Angle Definition and 1000 Threads

Only recently started to understand Euler angles and rotation matrices, and I am reasonably comfortable with the concepts already posted here. I am pretty sure I am missing something obvious, but I cannot figure out the way to solve this problem: A body in 3D space with a orientation defined by...

One sharp corner of a right-angled triangle is 50º. Calculate the angle between the raised height and the angle follower at right angles. So I know that the angles are 90º, 50º and 40º. How do I find the angle between the raised height and angle follower?

Hi, I need a simple way to measure the maximum angle/vertical displacement of a 3D pendulum (weight hanging from a rope) undergoing random impacts. What will work?

This is my first post on this forum so sry if this is in the wrong place, but also it’s a weird question so I don’t know where it falls exactly. Anyways my question is: when you have an angle, the further the distance is from the point where the angle forms, the distance between the two inner...

Homework Statement for an assignment, we must investigate physics in context, my selected context is a log flume ride, focusing on the final slope. the height of the inclined plane is 13m, the hypotenuse is 17m and the horizontal length is 11m, calculated with a scale diagram and kinematics...

I have a question in my book and it’s confusing me a bit. I tried to search online for similar solved problems but couldn’t succeed. So here it goes:Calculate the induced EMF in a conductor loop when the angle between \vec{A} ~ and~ \vec{B} ~is~ changed ~from ~{0 °}~ to ~{α °} in 1 second...

Homework Statement A crane is moving two equally spaced masses to the roof. One box is 10kg and the other box is 20kg. As the plank tilts towards the 20kg box, at what angle will each box begin to slide? The coefficient of static friction is 0.4 Homework Equations Newton's second law, Fnet=ma...

The orientation of frequency components in the 2-D Fourier spectrum of an image reflect the orientation of the features they represent in the original image. In techniques such as nonlinear microscopy, they use this idea to determine the preferred (i.e. average) orientation of certain features...

Distance and Optical Illusions Here is a problem which has probably a very simple solution even though it somehow eludes me. Imagine two targets, just like those used for shooting practice or darts, on a horizontal line, but a few meters apart. Let us say that you can hold your rifle aimed...

Homework Statement Find the cosine of the angle determined by the intersecting lines m1: (x,y,z) = (-2,1,4)+s(1,-3,4) m2: (x,y,z) = (-2,1,4)+t(-2,3,2) s and t are free variables Homework Equations a⋅b = length(a)length(b) cosθ The Attempt at a Solution I just did this equation using no...

Homework Statement Homework EquationsThe Attempt at a Solution Honestly , I have no idea about this problem . No theory whatsoever has been given in the book . Please help me in understanding this problem and the relevant concepts involved to solve it . Thanks

Homework Statement |a| = 2 |b| = ## \sqrt3## |a - 2b| = 2 Angle between a and bHomework EquationsThe Attempt at a Solution ##\theta## is angle between a and b So angle between a and -2b is 180-##\theta## [/B] ##|a-2b|^2## = |a|^2 + |2b|^2 -2|a||2b|cos(180-##\theta##) ##2^2## = 2^2 +...

Hi all, I have some difficulties understanding a formula for calculating the incidence angle for incoming solar radiation on a sloping surface. I found that: angle of incidence calculated as cos(j) = sin((pi/2)-surface slope)*sin(altitude angle) + cos((pi/2)-surface slope)*cos(altitude...

I have a very very unusual project requirement where I need a pocket video projection with the lowest possible projection angle or "longest possible throw-ratio". It's a pocket DLP projector so goal is to have the beam remain ,as much as possible, almost the same size as the DLP matrix, for a...

Homework Statement if a beam fixed at two points is on an angle say 45 degrees from the x or y-axis instead of running parallel to x-axis in most questions does this effect calculations? The force acting upon it would be a load directly downwardsHomework Equations N/A The Attempt at a Solution...

Homework Statement You should shoot a basketball at the angle ##\theta## requiring minimum speed. Avoid line drives and rainbows. Shooting from (0, 0) with the basket at (a, b), minimize ##f(\theta)= 1/(a \sin (\theta) \cos (\theta) -b \cos^2 (\theta))##. (a) If b =0 you are level with the...

Homework Statement The school football team has asked you for advice. During kickoffs the ball is not going far enough. The team's kicker shows you his kicks, and you figure out that he consistently kicks the ball so that it leaves his foot moving at 72 km/h. a) Predict the best angle for him...

