A quarter circle segment with a radius of 50 mm is extracted from the square plate. Calculate the coordinates of the geometric center of the resulting new shape.

Q: For the machine element shown, locate the x coordinate of the center of gravity.

A: Consider the diagram of machine element given with notation of all components,

Q: Determine the mixed second moment of the shaded area shown in Fig. with respect to the x- and…

A: Draw the shaded part and divide it into parts.

Q: A CUBE OF 30 MM EDGE IS PLACED CENTRALLY ON THE TOP OF THE CYLINDERICAL BLOCK OF 52 MM DIAMETER AND…

A: Given data :-  Cube side = 30 mm Cylindrical Diameter = 52 mm  Height = 20 mm

Q: 1. Aforce of 200 Nis directed up to the left of an angle 30 degrees with the x-axis. Determine the…

A: Force = 200 N Angle 30o  NOTE : As per guideline , we can only do 1 question at a time . So, please…

Q: Locate the centeroid of the plane area/line. Express answer in terms of a and b.

A: Calculate the value of k. x=ky2a=kb2k=ab2

Q: For the machine element shown, locate the x coordinate of the center of gravity.

A: Given data To determine the x cordinate of the center of gravity

Q: Use Mohr's circle to determine the maximum and mini- mum second moments of area with respect to axes…

A: Consider the upper shaded rectangle as the second rectangle and the lower shaded rectangle as the…

Q: Determine the centroidal x-coordinate (in inches, round=off to 2 decimal places) of the plane region…

A:

Q: Redraw when the rack AB is aproaches parallel to horizontal. What are the other two angles belonging…

A: Given: Radius of the gear→r=200 mm=0.2 m If we represent the of the gear as O, then the distance OA:…

Q: Use Mohr's circle to determine the maximum and mini- mum second moments of area with respect to axes…

A: Initially, Moment of Inertia (second moment of area) and product of inertia will be calculated about…

Q: 24 in 21 in 24 in Determine the Y-coordinate of the centroid of the area (inches with two decimals),…

A: following is the solution

Q: A pentagonal prism with a base diameter of 25 mm and a height of 50 mm rests on one of its bases.…

A: A pentagonal prism with a base diameter of 25 mm and a height of 50 mm rests on one of its bases.…

Q: Determine the total area of the cross-section (in sg m) without disregarding the areas in the end…

A:

Q: A shell of diameter = 600 mm Height of the shell= 300 mm Height with corner radius=D0.6 mm It is…

A: Given: Diameter of shell, d=600 mmheight of the shell, h=300 mmHeight with corner radius, r=0.6 mm

Q: For the machine element shown, locate the 'y coordinate' of the center of gravity. Also, locate the…

A: Given: The machine element is shown below:

Q: Determine the second moment of area for the half circle shown in Fig. with respect to The x-axis.

A: The equation of circle whose center is at origin is given as, x2+y2=R2x=R2-y2 Considering a small…

Q: Determine the centroidal x-coordinate (in inches, round=off to 2 decimal places) of the wire figure…

A:

Q: Use integration to determine the x coordinate(and only the x coord.) of the centriod of the shape(s)…

A:

Q: Determine the total surface area of the solid brass knob shown.

A: Divide the solid brass knob into sub-sections and label them as shown in figure

Q: 7. Construct the third projection of the solid.

A:

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: For a=1.2 m, which of the following is the geometric center of the shaded area in m according to the…

A: The geometric center of anybody is also known as centroid. Centroid, also called as center of area…

Q: . Calculate the area (in square units) bounded by the curve y = 3e" -e²* and the x-axis. 29 18 5 35…

A:

Q: Draw the three projections of this solid

A: According to the details provided in the question, we need to calculate three projection views.

Q: (a) Find the centroidal axes (coordinates xc and xs) of the given composite area. (b) Determine ly…

A:

Q: 6. Given two projections of the solid, construct the third one. O

A:

Q: Calculate the coordinates of the center of gravity of the scanned area y 5cm 10cm 10си 4cm

A:

Q: The vertical component of the resultant equals to; (show also either it is positive or negative)

A: Given Data: The magnitude of force F1=30 kN The magnitude of force F2=26 kN

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

A:

Q: Osite figure a. Determine the area (in mm?) of the shaded part of the figure shown. 100 mm b.…

A:

Q: A ball of radius 5cm has a round hole of radius 3cm drilled through its center. Use Disk Method to…

A: First we find volume of ball radius having 5 cm then we will find volume of another ballhaving…

Q: What should the magnitude of P be so that the resultant is as small as possible? (Express your…

A:

Q: what is the magnitude of the resultant in y- direction?

A: Dear student,                     According to the guidelines I am allowed to answer only one…

Q: y 68 mm 17'mm 18'mm 27'mm mm х

A:

Q: Determine the mixed second moment of the shaded area shown in Fig. with respect to the x- and…

A: The given shaded area is divided into three parts Rectangle 120 mm×100 mm Semi-circle Radius, R=60…

Q: For the machine element shown, locate the z coordinate of the center of gravity.

A: Consider the volumetric section as shown below,

Q: Determine the second moment of area for the quar- with respect to ter circle shown in Fig. The…

A: The second moment of area of full circle about X…

Q: Using the method or composite figures, a. Determine the area (in mm²) of the shaded part of the…

A: GIVEN DATA - A COMPOSITE FIG. GIVEN WE HAVE TO FIND AREA OF SHADED REGION AND CENTROID

Q: Calculate the centroidal coordinates x measured from x-axes of the plane regions shown. Dimension…

A:

Q: Compute Ix and Iy for the region shown.

A: Divide the given region into the sub-regions as shown in the fig below,

Q: For the shape below use a table to find The x and y coordinates of the Centroid b. The Area Moments…

A:

Q: Determine the centeroid of the shaded area ?shown in fig Dimensions in mm 45 20 100

A:

Q: 2. Two chunks of metal with equal dimensions were welded together. Locate the closest approximate of…

A: To find :- Approximate centre of mass

Q: Find the X and Y coordinates of the center of gravity of the given area Y -- 20 сm 15 cm 15 cm 10 cm

A:

Q: Compute Ix and It for the region shown.

A: Given:- Shaded portion with dimensions To find:- Moment of inertia Ix

Q: Determine the centeroid of the shaded area ?shown in fig

A:

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

A:

Q: The neutral axis of the given built up section is nearest to ______ measured from the bottom of the…

A: Given data,  All the dimensions of W14x30 is given in the figure,  And  Neutral axis is the axis of…

Q: a about the indicated x-axis fe

A: given:

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.