Show that the moment of inertia of a sphere of radius R R of total mass M
Question:
Show that the moment of inertia of a sphere of radius R of total mass M with uniform mass density about any axis passing through the center of the sphere is 25MR2. Note that the mass density of the sphere is δ=M/(43πR3).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
Since the sphere is symmetric under an arbitrary rotation and since the mass density is uniform ...View the full answer
Answered By
ZIPPORAH KISIO LUNGI
I have worked on several other sites for more than five years, and I always handle clients work with due diligence and professionalism. Am versed with adequate experience in the fields mentioned above in which have delivered quality papers in research, thesis, essays, blog articles, and so forth.
I have gained extensive experience in assisting students to acquire top grades in biological, business and IT papers. Notwithstanding that, I have 7+ years of experience in corporate world software design and development.
5.00+
194+ Reviews
341+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The moment of inertia of a sphere with uniform density about an axis through its center is 2/5 MR = 0.400MR'. Satellite observations show that the earth's moment of inertia is 0.330SMR, Geophysical...
-
Use the result of Exercise 45 to calculate the radius of gyration of a uniform sphere of radius R about any axis through the center of the sphere. Data From Exercise 45 Show that the moment of...
-
Show that the moment of inertia of a uniform disc of mass M and radius R about an axis through its centre and perpendicular to its surface is equal to MR2/2. A record turntable is accelerated at a...
-
In 2012, the average credit score for loans that were purchased through Fannie Mae was 766. A random sample of 35 mortgages were selected, and it was found that the average credit score was 771with a...
-
Saturated ethylene glycol vapor at 1 atm is exposed to a vertical plate 300 mm high and 100 mm wide having a uniform temperature of 420 K. Estimate the heat transfer rate to the plate and the...
-
Sue Santos is a new entry-level accountant for a snowboard manufacturer. At the end of the fiscal period, Santos is advised by a supervisor to include as revenue for the period any orders that have...
-
An auditor is performing an attribute estimation sampling plan. Assuming a .05 acceptable risk of assessing control risk too low, a .04 tolerable rate of deviation, and a .01 expected population...
-
Refer to the scenario described in Problem 10 and the file BlueOrRed. Partition the data into training (50 percent), validation (30 percent), and test (20 percent) sets. Use logistic regression to...
-
CRM First Assignment You have just been promoted to a managerial position in marketing at the company you work for. One of your oldest complaints is that the company has never invested in a CRM...
-
Sketch the region of integration and evaluate by changing to polar coordinates. -2x-x S S 1 x + y 2 dy dx
-
Calculate the moment of inertia I z I z of the box W = [ a , a ] [ a , a ] [ 0 , H ] W = [ a , a ] [ a , a ] [ 0 , H ] assuming that W W has total mass M M .
-
The circuit in Figure 9-78 uses three two-input multiplexers (Figure 9-19). Determine the function performed by this circuit. Figure 9-78 Figure 9-19 13 12 lo 4 lo 4 lo MUX S MUX S S So N N 1 10 MUX...
-
Company A is a grocery store competing on low cost. Company B is a consulting services company that hires only Harvard and Stanford MBAs who also have at least 10 years work experience. Given only...
-
Which of the IOM recommendations do you feel provides the greatest impact on patient safety? Why? Assess the US healthcare system's actions regarding the four recommendations in the IOM report....
-
Sunburst Bakeries is a supplier of all kinds of bread and cakes to leading Australian supermarkets. It has several huge factories, each specializing in the production of a limited range of goods. For...
-
1. How does mitigation planning improve a community's resiliency? How can risk assessments be used to promote resiliency? Considering the articles you have read on this topic, what are important...
-
What are some of your everyday activities that require the use of business communications? - What is likely to happen if a business does not communicate effectively with its customers? - Why does...
-
The following costs were taken from the accounting records of the Barnwell Manufacturing Company: 1. State income taxes 2. Insurance on the manufacturing facilities 3. Supplies used in manufacturing...
-
Velshi Printers has contracts to complete weekly supplements required by fortysix customers. For the year 2018, manufacturing overhead cost estimates total $600,000 for an annual production capacity...
-
Evaluate the following integrals. csc* x dx cot? x
-
Evaluate the following integrals. csc 10 x cot x dx
-
Evaluate the following integrals. 7/4 sec 0 do
-
There are two children ages 10 and 6. Father earns $25 per hour and works 40 hours per week. Mother earns $10 per hour and works 20 hours per week so that she can be available when the children come...
-
Given an acceleration vector, initial velocity (40, Yo), and initial position (X),Yo), find the velocity and position vectors for t 0. a(t) = (cost, 3 sint), (u,v) = (0,5), (x,y) = (1,0) What is the...
-
Examine the use of non-linear narrative in Gabriel Garca Mrquez's "One Hundred Years of Solitude." How does this structure contribute to the magical realism and thematic richness of the novel ?
Study smarter with the SolutionInn App