mathwizzard3
mathwizzard3 mathwizzard3
  • 19-10-2020
  • Mathematics
contestada

A rod with the density sigma(x) = 3 + sin(x) lies on the x-axis between x=0 and x = 3pi/4 find the center of mass of the rod

Respuesta :

extracounted
extracounted extracounted
  • 19-10-2020

Answer:

10.7 grams

Step-by-step explanation:

hey there, again!

this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)

mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax

= integral 0 to 3pi/4 of 3x + xsin(x) deltax

= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]

= 10.7 grams

Answer Link

Otras preguntas

In " Homesick," why does the author include sections in which the narrator addresses her grandmother in America? A. to show that Jean is very peculiar B. to dem
-11/2+47q/4=-q/4+1/2(8q-1)
Factor each number until all the factors are prime 30, 27, 48, 500
What are two ways the Olympic Games affect our lives today?
Katia collects stamps as a hobby. She has a total of 325 stamps in her collection. Part A: Fill in each blank with the digit from the correct place value 325=(
awnser plz! what is 4.031 in expanded form! also these 9.68 HELP ME PLZ
Jonathan has a collection of 400 marbles. Blue makes up 17% of his collection,how many blue marbles does Jonathan have?
what is the solution to -4x+5y=14 and 7x+3y=-1 I need the answer now.
What is 6050.287 rounded to the nearest ten
solve for x simplify the answer. this is extremely hard