According to my understanding, option D is the only possible value of R. I don't understand how options A, B and C are included. Please explain this question. Thanks. (regards)

Homework Statement A ball with a mass of 200g, is hanged on the roof of a bus with a rope (it's mass is negligible), when the bus starts moving, the rope makes an angle of 18°. What's the acceleration of the bus? Homework Equations ΣF=m.a The Attempt at a Solution The first thing i thought of...

Hello so I'm a high school student and I came up with this question and I wanted to know if this was possible to do? So I tried to research and find a way to find the length of DC and I couldn't find anything, so I am here to ask for help, is this possible? I figured it would go in the...

Homework Statement An electron is fired at 4.0 x 106 m/s horizontally between the parallel plates, as shown, starting at the negative plate. The electron deflects downwards and strikes the bottom plate. The magnitude of the electric field between the plates is 4.0 x 102 N/C. The separation of...

Hey guys, when you're linearizing a function that has a constant, what do you do to it? An example would be y = x^2 + 3, would you just linearize it using its derivative and get rid of the constant?

First, I am not a physician (just a normal guy from Argentina), and I know the short answer for the following question is "it isgyroscopic effect". But why?... My original question was: "I feel the effect when using "motor angle grinder", when turn off, you can move it any direction easy, when...

Homework Statement Hello, so I’ve been trying to find some possible way to calculate this: The initial Velocity and angle needed to launch a projectile and reach the coordinates (x,y). The maximum height the ball can reach before it starts to head down to the target value should be y+5m The...

Consider a 3D straight line passing through z-axis. Following two angles are given (available): (1) Angle of the line with the z-axis in X-Z plane (2) Angle of the line with the z-axis in Y-Z plane I want to know the true angle of the line with the z-axis, i.e.,the angle of the line with...

Homework Statement Homework Equations Moment of inertia Torque Angular momentum The Attempt at a Solution I think I can understand the physics of the situation. There will be a torque on the bus due to gravity while the back of it remains in contact with the cliff and it will start to rotate...

We are given the following: Let B = beta cos B = cos (2_/6)/5 cos θ = cos 3/4 Which angle is larger: cos (B - π/2) or cos (θ + π/2)? I found cos (B - π/2) to be about 0.557. I found cos (θ + π/2 to be about 0.731. So, 0.731 > 0.557. My answer is cos (θ + π/2) > cos (B - π/2). Book's...

1. Homework Statement The magnitude of the force F is slowly increased. The direction of the force remains the same. What is the magnitude of the force F at the moment the block looses contact with the floor? Homework Equations fnet=m*a[/B]The Attempt at a Solution fnety =...

Homework Statement Image below is a sketch of the situation. A pallet is vertically moved towards the conveyor. The purpose is that this stack of pallets (about 15 pallets) gets guided by 2 plate structures so that the stack is ligned out. Homework Equations I'm wondering now what the optimal...

Struggling a bit in my astronomy class. Trying to understand ..Is there a way to make a 90 degree angle between Earth, Mars, and the Sun? Mars would be the vertex. Is there a simple basic answer? TIA

A target is located at the distance 100 m and height 10 m. How much is the elevation angle of the shooter to be able to hit the target if the initial velocity is 60 m/s and g = $$10m/s^2$$? What I have done: 100 = 60sin$$\alpha$$t and 10 = 60sin$$\alpha$$t - $$\frac{1}{2}(10)t^2$$...

Given w = |v|∙ u + |u| ∙ v. If θ = ∠(u ∙ w) and φ = ∠(v ∙ w) then …. a. Φ – θ = 90° b. θ + φ= 90° c. θ = φ d. θ – φ = 90° e. θ – φ = 180° What I have done: $$\cos\theta=\frac{u\cdot w}{|u||w|}$$ and $$\cos\phi=\frac{v\cdot w}{|v||w|}$$ Then I substituted them as |v| and |u| to the given...

In a circle of radius 3 meters, the area of a certain sector is 20 m^2. Find the degree measure of the central angle. Round the answer to two decimal places. Must I use A = (1/2)(r^2)(theta)?

