A circular plate with radius r = 0.785 m lies next to a rectangular plate with base br = 0.948 m and height hr = 0.770 m which lies next to a triangular, plate with base bt = 1.41 m and height ht = 0.712 m. Determine the center of gravity of the rectangular plate in the y-direction if its surface density varies in the x and y-direction according to σr = 4.84·x·ykg / m2.

Q: Determine the hydrostatic force in kN acting on an isosceles triangular plate of base 6.45 m and…

A:

Q: Determine the hydrostatic force in kN acting on an isosceles triangular plate

A: Dear Student, Complete Solution Given In The Below Image ,Kindly Look Into It.

Q: over it vity of oi

A:

Q: 45° SG = 1.0 50 cm A Hinge 10 cm SG = 0.9 80 cm B

A:

Q: Determine the Centroid Y of the above section.

A:

Q: A gate with a mass of 45 kg is hinged at point A. The gate dimensions are a = 90 cm and b =  60 cm,…

A: Given Data Mass of gate is :m=45 kg Inclination angle is : θ=45o Length of rod is : l=90 cm=0.9 m…

Q: The cross section of a concrete dam is shown below. Determine the resultant of the water pressure…

A: Consider a plane surface having area A is submerged in a static mass of liquid having specific…

Q: A solid cylinder made of cast iron has the dimension r = 30cm and h = 2m. The cylinder is to be…

A: Given: Dimension of cylinder: radius (r) = 30 cm, height (h) = 2 m Density of cast iron = 7.3 g/cm3…

Q: A circular wooden log is floating in water. It has a diameter of 1.41m, length of 6.5m, and…

A:

Q: Let x = a(t-sint), y = a(1-cost), 0 ≤ t ≤π , a > 0 cycloid and the density function of the mass of…

A: Pappus-Guldin theorem shows that the area of the base multiple by the circle's circumference around…

Q: The pipe shown in figure has a mass of 800kg. Determine the forces acting on the pipe. Assume the…

A: There are two main forces acting on the pipe: the gravitational force (weight) and the normal force.…

Q: The horizontal fuel tank with a circular cross section, d=2.6 m and length l=9.6 m, is completely…

A: Given data, Diameter of circular fuel tank, d = 2.6 m Length of the tank, l = 9.6 m Density of the…

Q: Consider an adult of 70.0 kg mass and 1.95 m tall sitting on the floor, with arms crossed and legs…

A:

Q: solve in peaper

A: There are two main forces acting on the pipe. These are:Gravitational force (Weight): This is the…

Q: 210 mm W₁ = 14 N 210 mm 210 mm ·105 mon r = 105mm (W₂ = 24 N 105 mm Find the overall center of…

A: According to the given data A cross-section is given  We need to find the centroid of the…

Q: When the cylinder in the figure is rotated in the direction of the arrow, the pressure inside the…

A: p=2ρ(1-4sin2(θ)+500l=2m

Q: A circular flap with a diameter d closes the outflow of water from a tank. The flap rotates around…

A:

Q: 90 cm View of the gate Oil (sg=0.90) Diameter 150 mm 60 cm 30 cm We have oil in a container, with a…

A: Step 1: Step 2: Step 3: Step 4:

Q: Q2) Determine the hydrostatic force acting on the circular window and locate its line of action

A:

Q: The homogeneous, planar plate of constant thickness in the figure the coordinates of the centroid…

A: Centroid of an area is a the point located in the area which is considered to be placed at an…

Q: The water side of the wall of a 45-m-long dam is a quarter-circle with a radius of 7 m. Determine…

A: Here we will calculate horizontal and vertical forces and then calculate resultant force.

Q: 2a 2a

A:

Q: Locate the centroid of the plate area shown in Figure. (SN/10) ft 1 ft 1 ft (MN/10) ft

A: The area of the triangle ABC is:A1=12×5.5×1+13A1=38.5 ft2 The area of the rectangle PBQR…

Q: The length of submerged gate AB is 7 m. Determine the amount of horizontal and vertical components…

A:

Q: determine the center of pressure in m of an isosceles triangle plate of base 5 m and altitude 5 m…

A:

Q: The machine member in Fig.P7–3 consists of a steel sphere and an aluminum rod. Locate the center of…

A: The weight of the sphere can be determined as,

Q: Calculate the horizontal and vertical components of the hydrostatic thrust on the 90 cm radius…

A: Given data :- Radius of cylindrical cover = 90 cm = 0.9 mγwater = 9.810 kN/m³θ  = 90°h = 1.20 md =…

Q: A spherical buoy has a diameter of 1m and floats half submerged in sea water. Determine the mass of…

A:

Q: Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure…

A:

Q: If the plate is replaced with a vertical triangular plate (base = 5ft and height = 12ft) where its…

A: Dimension of the triangular plate,base, B=5 ftH=12 ftbase is submerged  by 12 ft below the water…

Q: A 10 m long and 3 m deep rectangular vessel floats in water. The vessel is rotated 10° to the left.…

A: Given: The length of the vessel, L = 10 m The height of the vessel, H = 3 m The rotation = 10 degree…

Q: Determine the coordinates of the centroid of the area that lies between the straight line x =2y/3…

A:

Q: A swimming pool has a width of 12ft and a side profile shown in figure. gamma w= 62.4 lb/ft^3.…

A:

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 1.7m, b = 1m c =…

A:

Q: Given that a = 2in and the density of the fluid is 60 lbm/ft3, what is the pressure at point B in…

A: Pressure is the product of weight density of fluid and height of fluid from surface.

Q: When the connecting rod in the reciprocal engine of Fig. P7–10 is weighed, the spring scales read 3…

A: Given:- Weight A, wA=3 lb Weight B, wB= 7 lb   To find:- Center of gravity along AB

Q: 3 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the…

A: For the given shaded area  a = 13 m, b = 17 m and r = 1 m center of the circle is at the point (2a,…

Q: An elbow for the duct of a ventilating system is made of sheet metal with a uniform thickness.…

A: This problem can be solved by dividing the given geometry into different sections and then…

Q: A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the…

A: Given:The base of the triangle, The height of the triangle, The density of the water, The…

Q: a Yağ X=? Su 0.4 m Ide gösterilen taban kenarı a= 65 cm olan

A:

Q: ۲/۱ العنوان Le olle и برات The pipe shown in figure has a mass of 800kg. Determine the forces acting…

A: As a subject matter expert in Mechanical Engineering, the first step is to identify the forces…

Q: ۲/۱ العنوان Le olle и برات The pipe shown in figure has a mass of 800kg. Determine the forces acting…

A: As a subject matter expert in Mechanical Engineering, the first step is to identify the forces…

Q: The thickness of the plate given the top view is 2 mm. The plate is made of two different materials,…

A: GIVEN :- A top view of plate.thickness : t=2mmdensity of circular part : ρc=4g/cm3density of rest of…

Q: Determine the height h of the water level behind the dam that causes the concrete dam to be just…

A: Step 1: Step 2: Step 3: Step 4:

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.