-y = (a2/3 _ x2/3)3/2 х

Q: Determine the moments of inertia Ix and ly of the shaded area, with respect to an axis passing…

A: we know thatmoment of inertia along centre is given byI=bd312and according to parallel xis…

Q: By the method of this article, determine the rectangular and polar radii of gyration of the shaded…

A: Write the given data. ro=ari=0.36a

Q: 43 Determine the moment of inertia of the shaded area about the x-axis in two different ways. 4a

A:

Q: Q.2. Determine the moment of inertia of the composite area about the x and y axis. 150 mm -150 mm--…

A: find the moment of inertia about x axis and y axis.

Q: Determine the moment of inertia of the shaded area about the x and y axis shown below a horizontal…

A: SolutionGiven Data.y=0.25x3and  x=(y0.25)13

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the y-axis.…

A:

Q: Determine the moment of inertia and radius of gyration of the shaded area shown with respect to the…

A: Draw the small section of the given curve.

Q: 31 Determine the percent reductions in both area and area moment of inertia about the y-axis caused…

A:

Q: Two L4 x 4 x 1/2-in angles are welded to a steel plate as shown. Determine the moments of inertia of…

A: The section properties of the angles will be given as follows

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the y axis…

A:

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the y axis.

A: Given , Consider an elementary strip of width ''dx'' at a distance of 'x' fromy-axis .Area of…

Q: For the quarter ellipse shown, determine the orientation of the principal axes at the origin and the…

A: Given data: The height of the region is a. The base of the region is 2a.

Q: Determine the mass moment of inertia of the figure shown about the x,y, and z axis. The materials…

A:

Q: Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting the mass per unit…

A:

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: Given Data: The straight line y = mx passes through points (0,0) and (a,b) The parabola y = kx2…

Q: Determine the moments of inertia about the tangent axis x-x for the full ring of mass m1 and the…

A: To find: Ixx = ? for full ring Ixx = ? for half ring

Q: The L-shaped machine part is composed of two homogeneous bars. Bar 1 is tungsten alloy with mass…

A:

Q: Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page and…

A:

Q: Determine the moment of Inertia of the blue shaded composite area shown below about the y-axis only…

A: The given problem is divided into three parts Rectangle Circle Triangle 1. Rectangle: The moment…

Q: By the method of this article, determine the moments of inertia about the x- and y-axes of the…

A: find the moment of inertia about x and y axis.

Q: Using Mohr’s circle, determine for the quarter ellipse of Prob. 9.75 the moments of inertia and the…

A: I of rectangle=bd312Ixx=(100X8312)+2(8X32312+(8X32)(202)) mm4Ixx=252757.333…

Q: Determine the area moment of inertia Ix of shaded area about the x axis. Determine the area moment…

A: Draw the diagram for the further analysis of the moment of inertia of the shaded portion. In the…

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the y axis.

A: The equation of line is, y = mx The equation of curve is, y = kx2 At x = a, y = b substitute in…

Q: Which of the following is the measure of distribution of the body's mass about the axis about which…

A: Answer :- Radius of gyration

Q: By the method of this article, determine the rectangular and polar radii of gyration of the shaded…

A:

Q: A section of sheet steel 0.03 in. thick is cut and bent into the sheet metal machine component…

A: The figure is given as Mass of part 1 m1=γsgV1=γsgA1t=49032.21210.3750.0025=0.007133 lb.s2/ft Mass…

Q: Determine the mass moment of inertia of the steel machine element shown with respect to the y axis.…

A: Given data Determine the mass moment of inertia of the steel machine element shown with respect to…

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: Given Right angle triangle Base b Height h To find Direct integration the moment of inertia

Q: By the method of this article, determine the moments of inertia about the x-and y-axes of the…

A:

Q: The variable h designates the arbitrary vertical location of the center of the circular cutout…

A: find the moment of inertia about x-axis.

Q: By the method of this article, determine the moments of inertia about the x-and y-axes of the…

A: According to the details provided in the question, we need to calculate the moment of inertia about…

Q: For the mechanism shown, if link AB has a mass of 2 Kg and fixed at A, determine the mass moment of…

A:

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: Given Equation y=k(x-a)2 To find the moment of inertia of shaded area w.r.t to the x-axis Ixx=∫x2dA

Q: Determine the moment of inertia (in mm4) ix of the area shown with respect to the horizontal line…

A:

Q: Determine the moments of inertia Ix and ly of the shaded area, with respect to an axis passing…

A: To calculate the moment of inertia we have to de3vide the fig. in two parts as shown in fig.…

Q: Determine the moment of inertia and radius of gyration of the shaded area shown with respect to the…

A: Given data: The base of the shaded area is a. The height of the shaded area is h. The equation of…

Q: 4. Rods are attached end to end, made of L same material and have same thickness. Determine the mass…

A: given; lets take mass of each rod =m

Q: Q.2. Determine the moment of inertia of the composite area about the x and y axis. 150 mm -150 mm--…

A:

Q: Determine the moments of inertia of the shaded area shown with respect to the x and y axes when a =…

A:

Q: Determine for the quarter ellipse of Prob. 9.67 the moments of inertia and the product of inertia…

A:

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the y axis.

A: From the figure, the equation of the inclined line is, y=hbx Draw a small element on the shaded area…

Q: Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to…

A: Consider the vertical elemental strip.

Q: Using Mohr’s circle, determine for the quarter ellipse of Prob. 9.67 the moments of inertia and the…

A: The expression to calculate the inertia along x-axis is, Ix=π162aa3=π2a4 The expression to calculate…

Q: Determine the orientation of the principal axes of inertia through the centroid of the shaded area…

A: The theorem of the parallel axis says that the moment of inertia of a body on every axis is…

Q: Determine the orientation of the principal axes of inertia through the centroid of the shaded area…

A:

Q: The moment of inertia with respect to the x and y axis have been computed and are known to be L =…

A:

Q: For the composite area shown in the image below, if the dimensions are a = 4.3 ft, and b = 4.4 ft,…

A:

Q: Rods are attached end to end, made of same material and have same thickness. Determine the mass…

A: This diagram contains three rods - First rod is horizontal of length l , second is vertical of…

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.