Does there exist a binary fractal tree… (reference: http://ecademy.agnesscott.edu/~lriddle/ifs/pythagorean/symbinarytree.htm ) …whose leaves (endpoints) lie on a circle and are equidistant? Consider a binary fractal tree with branches decreasing in length by a scaling factor r (0 < r < 1) for...

I'm having a hard time putting together a formula. I have 2 points (x0, y0) and (x1, y1) and an angle (k). Using this information I need to calculate a third point that is k degrees from the previous 2 points. Is it possible to do that? Thank you for your attention.

Homework Statement Considering 2 scattering particles with momenta ##p_{1}, p_{2}##, where ##p_{2} = 0## in the Lab reference. The momenta of these 2 particles after elastic collision are ##p_{1}', p_{2}'##, respectively. Due to the 4-momentum relation, we have ##p_{1i}p_{1}^{'i} = e_{1}e_{1}'...

Hello all, I have this question I struggle with... EDFB is a parallelogram. It is known that AB/BC = AD/DC. 1) Prove that the parallelogram is a rhombus. 2) It is given that: AB=9, AC=10, BC=AD. Calculate the side of the rhombus. I think I solved the first part. There is a theorem called...

Homework Statement So! The problem states that a grasshopper jumps from the edge of a table. We know that x-initial is zero and x-final is 1.06m. This is how far he jumped from the origin. The height of the table is unknown, but we know that the height of the grasshoppers jump with respect...

Homework Statement apparently your effective power is V_maxI_max * cos(x) where x is the phase angle. So I must consider only real power Homework Equations power = VI current = I sin(wt) The Attempt at a Solution Let impedence be = e^ix . I'll write current as Ie^i(wt) consideronly the real...

Homework Statement A plane, diving with constant speed at an angle of 53 degrees with the vertical, releases a projectile an altitude of 730m. The projectile hits the ground 5.00s after release. A plane, diving with constant speed at an angle of 53 degrees with the vertical, releases a...

Homework Statement Finding the maximum scattering angle of a particle whose mass in ##m_1## which hits with relativistic velocity ##v## a particle at rest with mass ##m_2<m_1##. The Attempt at a Solution I've written the 4-momenta (p before the collision, k after the collision and the z-axis...

Hello, I have an issue regarding a constraint related to an angle: Suppose I have masses 'A' and 'B' on an inclined plane ( of mass 'C') attached by a pulley. I place my origin as shown and I want to find a constraint relating angle β. so, I saw my classmate writing as follows to find...

Homework Statement I have the inclinination i which is the angle between the orbital plane and the plane of the sky, i [0,pi/2] if it is in the direct sense ans [pi/2, pi] in the indirect, so here i have an angle i=40 in the direct sense how can i calculate the i in the indirect sense Homework...

Homework Statement Homework Equations [/B] The two equations in the image, as well as (maybe) standard vector operations like dot product, cross product. The Attempt at a Solution [/B] So, I've tried to do what my instructor suggested and put everything in terms of Earth (Using RE and TE...

I am working on a computational project and I need to make a series of coordinate system transforms. To do this I will need the dihedral angles for methyl formate, but I cannot find this information anywhere. I've tried the CRC handbook, NIST chemical database, and other data bases, but I can't...

Homework Statement Two charges 2q and -q are located at x = 0 and x = a respectively. There are field lines extending from the positive charge and lines going inwards to the negative charge. Some of these lines go from the positive charge to the negative, but some go off to infinity from the...

Homework Statement Example 2.12 : A block pulled on a horizontal table with friction. A block of weight 100 Newtons rests on a horizontal table. The coefficient of static friction between the block and the table is µs = 0.8. a. If someone pulls on the block with a force F in the direction 37◦...

Homework Statement A ladder of length 5 m is resting against a SMOOTH wall, its point of contact being just below a first floor window. The bottom of the ladder rests on the ground and the coefficient of friction between the ladder and the ground is 0.28 A person of mass 78 kg climbs the...

Homework Statement Determine the coefficient of friction for a surface when the mass of an object is 300g and the angle of incline when the object starts to move is 29° Distance traveled and acceleration are not provided Homework Equations W = mg Ffric = μN N = mg cos(θ) μN = mg sin(θ) The...

For one of my current projects in computer vision (which really is a study in point clustering and tracking in a data stream of n-dimensional data), I have come up with a way to very quickly index a 2D angle between two points or the angle of a vector. Doing a little bit of investigation, and...