Simplification Question: Steps from First Line to Second Line

  • Thread starter Thread starter theone
  • Start date Start date
AI Thread Summary
The discussion focuses on understanding the mathematical steps taken to transition from the first line of an equation to the second line. Participants express confusion about the sequence of operations following the factoring of an angle. There is a suggestion that both sides of the equation may have been multiplied by a specific term involving mass and inertia. Additionally, the need to establish a common denominator and collect terms by their respective powers of 's' is highlighted. The conversation emphasizes the importance of clear mathematical manipulation to achieve the desired result.
theone
Messages
81
Reaction score
0

Homework Statement


Does anyone know what was done to go from the first line to the second?

Homework Equations

The Attempt at a Solution


I don't know what sequence of steps they did after the angle was factored.
I think both sides were then multiplied by \frac{mls^2}{(M+m)(I+ml^2)} or something?
 

Attachments

  • Untitled.png
    Untitled.png
    25.5 KB · Views: 469
Physics news on Phys.org
From the original equation get a common denominator, mls2. for all terms. collect terms in s4,s3,s2 and s.
write Φ/U divide the numerator and denominator by the coefficient of the s4 term which is q. DA DA.
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Thread 'Making the denominator of a certain fraction real'

Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
View full post »

Similar threads

Intersection of two line segments from uniform distribution
Replies
17
Views
2K
Number of lines equidistant from four points on a plane
Replies
2
Views
2K
Angle between a plane and a line
Replies
2
Views
2K
Derive the equation of a line after x+(1/2)y =0 is mapped by T
Replies
15
Views
2K
Slopes product = -1 <===> lines perpendicular
Replies
10
Views
2K
Circle and a line dividing the circumference
Replies
48
Views
5K
Shortest distance between a line and a point?
Replies
6
Views
2K
Question about this technique for solving simultaneous equations
Replies
4
Views
1K
How Do You Determine the Polar Equation of a Line Perpendicular to a Given Ray?
Replies
6
Views
2K
Angle between two straight lines
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top