Register
A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality
91.2k views
3 votes
A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.

User Ujeenator
by
7.8k points

1 Answer

4 votes

Answer: Mass of Lamina is (K/3)

Centre of mass is (3/8, 3pi/16)

Explanation:

Find explanation in the attachments

A lamina occupies the disk x squared space plus space y squared space less or equal-example-1
A lamina occupies the disk x squared space plus space y squared space less or equal-example-2
A lamina occupies the disk x squared space plus space y squared space less or equal-example-3
A lamina occupies the disk x squared space plus space y squared space less or equal-example-4
A lamina occupies the disk x squared space plus space y squared space less or equal-example-5
User Soumya Kanti
by
9.2k points
← Prev Question Next Question →

Related questions

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!