The Angles (Old English: Ængle, Engle; Latin: Angli; German: Angeln) were one of the main Germanic peoples who settled in Great Britain in the post-Roman period. They founded several kingdoms of the Heptarchy in Anglo-Saxon England, and their name is the root of the name England ("land of Ængle"). According to Tacitus, writing before their move to Britain, Angles lived alongside Langobards and Semnones in historical regions of Schleswig and Holstein, which are today part of southern Denmark and northern Germany (Schleswig-Holstein).
Homework Statement
the measure of an interior angle of a regular polygon is given. need to find the number of sides in the polygon. i cannot find the formula to be able to do this.
Homework Equations
The Attempt at a Solution
I have read the sine rule:
It states-->
sin A/a=sin B/b=sin C/c = 1/2R
where R is circumradius.
Now,
a=2Rsin A
b=2Rsin B
c=2Rsin C
For a triangle R is fixed.
In an obtuse angled triangle, the side opposite largest angle is the longest(geomtrically)
But the sine of an obtuse angle...
Homework Statement
A spring-loaded gun can fire a projectile to a height h if it is fired straight up.
If the same gun is pointed at an angle of 45 degrees from the vertical, what maximum height can now be reached by the projectile.
1. h _
2. h / 2\/2
3. h / 2 _
4. h / \/2
5. h...
Homework Statement
Given a=2i+3j+k, b=i+2j+k, c=-i-j+k, calculate;
a)unit vectors b^ and c^ in the directions of b and c respectively.
b)the angle between a and c
Homework Equations
n/a
The Attempt at a Solution
I don't understand a) at all,
but b is just a simple dot product...
URGENT please: Find the angles, magnification, total length of the roometc. of paint-
Homework Statement
The well known 17th Century Dutch painter Johannes Vermeer only painted 30 paintings during his life.
However, they were created with incredible, almost photographic-like detail. The use...
Hello, for a school project we are constructing a robot to pick up defined size cubes but the sucker that pulls up the cubes off the ground is made of rubber gears that spin and suck them up. It works pretty good, but only when the robot is perfectly lined up on the cube, and I am wondering what...
Dear All,
My question goes as follows:
If we want equally distributed N-angles in a plane, then the angle between any two lines will be 360/N. e.g 5-equal angles will be calculated to 72-degs each.
Now if the same five lines (centred at one point) have to be equally spread in...
Homework Statement
A certain kind of glass has an index of refraction of 1.640 for blue light of wavelength 440 nm and an index of 1.605 for red light of wavelength 670 nm. If a beam containing these two colors is incident at an angle of 30.0° on a piece of this glass, what is the angle...
Homework Statement
A cable passes around three 2-in-radius pulleys and supports 2 blocks as shown. Pulleys C and E are locked to prevent rotatoin, and the coefficient of friction between the cable adn the pulleys are static = .20 and kinetic = .15. Determine the range of value of the weight of...
Homework Statement
Check out problem 5.7 part a
I want to express the exterior gravitational potential in terms of the Euler angles so that I might eventually use (dV/dB)B=B0 = 0 - the condition for equilibrium.
I am therefore expecting the Lagrangian to be cyclic in terms of the other two...
1. A skater with a mass of 81 kg is traveling east at 6.4 m/s when he collides with another skater of mass 45 kg heading 60° south of west at 13 m/s. If they stay tangled together, what is their final velocity, and direction in degrees (south of east)
2. Vix = M1V1/M1+M2 and Viy =...
Finding index of refraction using wavelength and 2 angles??
I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
Homework Statement
A small sphere with mass .015kg hangs by a thread between two parallel vertical plates .05m apart. The plates are insulating and have a uniform surface charge densities +σ and -σ. The charge on the sphere is q = 8.9 x 10^-6 C. What potential difference between the plates will...
[b]1. A set of new tires have a diameter of 2.0 ft and are warranted for 60,000 miles. What is the angle through which one of the tires will rotate during the warranty period?
[b]2. covert diameter in ft to meters and find the radius: .6096 x .5= .3048
convert miles to meters: 9.65 x...
This question really confuses me, I have got answers before but they don't fit with the answer in the book and it's due tomorrow
Homework Statement
A large helium balloon is attached to the ground by two fixing ropes. Each rope makes an angle of 50 degrees with the ground. There is a...
