Homework Statement
I've seen many books writing the cosine rule like this:
a^2 = b^2 + c^2 - 2bc cos A
My electricity textbook for an electric field in a point between two charges says this:
E resultant = root[E1^2 + E2^2 + 2*E1*E2*cos(angle between E1 and E2)]
In the first equation it is -2...
That would be the cosine = A / H.
I need for example the blue triangle.
I know the hypotenuse of the red triangle, since 180mm / 2 = 90 mm.
But the hypotenuse of the blue triangle is for me unknown.
At first I was thinking if I can do this:
Since the cylinders are round, their diameter is...
I think I figured out my mistake, ignore post #18.
I figured out that my horizontal distances were wrong, I forgot that the L profile width should be neglected.
What you said is totally right, I just did it in 2 steps.
The first time I calculated the G force for both cylinders and e and...
You mean like this then?
-100N * 0.041m - 100N * 0.205m + Fye * 0.6m = 0
-4.1 - 20.5 + Fye * 0.6 = 0
-24.6 + Fye * 0.6 = 0
Fye = 24.6 / 0.6 = 41
But why do I need to use the adjacent for the two forces on the cylinders and the hypotenuse for "e"?
I used 0.5196m for "e" to get the force...
-100N * 0.041m - 100N * 0.205m + Fye * 0.5196m = 0
-4.1 - 20.5 + Ge * 0.5196 = 0
Ge = 24.6 / 0.5196 = 47.34N
Fye = 47.34 * cos(30) = 40.99N
I have the horizontal distance, but I still have it wrong.
Is there something wrong with my equation?
Two cylinders separately: (hypotenuse)
-100N * 0.09m - 100N * 0.27m + Fye * 0.6 = 0
-9Nm - 27Nm + Fye * 0.6m = 0
Ge = 36Nm / 0.6m = 60N
So this is the gravitational force on e?
So to get the normal force on e I need to: 60N * cos(30) = 51.96N
What am I doing wrong?
What I meant with the total force is that when I:
Fyb = 136.14 N
Fye = 36.96 N
N force = Fyb + Fye = 173.1N
There is a Y force working on b and e.
I don't understand what you mean with taking a point and finding moments.
Do you mean:
(If I treat the L profile as a whole)
-200N * 0.3m + Fye *...
You mean that the force of:
cylinder 1 + cylinder 2 + force on "e" = total force on Y ?
Fcylinder 1 = Fcylinder 2 = m * g * cos(30) = 10 * 10 * cos(30) = 86.6 N
total force on Y = 173.2 N = both cylinders?
What I do is clearly wrong since the force for both cylinders should be less that 86.6...
If I follow this
G = m * g
G = 20 * 10 = 200N
N = m * g * cos(30)
N = 20 * 10 * cos(30) = 173.2 N
f = m * g * sin(30)
f = 20 * 10 * sin(30) = 100N
So the X (Fxb) component is right, but why is my Y (Fyb) component wrong?
I made a new drawing.
This time is 1 cm = 50N.
I think I found Fxb, not sure, since it came out 100N
1cm = 50N
2cm = 100N
But Fyb is wrong and I don't understand the force on e.
Homework Statement
Two cylinders, each with a mass of 10kg, are lying on an L profile.
Neglect the thickness and weight of the L profile.
Calculate the reaction force in b and e.
Homework Equations
G = mg
The Attempt at a Solution
So I tried to make a free body diagram of the cylinders.
I...
RI = 10
U - 3RI - 2RI - 6RI - 4RI = 0
U - 3*10 - 2*10 - 6*10 - 4*10 = 0
U - 30 - 20 - 60 - 40 = 0
U - 150 =0
U = 150V
I found it, thanks for your help.