A thin rectangular plate is welded on the center of the top of a circular cylinder. The mass of the cylinder is 5kg and the mass of the triangular plate is 2kg. Note that the x-axis is located on the centroid of the cylinder.  Which of the following is closest to the moment of inertia of the composite object about the x-axis? a. 0.712kgm^2 b.0.473 kgm^2 c.0.1074 kgm^2 d. 0.0401 kgm^2 Which of the following is closest to the radius of gyration of the composite object about the x-axis? a. 1238 m b. 0.0757 m c. 0.260 m d. 0.319

Q: T 1.56 2.56 -262626 -b -3b 26 x

A:

Q: For the composite object in the figure; Determine the position of the principal axes and the values…

A: Consider the section as shown below, Calculating moment of inertia about x-axis, Ix1=4412=21.333…

Q: Consider the lamina depicted below where the dimensions are given in mm. Determine the value of the…

A:

Q: The mass of the displayed object is 10 kg. Its moment of inertia with respect to Lyes of 10 kg-m2.…

A:

Q: A homogenous thin square plate shown has a mass of 60 kg. What is the mass moment of inertia of the…

A: Given data:- mass of square plate = 60 kg size of the square plate =1.5 m To find:-the mass moment…

Q: The machine element shown is fabricated from steel. The density of steel is 7850 kg/m³. Determine…

A: Given, a=35 mm,b=60 mm,c=20 mm,d=40 mm,e=70 mm,Density of steel, ρ=7850 kg/m2

Q: Calculate the moment of inertia of the steel (p = 7850 kg/m³) control wheel about its central axis,…

A:

Q: From the figure shown below, the mass of the rectangular prism is 50 kgs, mass of rod is is 10 kgs…

A: The mass moment of inertia of the cuboid about the y axis can be determined as,

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

A:

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A:

Q: Two identical solid spheres are attached on the 2cm diameter solid rod with the density of 7750…

A:

Q: calculate Inertiax-x calculated the centroid with respect to Y, calculate the Inertiay-y Enter the…

A:

Q: Determine the moments of inertia with respect to centroidal axis for the cross-sectional area of the…

A:

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

A: Given:density, ρ=1300 Kg/m3

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

A: Given: l=445mm=0.445mb=370mm=0.370 mh=80 mm= 0.08 mρ=1300 kg/m3 The mass of block is calculated as:…

Q: The moment of inertia (1) for a rectangular section of base (b) = 30 cm and depth (d) = %3D 20 cm is…

A:

Q: Determine (a) the moments of inertia for the cross-sectional area of the member shown in figure…

A:

Q: The variable h designates the arbitrary vertical location of the bottom of the rectangular cutout…

A: It is required to determine moment of inertia of the given shape about x axis at: (a) h = 60 inches…

Q: The difference between the moments of Inertia of area A with respect to the x1 and x axes is…

A:

Q: 3. Determine the moment of inertia with respected to x- (horizontal) and y- (vertical) axis through…

A:

Q: Q2. An L-bracket shown below is made from a thin plate of homogeneous material, with a mass per unit…

A: The mass per unit area is

Q: Given one thin rod connecting two similar solid spheres as shown in Figure. What is the mass moment…

A: To determine the mass moment of inertia of the whole rod.

Q: heir origin at the centroi

A:

Q: A channel and a plate are welded together as shown to form a section that is symmetrical with…

A:

Q: Calculate the mass moment of inertia for a rectangular plate for the H-H axis shown in the link. The…

A: mass of the plate: m=8 Kga=5 m , b=1 m

Q: Determine the moment of inertia about the x-axis of the rectangular area without and with the…

A: Given data: rectangular outer values and inner values

Q: Compare the moment of inertia of the shaded areas with respect to the its centroidal x axis.

A: The formula to find the moment of Inertia is given by-  Ixx= bh3/12

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

A: Consider a rectangular plate having dimensions b and h. Then the rectangle of dimensions 0.57b and…

Q: Problem A.2. Calcu

A:

Q: The difference between the moments of Inertia of area A with respect to the x1 and x axes is…

A:

Q: Consider a rigid body consisting of three rods, each of length L = 0.7 m, and mass m = 9 kg. C the…

A:

Q: Determine the moment of inertia of the shaded area about x-axis. Set h= 5.7 cm.

A: h=5.7 cm

Q: Calculate total moment inertia of a lamina if the density is 7780 kg/m3 using theorem of parallel…

A:

Q: A built-up section fabricated by attaching a C180x15 to a W250x18 shape with 15 mm rivets as shown.…

A:

Q: Consider an L-shaped plate shown in the figure below. Calculate the moment of inertia 12z (in…

A: Mass moment of inertia Mass moment of inertia also known as rotational inertia is a quantity that is…

Q: Calculate the mass moment of inertia around the x 'axes and z 'that pass through the center of…

A: Consider the section as shown below :-

Q: For the blue shaded area shown in the image below, if dimension a = 1.5 m, determine its area moment…

A:

Q: The 0.2m diameter Aluminum cylinder below has a 0.1m diameter cylindrical hole cut from its center.…

A:

Q: 9 Find the moment of inertia of the rod and solid sphere combination about the ans & shows in The…

A:

Q: Use direct integration to determine that the area moment of inertia, Ixx, about the center of mass,…

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.