Hi guys,
This is my first time in this forum, thanks for your time.
Now, I learn about spherical angles (vektor) in 3 Dimension
I still confuse about the formula, such as:
Fx = F sinφ cosθ ( in X axis = i)
Fy = F sinφ sinθ ( in y-axis = j)
Fz = F cosφ ( in z axis = k)
I...
1. A 100N light is suspended from a beam with two wires. Both wires make angles of 40 degrees with the beam.
2. What is the tension in the wires?
3. Ok here's what I have so far...
Sum Fx: T2(cos 40)-T1(cos 40)=0
so T2=T1
Sum Fy: T2 (sin 40)+T1(sin 40+(-100)=0
so T2(sin 40)+T1(sin...
Projectile Motion "best angles"
Homework Statement
Collect sufficient and relevant empirical data to support the claim that for any initial velocity V there is a "best angle" theta 0ba that yields the largest horizontal displacement (change in x). Support the claim that there is a "best angle"...
Homework Statement
I need to predict how far a rocket will land given:
Delta Y = 2.032 (80 in ) - Height it will be shot from.
Angle - 35 (degrees)
My Average velocity is 23.3 m/s.
I need to repeat this for angles 40-60 [Increments of 5]
Homework Equations
I have these...
The four sided, a=110.50 ft, b=165.27, c=162.18, and d=a slightly curved line of 146. ft--
(from point to point, it still seems to be 146 feet,) anyway---This from a land survey---I believe the distances of width, center point and (height) can "prove" by the angles. The people I have been...
I tried posting this once already; I don't know where it went. So here goes again.
PROBLEM:
Three forces are acting on an object: 5.5N up and to the left; 6.1 N up and to the right; 9.3 N straight down. The system is in equilibrium.
Find the angles from the horizontal axis to the two...
Hi all, since scattering amplitude is given as:
f(theta) = summation over l(from o to infinity)(2l+1)/k exp(i(phi))sin(phi) Pl(cos theta).But what happen if i want to calculate the ratio of f(theta=0)/f(theta = pi/2).
Can anyone tell me the value of Pl(0).
Thanks
Homework Statement
a physics student pitches a sack of doorknobs into the air with an initial velocity of 24.5 m/s at 36.9degrees from the horizontal.
i know the:
time=3.0s
horizontal distance traveled=58.8m
time when sack is at max height=1.5s
max height sack reaches=11.03m
but i need...
1. I am considering the problem of getting the equation for a 3d vector(magnitude irrelevant) in cartesian coordinates when given 2 angles with respect to arbitrary axes.
2. I think that 180-angle1-angle2=angle3
3. So if the angle between the x-axis and the vector is 60deg, and the angle...
SOLVED
Homework Statement
A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the = 34.0° angle. The magnitude of the force applied by each rope is 3500 Newtons.
(I attached the image...)...
Homework Statement
quick question...im given the arc length ( 1m ) and the radius ( 1.5m )...to find the angle between the two vectors...do i just plug into angle=S/R?
Homework Equations
angle = S / R
The Attempt at a Solution
1/1.5= 0.67
Dear All,
Suppose you have two versors x and y. You would like to calculate the 3 Euler angles between them. How would you do that?
You know that
x=Ry where R is the rotation matrix (see e..g Goldstein).
Now the point is that I know both x and y and want to get phi, theta and psi (no...
Trying to implement QR decomposition using Givens rotations, I calculate G1 to zero n32 of original matrix A, then G2 to zero n31 of G1 * A, then G2 to zero n21 of G2 * G1 * A. Residual matrix, R = G3 * G2 * G1 * A comes upper triangular as expected, so I believe my code is correct.
Looking...
mass m suspended by a pair of vertical ropes attached to the ceiling
what are the rope tensions if they comprise a V shape each at an angle theta with the ceiling?
i have played with this problem for a while and i can't seem to find what the relevant equations are really only first time...
Homework Statement
Calculate the knee joint angle based on the XY coordinates of the hip, knee
and ankle joint centres.
