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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: 1. (10 points) A thin plate of mass m was cut in the shape of a parallelogram as shown. Determine…

A:

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: A rod of mass 0.9 kg/m is welded to a hollow disc of mass 3 kg/m² as shown. Determine the mass…

A:

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: A thin plate with a mass m has the trapezoidal shape shown. Determine the mass moment of inertia of…

A: Given data To determine the mass moment of inertia of the plate with respect to

Q: . The thin plate shown is composed of a rectangular plate of mass 102 kg and a quarter-circular…

A:

Q: The mass moment if inertia of a cylinder about its central axis perpendicular to a circular cross…

A: Given data:-Moment of inertia:-Moment of inertia, represented as "I," quantifies an object's…

Q: The homogeneous circular cone shown has a mass m . Determine the mass moment of inertia of the cone…

A:

Q: A thin, semielliptical plate has a mass m . Determine the mass moment of inertia of the plate with…

A: Given data: *The mass of the semi elliptical plate is m. Let the thickness of the plate be t. Thus,…

Q: The thin plate shown is composed of a square plate of mass 80 kg and a quarter-circular plate of…

A: Given Datamass of the quare ms=80 kgmass of the quater-circular-50 kgsquare side s=1.5mradius r=1.5m

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: a 2-kg rod and of the pendulum mnd an axis pass- ах

A: Given: 2- kg of rod 6- kg of thin plate To find: The location of the center of mass G of the…

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: 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: 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: A thin plate with a mass m is cut in the shape of an equilateral triangle of side a . Determine the…

A: Each side of the given equilateral triangle is a units.             →Mass of the…

Q: 72. From a solid sphere of mass Ma hollow sphere of radius is removed. Moment of inertia of…

A:

Q: Determine by direct integration the mass moment of inertia with respect to the z axis of the right…

A: Given data: Right circular cylinder as shown in figure                      Mass given = m…

Q: The mass moment of inertia of a thin ring of mass m and radius R about the Z axis is m R2 (1/4) a O…

A: Moment of inertia: It is a measure of how a body changes in its rotational motion under the action…

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

A: To begin with, we have to find the mass of each part as indicated in the diagram below:

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: A square plate with a quarter-circular sector removed has a net mass m. Determine its moment of…

A: The area of the square is a2. The area of the quarter circle is πa24. The mass per unit area is…

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.