For the bounded and shaded region,
Q: a) Evaluate the surface area of a paraboloid :=4-2-y that lies above the ry-plane.
A: Given that To evaluate the surface area of paraboloid z= 4- x2 - y2 that lies above the XY plane
Q: A food engineer works with common mangoes and apples and wants to irradiate them with UV radiation…
A: Lets assume the shape of mangoes and apples to be spherical Now the area that the UV beam will…
Q: Q? Is Tz d² dez a linear operator ?
A: Given: T=d2dt2+t2
Q: a) Evaluate the surface area of a paraboloid z 4-- that lies above the ry-plane.
A: Given that the area of a paraboloid z = 4- x2- y2 that lies above the x-y plane
Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…
A: Given data: r=sinθLimits=π3≤θ≤2π3 Need to determine the area bounded.
Q: Find (I,) for the shaded area.
A:
Q: y coordinate of the center of mass of the disk
A: Take a small element in form of disc at distance y from origin having thickness dy Such that volume…
Q: The surfaces r = 2 and 4, 0 = 30° and 50°, and ø = 20° and 60° identify a closed surface. (a) Find…
A: Givenr=2 and 4θ=30° and 50°ϕ=20° and 60°
Q: a. Resultant Fore created by two Forees b Angle op direction from the po sitive nori 20n tal axis oF…
A:
Q: The regular hexagonal lamina ABCDEFIS placed parallel to the W. P. and having the following data:-…
A: Hexagonal lamina needs to be drawn which is parallel to the vertical plane. The distance between A…
Q: Lodate the certroid of the plain area shown by integration.
A: As per the guidelines, I can solve only first question at this time. For second question, repost in…
Q: Consider the mapping in 2-D only = X1 +7X2 = X1+ uz *2 = (1+e)X2 = X2+ Uz. (1) 1. In terms of y and…
A: As per honor code and answering guidelines I can answer 1st 3 subparts at a time.If you want other…
Q: 3.
A:
Q: 1) M H h On the cylindrical container above with a cross section area A we open a hole as shown with
A: Givencylindrical container below with A=cross section area of container Ah= area of the hole
Q: Calculate / F. dS where F = (4a°z, 4y°z, 32*) S is the surface of the solid bounded by the…
A:
Q: Find the centroid of the region bounded by the graphs of the functions y = 722, y = r² + 4 The…
A:
Q: Find the center of mass for a quarter of a uniform sphere in terms of the outside radius of the…
A:
Q: QS. Find I, for the shaded area. R25
A:
Q: How do you find the external forces' resultant and the application point
A: Draw the FBD for the given question.
Q: Find the coordinates of the center of gravity for the plane object shown on the fig. Consider that a…
A:
Q: Example 3: Determine the maximum value of F for which the maximum value of vertical component at in…
A:
Q: Com all 2.
A: In ∆ BDC , by pythagorew theoremCD = BC2+BD2 = 32+ 42 = 5 m No force act at joint B,…
Q: Define a point. Also describe projection planes like horizontal plane (H.P), & vertical plane (V.P).
A:
Q: A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according…
A:
Q: Find the sentroid of the plane area shown below. Show all the calculations. In.
A: To determine the centroid of the given plane area
Q: Find the moment finertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and…
A:
Q: Draw the projections of a cylinder 75mm diameter and 100 mm long lying on the ground with its axis…
A: Given: Object- Cylinder Dimensions are given as Base 75 mm dia and length 100 mm. ϕ=30° (angle made…
Q: A physical quantity which requires only magnitude for its complete description is known a
A: The physical quantities are generally divided into two categories viz. Scalars and Vectors. The…
Q: a) Determine DoF b) Obtain governing equations.(hari tontal plane)
A:
Q: A p arallel stab between two requlaur stab and n3=19 ¥ A ray is indd af hemiddle stab.W such that…
A: Given Data: The refractive index of the middle slab is n1=2 The refractive index of the upper slab…
Q: Calculate the solution of the two-degree of freedom system given by: = : 9 K = [ 31 x0) = 27 . x(0)…
A:
Q: | | | 2 = 2- = =y
A:
Q: Determine the vertical component of A.
