Answered: Given the composite shape (a) Find the…

Given the composite shape (a) Find the moment of inertia with respect to y-axis and inertia with respect to x-axis, in cm^4. (b)find the centroid along x-axis and y-axis

Automotive Technology: A Systems Approach (MindTap Course List)

6th Edition

ISBN:9781133612315

Author:Jack Erjavec, Rob Thompson

Publisher:Jack Erjavec, Rob Thompson

Chapter3: Basic Theories And Math

Section: Chapter Questions

Problem 23RQ: When applying the principles of work and force, work is accomplished when force is applied to an...

See similar textbooks

Related questions

Q: Calculate the buoyant force on a 0.25 kg iron anchor that is submerged in plain water. Its…

Q: . Determine the moment of inertia with respect to an axis which is parallel to the plate and passes…

A: Given: W360 x 44 rolled steel beam To determine: The moment of inertia with respect to an axis…

Q: calculate the center of gravity of the profile drawn below, finding the values of Xcg and Ycg in…

Q: a sheet metal has the shape shown below and is immersed in a pond such that its upper vertex is just…

Q: The moment of inertia of a triangle of base ‘b’ and height ‘h’ about X -X axis passing through its…

A: bh3/36

Q: Use g = 9.81m/s2 and specific weight of water 9.81kN/m3. A solid %3D cylindrical pine (SG=0.5) spar…

A: The buoyant force acts through the centre of buoyancy, which is the centre point of the mass below…

Q: If the diameter of a column is 2.5 cm then the moment of inertia value is given by mm

Q: A loaded scow has a draft of 1.8 m in fresh water when erect. The scow is 6 m wide and 12 m long and…

Q: y 2 3 2 2 L=48| 5 6 In the given profile section: a) center of gravity b) the moment of inertia…

Q: Verify the given moments of inertia and find x and y.

Q: semicircular gate with a radius R is hinged along B and held by a horizontal forc oplied at A. The…

A: Given:

Q: A platinum disc aboard the International Space Station has a thickness of 6 in. and a diameter of 2…

Q: solution according to the question. Note : Figure not given. The top portion of an equilateral…

Q: 2. Centroid and Moment of Inertia for common geometric shapes and formulas

Q: Calculate the density of 100 g of gold if it occupies a volume of 5x10−6 m3.

A: Density is defined as the mass per unit volume. It is the property of the system. For the same…

Q: olve for the moment of inertia about x-axis (bottom-most part of the figure) and the Centroidal…

Q: A solid cylinder of diameter 5.0m has a height of 5.0 m. Find the metacentric height of the cylinder…

Q: Diagram of the problem, necessary formulas, clearance and numerical solution A sphere of radius 50…

Q: Given the theoretical expression for moment of inertia of a point mass, Im=MR2 what is the slope and…

A: a theoretical expression for moment of inertia of a point mass, Im=MR2 now plotting log Im vs log R…

Q: 5. Calculate the moments of inertia I1, I2, and I; for a homogeneous cone of mass M whose height is…

A: Homogeneous cone of mass M whose height is h and whose base radius R. Choose the z-axis along the…

Q: B. MOMENT OF INERTIA Direction: Solve the following problems related to Moment of Inertia. Show your…

Q: Given that the weight density of water is 9810 N/m3, calculate the fluid force (in Newtons) on a…

A: Given data :- weight density = 9810 N/m^3 dimension of plete = 1.6 m × 2 m depth = 4 m. find the…

Q: Consider the wing channel in (Figure 1) with h = 3.4 in. Neglect the effect of rounded corners. The…

Q: Assume the y of the beam below is 229.5 mm up from the base. What is the moment area of inertia of…

Q: 80 mm 60 m 20 mu Find Centeroid Y Find Ise

Q: y TEw: 100 TFW TFt: 20 TFI BFw: 80 Wh Wt BFt: 20 BFt Wh: 100 BfW 20 Wt:

A: Moment of inertia is a mathematical expression that is related to a body's tendency to resist…

Q: If YY is the centroidal axis of a T-beam section, subjected to plastic moment, Mp, the neutral axis…

Q: Consider the T-beam shown in (Fiaure 1). Suppose that a = 80 mm, b=150 mm,c= 10 mm Part A Determine…

Q: a) What is the moment of inertia of this rod for an axis at its center, perpendicular to the rod?…

A: Given : Length of rod , L=60cm = 60×10-2 m . Mass of rod , M = 0.3 kg(a) The moment of…

Q: 5m 1m Water A wooden beam of specific gravity 0.64 is 150mm x 150mm x 5m is hinged as shown on one…

Q: A rectangular plate has base b = 3 m and height h - 2 m . The Moment of Inertia about an axis…

Q: Physics Find the area moment of Inertia for the X axis of a thin CuBe rod, when it is being bent,…

Q: The mallet in Fig: P7–4 has a head made of steel and a cylindrical handle made of wood. The handle…

Q: Find the moment of inertia about an axis perpendicular to the page and passing through the pin at O.…

Q: Polar moment of inertia (I,), in cm, of a rectangular section having width, b 2 cm and depth d= 6 cm…

A: Given data : Width of rectangular section=b b=2 cm Depth of rectangular section=d d=6 cm

Q: 10. (II/III) A trough has a length of 5 m and semicircular ends of radius 0.5 m. It is made of sheet…

A: (a) Calculate the area of the trough, A1=π2R2×2A1=πR2A1=π0.52A1=0.7854 m2A2=πRLA2=π0.55A2=7.854…

Q: The shear stress and the polar moment of inertia are inversely proportional.

