.0 kg. a) Find the coordinates of the center of…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: Locate the center of Mass ( X , Y , Z ) of the Homogeneous Block Assembly Shown in Fig ( 2 ) ?

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Q: a about the indicated x-axis fe

A: given:

Q: The welded assembly is made of a uniform rod having a mass of 2 kg per meter of length and two thin…

A: Given:- Mass of rod = 2 kg/m Mass of plate = 18 kg/m2   To Calculate:-  The coordinates of the mass…

Q: Locate the center of mass (x, §,2) of the homogenous block assembly. Hint: You'll need to use volume…

A: Here the formula for center of mass is same as that of areas. Just replace volume in place of area…

Q: D) A collection of "complex" shaped parts or holes 9. For the given area, the moment of inertia…

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Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing.