Question: The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the moment

The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the moment of inertia of the solid with respect to

(a) The x axis,

(b) The y axis. Express your answers in terms of m and a.

У y =kx3 2a х

y =kx3 2a

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

At Then x 2a 2a k 2a y 4a or k 1 4a Y 26 Now Then a Now ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

17-E-M-E-V-M-S (1170).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

Determine by direct integration the moment of inertia of the shaded area with respect to the x axis. r= kty

The parabolic spandrel shown is revolved about the x axis to form a homogeneous solid of revolution of mass m, using direct integration, express the moment of inertia of the solid with respect to the...

Determine by direct integration the moment of inertia of the shaded area with respect to the x axis. = 1

The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the mass moment of inertia of the solid with respect to (a) The x...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

please show all your work :) Using concepts from the solids of revolution, write out (but do not evaluate!) an integral that computes the volume of a torus with inner radius R = 5 and outer radius =...

Question 1 of 20 > 1 I U'l l : View Policies Current Attempt in Progress Just after a motorcycle rides off the end of a ramp and launches into the air, its engine is turning counterclockwise at 7020...

Math 1172 Project #1 Applications of Integration Due: Tuesday, September 12 Name(s): - - - - - - - - - - - - - - - - - - - - Description - - - - - - - - - - - - - - - - - - - The definite integral is...

W AutoSave Off M25a rotational statics and dynamics 03.16.22 (1) . Saved to this PC v 9 Search (Alt+Q) shemar tulloch ST X File Home Insert Draw Design Layout References Mailings Review View Help...

An analysis of Food Limited and McBurger Limiteds annual financial statements revealed the following balances for the deferred tax assets (DTAs). 30/6/17 30/6/18 30/6/19 Food Limited $140,000...

What is the structure of the polymer produced by anionic polymerization of ?-propiolactone using NaOH as catalyst? B-Propiolactone

Exercise 12-35 Internal Rate of Return Each of the following scenarios is independent. Assume that all cash flows are after-tax cash flows. a. Cuenca Company is considering the purchase of new...

ne of the organic compounds whose structure is given below, when undergoes combustion evolved 43.5 MJ/Kg heat. Find out the heat of combustion of this compound in J/g. ON NO2 NO2 Select one: O a 1.92...

3. The following table shows the cash flows of the investment in a financial product XYZ: Year Cash Flow ($) -150,000 1 72,000 3 82,000 5 10,500 Suppose that the annual interest rate of the...

From the given sentences, choose the sentence in which prepositions, adverbs, or phrasal verbs are used correctly. The names of the A students are listed by alphabetical order. Take those dirty shoes...

From the given sentences, choose the sentence in which prepositions, adverbs, or phrasal verbs are used correctly. The three friends had a A lot of common. The distance from one B) city until the...

1. Using a 10% interest rate, determine which alternative, if any, should be selected, based on net present worth. (50 points) First Cost Uniform Annual Benefits Useful Life, in Years A $ 5300 $ 1800...

Which of the plans in exercise 1.3 would be fairest? Exercise 1.3 A mandatory health insurance plan costs $4,000. One worker earns $24,500 in employment income and $500 in investment income. Another...

An 84-lb force is applied to the toggle vise at C. Knowing that = 90, draw the free-body diagram(s) needed to determine the vertical force exerted on the block at D. 7 in 9 in 24 in 40 in B S4 lb 24...

For the system and loading shown, draw the free-body diagram(s) needed to determine the force P required for equilibrium. 75 mm 200 mm 100 N 50 N

A small barrel weighing 60 lb is lifted by a pair of tongs as shown. Knowing that a = 5 in., draw the free-body diagram(s) needed to determine the forces exerted at B and D on tong ABD. 9 in. 6 in....

The position of member ABC is controlled by the hydraulic cylinder CD. Knowing that Î¸ = 30°, draw the free-body diagram(s) needed to determine the force exerted by the hydraulic...

Determine the internal forces (axial force, shearing force, and bending moment) at Point J of the structure indicated. Frame and loading of Problem 6.76. 24 in. 160 lb 10 in.

Question 1a: Is it possible for a risky asset to have a beta of zero? Explain why or why not. Question 1b: Your client, Smith, owns a portfolio that has $3,140 invested in Aardvark common stock and...