QUESTION 5 The uniform lamina shown in the diagram is formed by removing a square DEFG of side length a from the equilateral triangle ABC of side length Sa. The centre of mass of DEFG lies on the perpendicular bisector of AC Given that AC and DG are parallel and a distance a apart, work out the dist of the centre of mass of the whole lamina from B. O 0.898 O 1.89a O 289a O 3.89a W Sa

Q: The pendulum consists of a slender rod with a mass 1.6 kg and a circular plate with a mass of 4.7…

A: Given:The mass of slender rod is .The mass of circular plate is .Consider a diagram below:

Q: =√x² + y² and above by the plane z = 1. Find the center of mass and the moment of inertia about the…

A: Given:A solid is bounded by  and above the plane .The density is .Formula used:The expression for…

Q: What is the triangle’s moment of inertia about an axis perpendicular to the screen and passing…

A: Given data: s=89 mmm=0.4 kg/m Need to determine the moment of inertia about point O and G.

Q: Given the triangle described by the homogenous point matrix: [2 2 0 11 P=2 5 0 1 5 5 0 1] Scale it…

A: Given: To find: Scale it to three-fourth size

Q: Approximate the second moment of area of the rigid sheet shown below, rotating about the axis -y.…

A:

Q: Find the moments of inertia (J1,J2) of a homogeneous ring of circular shape with respect to both…

A:

Q: Determine and locate the resultant of the system shown in fig (3). If you know that the values of…

A:

Q: troid, ỹ on axis x'- x ' for the parts cross-sectic

A:

Q: L3 -x' L2 L3 L3 L3 LA L4 Find the moment of inertia of the cross-sectional shape about the x' axis,…

A: A centroid is defined as the geometric center of an area considered which indicates the average…

Q: For the circular thin plate with a square hole as shown in the image below, if the radius R = 0.41 m…

A:

Q: Find the center of mass (x̄, ȳ, z̄) of the object shown, given:   L1 = 20 mm,   L2 = 34 mm,   L3 =…

A: The given figure converted into two cuboids as: C1: (L6,L5,(L2+L3)C2: (L1,L2,L4)L1=20 mmL2=34…

Q: 3. y y' 1127 云→ L.

A: Given: Dimensions of the cross-section in XY plane are given as h= 30 mm, a=36m, L= 116 mm.…

Q: 50 mm 10 mm y IC 2.5 mm 40 mm -x 7.5 mm 10 mm

A:

Q: Find the center of the mass of a thin plate of constant density & covering the region 5 π T bounded…

A:

Q: R

A: Given system,  R=0.42 m and l = 0.18 m

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.