A:
Q: The curved surface represented by AB in the figure is the surface of cylinder, hinged at A and…
A:
Q: function
A:
Q: Obtain the general solutions given the differential operators d. (2D – 1) y = 0
A:
Q: A 3kg box is displaced at a rate of 5m/s. How much force is required to stop the box in 644.828…
A: Given: The mass of box = 3 kg The velocity of box = 5 m/s Time, t = 644.828 μs=644.828×10-6s
Q: Find the general solution of d³y d²y 6. 3D3 = 3-cos X dx3 dx2
A: Given
Q: Consider an object made from two individual rectangles shown in figure. Each rectangle has a uniform…
A:
Q: Find the centrid of the area bounded by the given aerr, and
A: The centroid of an area can be considered as its geometric center. The coordinate of the centroid is…
Q: For the system to be in equilibrium the resultant must be
A: For the system to be in equilibrium the resultant must be Answer: Zero
Q: Find the Center of Mass of the point masses shown in the figure on the x-axis. Where M1 = 20 kg, M2=…
A: Given data as per the question M1=20 kgM2=40 kgM3=60 kgx1=5mx2=−8 mx3=10 m
Q: A circular agger of diameter A is cut into a uniform square metal plate with equal sides 2a. Where…
A: Let's assume that there are two sections in the structure on is the whole square and the other one…
Q: Use integration to find the centre of mass of the uniform lamina occupying the finite regi bounded…
A:
Q: Show how to calculate moments about a point in 2-dimensional and 3- dimensional systems.
A:
Q: Use the Finite Volume method to find general nodal equations for the CV of the geometry. Use the…
A: We have given Use the Finite Volume method to find general nodal equations for the CV of the…
Step by step
Solved in 5 steps with 10 images
- B-Determine the moment of inertia of the shaded area of the figure below about y axis only. Fig.1 BThe moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.Q3: Determine the moment of inertia about the CD axis. Fig (3)
- For the surface shown in the figure below, determine:a) The xc and yc coordinates of its centroid;b)The moments of inertia and product of inertia in relation to the centroidal axes x' and y' (axes parallel to x and y , which pass through the centroid);c)Using Mohr's circle, the new moments and product of inertia obtained by rotating these centroidal axes by 35° counterclockwise.9.45 If a = 180 mm and b = 400 mm , locate the centroid (x¯, y¯, z¯) of the wire.Q3: Determine the moment of inertia about the AB and CD axis. Fig (3)
- The coordinates of the centroid of the line are = 332 and = 102. Use the first Pappus Guldinus theorem to determine the area, in m2, of the surface of revolution obtained by revolving the line about the x-axis. The coordinates of the centroid of the area between the x-axis and the line in Question 9 are = 357 and = 74.1. Use the second Pappus Guldinus theorem to determine the volume obtained, in m3, by revolving the area about the x-axis.Determine the location of centroidal x and y and the moment of inertia Ix of the figure shown. Use the parallel axis theorem. Where B = 9, and Y = 82The figure below is a composite body consisting of the following parts: [1] the triangular prism of length 120 mm, width of (B-18) mm and thickness A mm; [2] the rectangular parallelepiped of length 160 mm, width A mm and thickness 18 mm; [3] the semicircular part with diameter A mm and thickness 18 mm; [4] the hole of radius 16 mm and thickness 18 mm. Dimension A = 52 mm; B = 51 mm. For which of the axes shown is the centroid trivial (known beforehand)? a. none b. x c. z d. The information provided is not sufficient e. I don't know (for no marks)! f. y
- A- Locate the centroid (X only) of the shaded area _>| w B Fig.1.A 'The uniform lamina of density 2.2 kg/m2. for a=2.2 m,b=4.8 m,c=8 m,d=8.9 m 1-The x-co-ordinate of total area centroid is: (a.8.27 - b.13.17 - c.7.05 - d.8.88 - e.6.13) 2- The y-co-ordinate of total area centroid is: (a.1.96 - b.2.68 - c.3.04 - d.1.61 - e.3.57) 3- The total mass is : ( a. 163.00 - b. 326.00 - c. 244.50 - d. 81.50 - e. 40.75 )1) Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines are colinear). a)The magnitude of the Area Moment of Inertia about the horizontal centroidal axis of the built-up member is _____in4. b)The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4. c)The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4. d)The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in. e)The magnitude of the Radius of Gyration about the vertical centroidal axis of the built-up member is _____in. f)The magnitude of the Radius of Gyration about the centroidal z-axis (aka Polar Radius of Gyration about the centroidal origin) of the built-up member is _____in.