A: For solution refer below images.

Q: Semi Circle a = 200mm, b= 400mm, c= 400mm For the given composite geometry estimate the moment of…

A: Given data: The length of the side a = 200 mm. The length of the side b = 400 mm. The length of the…

Q: Consider the compact disc as a tick-walled cylinder has a mass of 16.0 g, and an outer diameter of…

A: Given Data: The mass of the compact disc is m= 16 g. The outer diameter of the disc is D = 11.6 cm.…

Q: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is…

A: Given External diameter = 8 cm Thickness of the pipe = 1 cm

Q: A cube of steel 0.3 m on each side floats in mercury. Using specific gravities of steel and mercury…

Q: The tank is filled with water. Suppose that h = 4.0 m. Solve the problem using the integration…

Q: Compare the following using brief explanations, illustrations, and mathematical equations: Inertia…

A: The inertia of any object is a property or tendency of an object to resist any change in its motion…

Q: Two L 152x102x12.7 angle brackets are welded to a steel plate that is 16 cm tall and has a width d…

Q: olid steel post is subjected to pure torsion. Given: -post Diameter = 65 mm -length = 2.75 m…

A: Given:Diameter, d=65 mm or 0.065 mlength, l=2.75 mtorque, T=2.4 kN-mG=78 GPa

Q: The homogeneous 12-cm cube in Fig. 2.116 is balanced by a 2-kg mass on the beam scale when the cube…

A: The density of ethanol at 20 degrees Celsius is The volume of the cube is

Q: The vessel is 20m long, 10m wide and 5 m deep. It has a draft of 4, when floating in an upright…

A: Solution: Given Data: L=20 mb=10 mh=5 mD=4 Note: Dear Student! As per bartleby guidelines, we are…

Q: 1) the resultant hydrostatic force, the line of action is on a centroid of surface area b center…

A: 1) The resultant hydrostatic force, the line of action is on: a centroid of surface area…

Concept explainers

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.

Question

Given the composite shape (a) Find the moment of inertia with respect to y-axis and inertia with respect to x-axis, in cm^4. (b)find the centroid along x-axis and y-axis

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

How many significant figures are in number? 3.12 x 10^5 km
Draw shear force and bending moment diagrams. 10 lb 816 3º 12 lb (A) | 15 N 余文大早林木 3m 2m 10N/m (B)
A horizontal force acts on the object whose magnitude is described by the graph below. What is the total work done by this force as the object moves 3 m in displacement? FA 3N 2N 2m 3m X 3.5 J O 5.0 J O 6.5 J 9.0 J
A glass fiber reinforced composite consists of 50% glass fibers and 50% resin. The glass fibers has a Young's modulus of 69 GPa, and resin has a Young's modulus of 3.4 GPa. The density of the glass fibers is 2.44 g/cm^3 and the density of the resin is 1.15 g/cm^3. Calculate the modulus of the composite material. Write your answer in GPa, to one decimal place and include units in your answer. Answer:
12 The density of a solid is its mass divided by its volume. If the mass is measured as 42.5 ± 0.5 g and the volume as 54 ± 1 cm', what will be the worst possible error in the calculated density? (787124 kg/m3)
The floor area of the model in the image below is 500 square inches, and the floor area of the house is 1,280 square feet. If the model has a room with a side length of 5 inches, then what is the scale factor for the model to the actual floor? ©2018 AlessandoMassiniano / Getty mages Plus O 5 in:8 ft O 5 in:12 ft O 5 in:36 ft O 5 in:64 ft
6:05 Gmail > صباحي 3.JPG 120 N 80 N 150 N 30° 40° 35° Fig D2 22
Porosity is a measure of the void or empty spaces in a material and is a fraction of the volume of voids over the total volume. The density of the solid material used to create 10 pieces of 1.05 cm diameter and 1.31 cm height cylindrical beads is determined to be 1.53 g/mL. These beads were then placed in a flask and was filled to the 36 mL mark with a salt solution. The total weight measured of the beads and the salt solution was 47.86 g. Upon further inspection, it was found that manufacturing defects caused the measured porosity of the beads to be at 29%. Assuming that the solution was able to fully fill the empty spaces inside the beads, calculate the density of the salt solution. Show your solutions in the next item (Kindly use GRESA, thank you) Round your answer to 2 decimal places.
1 0 Calculate the total volume of the cylindrical component below (not to scale): L1 D1- D1 = 1.12 cm D2 = 0.71 cm D3 = 1.58 cm L1 = 18.68 cm L2 = 15.36 cm L3=13.77 cm L4 = 9.77 cm Answer: Check L2 L3 L4 D2- What is the volume of the cylindrical component? (State your answer in S.I. units (m³), accurate to 3 significant figures) D3
When applying the principles of work and force, work is accomplished when force is applied to an object that does not move in the metric system the measurement for work is cubic centimeters no work is accomplished when an object is stopped by mechanical force if a 50-pound object is moved 10 feet, 500 ft.-lb of work are produced
Human fat has a density of 0.918 g/cm^3. How much volume (in cm^3) is gained by a person who gains 10.0 lb of pure fat?
On your new small car, you replace the factory-installed P185/75R14 tires with slightly larger P205/75R14 tires. Find the missing number in each statement: Show all of your work. P185/75R14 (Old) P205/75R14 (New) Width(mm) Aspect Ratio (%) Height (in.) Diameter (in)