Find out the center of mass, Mathematics

Assignment Help:

Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on  the interval  [0 , Π/2]

Solution

Here is a sketch (diagram) of the region along with the center of mass denoted with a dot.

226_Find out the center of mass.png

Let us first obtain the area of the region.

A = ∫Π/20 2sin (2x) dx

= -cos (2x)| Π/20

= 2

 Here now, the moments (without density as it will just drop out) are,

2482_Find out the center of mass 1.png

The coordinates of the center of mass are then,

X‾ = Π/2 / 2

= Π/4

Y‾ = (Π/2)/ 2

= Π/4

Once Again, note that we didn't put in the density as it will cancel out.

 Thus, the center of mass for this region is as follow:

(Π/4, Π/4)


Related Discussions:- Find out the center of mass

Rewriting percent expressions, i have trouble going through problem in this...

i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in

Tutor, How to be an expert at expertsmind

How to be an expert at expertsmind

How organize data by circle graphs, Q. How organize data by Circle Graphs? ...

Q. How organize data by Circle Graphs? Ans. Circle graphs, or pie charts, are another way of organizing data sets into an easy-to-read format. They make it very easy to c

Gaussian elimination, Example1 :  Solve the subsequent system of equations....

Example1 :  Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3   = 13 3x 1 + x 3 = -1 Solution The initial step is to write d

Quantitative Technique in Marketing, a company''s advertising expenditures ...

a company''s advertising expenditures average $5,000 per month. Current sales are $29,000 and the saturation sales level is estimated at $42,000. The sales-response constant is $2,

Geometry, all basic knowledge related to geometry

all basic knowledge related to geometry

Physics of medical imaging, A radiograph is made of an object with a width ...

A radiograph is made of an object with a width of 3 mm using an x-ray tube with a 2 mm focal spot at a source-to-film distance of 100 cm. The object being imaged is 15 cm from the

Linear Equations, Tommy has a Nexus 4 that charges poorly. He placed his ph...

Tommy has a Nexus 4 that charges poorly. He placed his phone to charge,after 20 minutes the phone was 27% and after 85 minutes the phone was at 66%. Find how many percentage the p

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd