Find Ix the 2nd moment of area about X-axis ( the shaded area) * 6 10 6 3 8.

Q: 2. Given: Shaded area shown below Find: (1) moment of inertia about x-axis and (2) y-axis y =x!/2 1…

A:

Q: /Find the moment about 0 and its direction

A: For the above diagram,  we draw the free body diagram Resolving the forces,

Q: What is the solid area's second moment about the x axis? A. (include units with answer) |What is the…

A: The shaded area is shown below.

Q: Find the moment about the y-axis of the area bounded by x=4y-y^2 and y=x

A:

Q: B-Determine the moment of inertia of the shaded area of the figure below about y axis only. y -4m 4m…

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: 4. The composite area is composed of a triangle and a quarter circle as shown in the figure. Which…

A: to determine -  the first moment of area about x-axis

Q: Find the moments of interia of the area bounded by an ellipse about the x and y axes.

A:

Q: 7. Determine the moment about the point S. " 50 N ↑ R (-3,3) T(4,3) S (6,-3).

A: Solution:

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

A: Take a strip of thickness dy at y distance from x axis as shown given below .

Q: 1- Find the value of angle a, if T=450N, P=250N, F=485N, B=30°, and the resultant is acting along…

A: Given Data  F=485 N T=450 N P=250 N β=30°

Q: Q5) Determine the moment about the point (A) of the three forces on the beam shown in figure M = (…

A: Given data Forces acting on beam are 16N, 37N

Q: Determine the resultant moment of the forces shown about point O. 28 22 20 30 8 45 45 45 26 00 00

A:

Q: Find 8 inextia the the moment fox of disk about X-axis (i) Y-axis ci) 2- axis the _Xotation (i)

A: Ans(a) Moment of inertia about X axis  Ix=1/4MR2. Ans(b) Moment of inertia about Y axis  Ix=1/4MR2.

Q: Determine the resultant of the forces system of figure and its moment with respect to the C-axis?…

A:

Q: Determine the second moment of area of the shaded area shown in Fig. Qlb about the Y- аxis.

A: In this problem , we take two curves at 1 y = x2+50 and 2y =-z+50then we calculate moment of inertia…

Q: 09:the shaded area skown in the figure find Moment of Inertin With respect to the X-axis. 1 2cm…

A:

Q: Determine the resultant moment of the forces shown about point 0. 28 22 20 30 8 8 45 45 45 26

A:

Q: The force P is applied perpendicular to the portion BC of the bent bar. Find the moment of P about…

A:

Q: Determine the mixed second moment with respect to the x- and y-axes 25 mm 150 mm 25 mm 100 mm

A: The Mixed second moment is the covariance of two random variables and it is known as the central…

Q: Determine the moment of the four forces acting on the rod as in the fig. about point 'o' N OF N 07 N…

A:

Q: Determine the moment of the force about point O. 600 lb 20 0.5 ft 5 ft 30°

A:

Q: 9.1 through 9.4 Determine by direct integration the moment of in- ertia of the shaded area with…

A: Drawing the vertical differential element as shown below, It is given that,y=kx2+c    ............…

Q: Determine the mixed second moment of the shaded area in Fig. The x- and y-axes. with respect to

A: While calculating IX  'b' will act as a base IBase=bh312Ix=IBase+Ay2                      (using…

Q: H.W Determine the second moment of the triangular area h-y shown wirit x-axis. dy using de finition,

A: Given,  A triangular lamina. To find - The moment of inertia or the second moment of area of the…

Q: i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global…

A:

Q: 3. Given that resultant moment vector along the negative x-axis is 500 Nm, find the value of F.

A: Given Data: The moment of the couple is Mx =-500 N-m. The moment of the force about the x-axis due…

Q: 1. For the Isosceles triangle shown to the right, find the moments of inertia, Iz and Iy, about the…

A:

Q: Determine from first principles the second moment of area of the shape shown in the figure below…

A:

Q: 1.5 m 1.5 m F = {50i + 75j - 25k} N-m

A:

Q: Find I,(2 nd moment of the shaded area about the x- axis) 6 3 Q. Cut circle dia = 2.5 6 Circle…

A:

Q: Determine the mixed second moment with respect to the x- and y-axes 4 in. 4 in. 12 in. 4 in. 4 in. 6…

A: The rectangluar section is drawn seperately as below, The area of the rectangular section is,…

Q: Given:  Ix= 1/4 pi r4 Iy= 1/4 pi r4 Find:  The moment of interia of the crosshatched region…

A: Moment of Inertia of CrossHatched region is equal to Moment of Inertia of Outer disc - Moment of…

Q: Translute The triangle R-(2,2), Pa(6,2), P3- (45) by 1unit in axes and 6in y-axes

A:

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: . Derive the second area moment of shaded region (Figure 1) about horizontal axis (X), vertical axis…

A: Let us divide the section as shown below, Write the second moment of inertia of square section…

Q: Determine by direct integration the moment of in- 9.9 through 9.11 ertia of the shaded area with…

A: To find the moment of inertia with respect to x-axis;

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

A: given: a figure

Q: Find I,(2 nd moment of the shaded area about the x- axis) 6 3 Q, Cut circle dia = 2.5 6 Circle…

A:

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

A: Given data: The equation of the curve is y2 = x. The curve area is from x = 0 to x = 4 in.…

Q: 25, 50 25

A: given:

Q: Determine the second moment of area for the shaded region shown in Fig. with respect to The y-axis.…

A: Consider the diagram shown below for the elemental area.

Q: Determine the mixed second moment with respect to the x- and y-axes 40 mm 150 mm 40 mm 150 mm 150 mm…

A:

Q: 6) Determine the moment of the forcc about point 0. 500N 3m

A:

Q: Determine the moments of the shaded area about the x- and y-axes

A:

Q: 11. Using the vector method, set up the cross product to find the moment that F2 produces on point…

A:

Q: What is the moment of the force F = 595 N about line OC.  Have the answer be in Cartesian form

A:

Q: For the position shown find the moment about center O. 200 N 450 mm 20° 650 mm 125 mm

A: given data; if we can zoom out; then,

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.