0.48 m 0.76 m २

Q: Two 20-mm steel plates are welded to a rolled S section as shown.Determine the moments of inertia…

A: Write the values of the S-section. Write the expression of the total area.

Q: Problem n2. Semicircle O 20mm 20mm 40mm Determine the polar moment of inertia of the bleu area shown…

A:

Q: 100 mm Problem (3) A 3-mm thick piece of aluminum sheet metal is cut and bent into the machine…

A: mass od all the sections m1 = ρV1 = 2270×(0.24×0.18×0.003) = 0.294 kgm2 = ρV2 =…

Q: Determine the moment of inertia of a rectangle 100cm by 300cm with respect to a line through its…

A: The moment of inertia of a rectangle with respect to a line through its center of gravity and…

Q: A 2-mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the…

A: From the given figure it is clear that the sheet consists of three surfaces, one semicircular…

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 the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

A: The shape can be obtained by subtracting the semi ellipse (3) and the semicircle (4) from the semi…

Q: Determine the moment of inertia and radius of gyration of the composite shape with respect to the x-…

A: Given:

Q: Two channels are welded to a rolled W section as shown. Determine the moments of inertia and the…

A: Write the properties of the C8X11.5 section. Write the properties of the W8X31 section. Write the…

Q: Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

A: Given Data: The radius of the circle is R = 6 in. The centre of the circle lies at the origin O.…

Q: Axes A and B are centroidal for a given non-symmetric area and the product of inertia about these…

A: Given figure Step 2 Breaking the figure into two parts

Q: 1 (a) Locate the centroid F (left edge) and ỹ (from bottom) of the shaded area. (b) Determine the…

A: Since you have asked multiple question, we will solve the first question for you.…

Q: The mass moment of inertia of a thin ring of mass m and radius R about the z axis is O A. (1/4) mR2…

A: The mass moment of inertia of a rhin ring of mass m and radius R about x or y axis =mR2/2

Q: A 2-mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the…

A: a= 100 mm b= 120 mm c= 200 mm ρ= 7850 kg/m3 let's assume small element inside cube with sides of dx,…

Q: A section of sheet steel 2 mm thick is cut and bent into the machine component shown. Knowing that…

A: The formula for the mass is: Here, ρ represents the density, V represents the volume, A represents…

Q: Determine the distance h for which the moment of inertia of the region shown about the x-axis will…

A: Understand that the given figure is divided into three parts for ease of calculation as the moment…

Q: It is known that for a given area Iy = 48 x 106 mm4 and Ixy = -20 x 106 mm4, where the x and y axes…

A: Given Data: The inertia in y-direction is Iy = 48 x 106 mm4. The inertia in xy-direction is Ixy =…

Q: A section of sheet steel 2 mm thick is cut and bent into the machine component shown. Knowing that…

A: Given data: The thickness of the sheet is t=2 mm. The density of the steel sheet is ρ=7850 kgm3.…

Q: 2. 1 Determine the moment of Inertia about given x and y axis in the following figure if a = 10 mm…

A: given data: radius of circle=a=10mm diameter=2a=20mm width of rectangle(b)=3a=30mm depth of…

Q: The machine element shown is fabricated from steel. Determine the mass moment of inertia of the…

A:

Q: Find (a) dm, (b) m, (c) write the relation for dI, (d) determine the moment of inertia for mass of…

A: Given,

Q: ectangle is 3 in. by 6 in. Determine the polar moment of inertia and the radius of gyration with…

A:

Q: Determine the moments of inertia about the centroidal x-axes of the trapezoidal area. a=147 mm;…

A: The dimensions of the trapezoidal area,a = 147 mm, b = 294 mm, h = 441 mm

Q: 2. Som y=400X 200 m T00m S0m

A: As per given question Determine the moment of inertia about the CD axis

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

A:

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: (a) Determine by direct integration the polar moment of inertia of the annular area shown with…

A: Given Data: The inner radius of the annular area is R1. The outer radius of the annular area is R2.…

Q: Two 20-mm steel plates are welded to a rolled S section as shown. Determine the moments of inertia…

A: Given, S section = S310 X 47.3

Q: 2. A rectangular prism (brick) has dimensions a (in x) b (in y) and c (in z) directions. Taking the…

A: Given  rectangular prism

Q: The machine element shown is fabricated from steel, where h = 64 mm. The density of Steel is y 40 mm…

A:

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.