A hexagonal plane of side 30mm has a corner on the ground. Its surface is inclined at 45 degree to the HP and perpendicular to the VP . Draw its projections when the diagonal through the corner in the HP is parallel to the VP.

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) 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

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Q: Q3: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

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Q: 1. Draw the projection of a point “A" which is present 40 mm above HP and 30 mm in front of VP.

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Q: Find the centeroid of the shaded area ?shown in fig 6 R=1.5

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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…

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Q: Find the centroid of the shaded area about given axis, Figure. 1a

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Q: Given the shaded area below, y x= y² 2 cm 4 сm The first moment of an area (cm3) about the x-axis…

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Q: Q2. Draw the isometric view of a right circular cone of base diameter 50 mm and height of axis 80…

A: Here, Base side = 35 mm Height = 70 mm

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Q: 160 mm A + 80 mm

A: NOTE – I think there is typing mistake in question as radius of cylinder is 40mm and according to…

Q: Find the volume of a right circular cylinder of radius a and height h if the density varies as the…

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Q: Construct the third b' projection of the given solid and points A, B and C on its surfaces.

A: The side view and front view are given in the problem.

Q: Find the distance z¯ from the vertex of the right-circular cone to the centroid of its volume.

A: First consider a thin disc at a distance of z from the vertex of cone. The radius of the disc…

Q: Find the mass of a cube of edge a, if the density varies as the sum of the distances from three…

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Q: The figure shown is made from a piece of thin, homogeneous wire.Determine the location of its center…

A: Since the above figure is made from a piece of thin and homogeneous wire. its CG will coincide with…

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: 2. Calculate the centroid of the plane area shown in below figure- 2 below. Take hl = 14 cm and h2 =…

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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) Determine DoF b) Obtain governing equations.(hari tontal plane)

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Q: Determine the second moment of area for the el- lipse shown in Fig. with respect to The x-axis. 2 +…

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Q: A vertical pole consists of two parts, each one half of the whole pole. At a point in the horizontal…

A: Given: tangent by upper half = 1/3 base = 36

Q: Find the centeroid of the shaded area ?shown in fig Y R=1.5 4 6

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Q: Find the coordinates of the centroid of the plane region. The reg

A: given:

Q: 200 200 -400 400 300 300 Dimensions in mm The location of the centroid of the shaded area about…

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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…

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Q: Q. 1. A cone of base diameter 40 mm and height 50 mm is resting centrally on the top of cylinder…

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Q: The figure shows a cubical box that has been constructed from uniform metal plate of negligible…

A: Solution.

Q: 1. Find the centroid of the figure shown. 50 cm r = 30 cm

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Q: Find the centroidal coordinates of the plane region shown:

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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: Q3: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: Q3:-  Given data:-  cube edge = 24mm  Cone base diameter = 60mm  Cone top diameter = 40mm  Axis…

Q: Ql: A triangular pyramid of side 15 mm and axis height of 24mm is resting on the top of a pentagonal…

A: PENTAGONAL PRISM A pentagonal prism consists of two pentagonal foundations such as the top and…

Q: Find the area of the ellipse with vertices at (0,±3) and co-vertices at (±1,0)

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Q: Activity 1. A horizontal equilateral triangular plate ABC, 2m on each side, has weights 100N, 200N…

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Q: Find the volume of a regular square pyramid with the base side a and the altitude H.

A: We will be using calculus to calculate the volume of this pyramid let us take the red coloured…

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.