Hip joint(x = 1.0183, y = 0.7959)
Knee joint(x = 1.1223, y = 0.5042)
Ankle joint(x = 1.0539, y = 0.1081)
Homework Equations
θjoint = θproximal −θdistal
The...
ive got the formula down as angle=cos-1[(u.v)/(||U||||v||)
with my u as 3,1,2 and v as -2,3,4 this gives me cos-1[(-6i+3j+8k)/root406) where do i go from here?
I'm having trouble visualizing double angles. What is the physical nature of double angles? I have books which talk about how to do math on double angles. I have seen websites about how to do math on double angles. But I have yet to find out WHAT a double angle really means. Where do they occur...
Hi.. am doing a project to plot the path of a moving vehicle in a coordinate system using accelerometers. To do this, I need to measure the angle that the vehicle rotates when it's going on a road. (Note this is not the tilt) Does anyone know if and how I can do this using only accelerometers...
(SOLVED) Calculator Entry ErrorAngles of Reflection of Light
A ray of light strikes a flat 2.00 cm thick block of fused quartz (n = 1.458) at an angle of θ = 27.0° with the normal (Fig. P22.18). Trace the light beam through the fused quartz and find the angles of incidence and refraction at...
Just wandering, I'm about to begin Cal III, I don't ever remember seeing a problem like this. I found the problem in a tool and die mathematics question book with no explanation of finding the answer. I'm wandering if anyone might be able to help me see how the problem should work. In high...
Hi there!
I need help with trig. I know how to find angles or sides etc. but the problem is I can't picture what this word problem trying to ask me. It would be great if you show me the picture, and I would most likely know how to figure out the sides.
Q1:
On a sunny day, the shadows of...
Homework Statement
Two 75.0 kg hockey players skating at 5.90 m/s collide and stick together. If the angle between their initial directions was 135°, what is their speed after the collision? (Let the motion of player 1 be in the positive x-direction and the motion of player 2 be at an angle...
Homework Statement
Im an apprentice electrition and my 2nd year principles exam is coming up. the question i ask is about Phase angles. It asks me to represent my data using a phase angle but in the book I am using there are no equations to show me how to get my phase angle. I am working on my...
We have the left-hand (motor) rule. We know exactly what happens when we run a current in a magnetic field.
Its reversible! The right hand (generator) rule tells us what voltages and currents occur when we move the conductor in a magnetic field. Interesting we have to do work to get it done...
[SOLVED] Wording Question Regarding Angles
If it says "to the horizontal", such as 30 degrees to the horizontal, would the angle be measured from Y or X? I measured it from the horizontal, but reading it over, it sounds like it's measured towards the horizontal, so I was thinking it may be from...
Homework Statement
You are playing bocci with your friends. You roll your ball towards your opponent's stationary ball (of equal mass) with a certain speed. After the collision, your ball travels along a path o32 degrees from its original path with a speed of 2.50m/s, while your opponent's...
i don't know what this angle on my paralellpiped is. basicallt just a trapazoid extruded on an angle. but also half of the front face is pushed back. i need to no what angle it is pushed back.
dimensions are:
10 by 8 with 120 60 degress (front n back face)
10 by 6 with 120 n 60 degress...
[SOLVED] Prove: Sum of angles > 180 in curved space
Homework Statement
If I have a positively curved space (i.e. a sphere) and I draw a triangle on it, the sum of the angles of the triangle exceed \pi, more precisely,
v1 + v2 + v3 = pi + A/R^2
where v1, v2 and v3 are the angles of...
Homework Statement
Tree A is 10 m tall. Tree B is 60 m tall. You're standing on level ground at a position that is 25 m from tree A and 75 m from tree B. You're eye height is 1.5 m above the ground. Find the ratio of theta B/ theta A, of the angles (measured from the horizontal) at which you...
Electric force angles problem :(
Homework Statement
Three positive particles of charges 11.0 µC are located at the corners of an equilateral triangle of side d = 14.0 cm (Fig. 16-38). Calculate the magnitude and direction of the net force on each particle.
Fig. 16-38
Homework Equations
F =...
Three Dimensional Angles?!?
ok, this is a stretch. I have an idea. If there are angles, measured in units of 1/360th of a circle. what happens when you add the third dimension factor. I thought it would be somehow measured in units of like the area of a sphere divided by 360^2 maybe. The...