Angle Definition and 1000 Threads

Homework Statement The white ball in the figure has a speed of 1.81 m/s and the yellow ball is at rest prior to an elastic glancing collision. After the collision the white ball has a speed of 1.37 m/s. To the nearest tenth of a degree, measured counterclockwise from east, what angle does it...

Homework Statement An ice cube is placed on top of an overturned spherical bowl of radius r, as indicated in the figure. If the ice cube slides downward from rest at the top of the bowl, at what angle θdoes it separate from the bowl? In other words, at what angle does the normal force between...

I am seriously confused still about how to calculate the torque angle. Here is a sample question on my recent test that I got wrong. I just want to know exactly how you find the torque angle. Thanks

Homework Statement Estimate the diffraction angle. The spectrometer is made from rolling up a 30cm long piece of cardboard into a tube. Duct tape is placed over one end, and a thin slit is made. The other end has a diffraction grating held in place. I look through the diffraction grating and...

Homework Statement There is a plane flying at 200 km/h and wants to drop a bomb on a car traveling 130 km/h which is 78.0m below the plane. at what angle should the bomb be released? the answer is 45 degrees. Homework Equations sine law: SinA/a= SinB/b cosine law: a^2=b^2+c^2+bcCosA v=d/t...

Hi there, I'm doing a bit of amateur scale model making as a hobby, building shapes out of flat-cut pieces. Trigonometry is a huge help with this, but I've hit a snag where I'm trying to calculate the angle of a particular parallelogram so it fits with the rest of the geometry. 1...

Homework Statement The semicylinder of mass m and radius r lies on the rough inclined plane for which ϕ = 10∘ and the coefficient of static friction is μs = 0.3. Determine if the semicylinder slides down the plane, and if not, find the angle of tip θ of its base AB Homework Equations f=uN The...

Homework Statement A projectile is launched from an origin (0cm,0cm) on a tilted plane. The plane makes 30 degrees with the horizontal. The launcher sends the ball with a speed of 0.2m/s. At what angle should the projectile be launched to hit the target at (0.7m,0.6m) location? Assume there...

I am a Ph.D student currently interested in fluid flow in porous media (rocks in my case). I am currently trying to find the range of values for the contact angle in air-water-sandstone systems at shallow reservoir conditions (say 7.5MPa and 35 degrees C). The only value I have managed to come...

A trapezoid ABCD given : (1)$\overline{AB} // \overline{CD}$ (2)$\overline{BC}\ \perp \overline{AC}$ and $\overline{BC}=\overline{AC}$ (3)$\overline{AB}=\overline{BD}$ find the value of $\angle BAD$

Homework Statement What would the period be if the pendulum had been inclined to 90 degrees? What value of g does this correspond to? theta=90degrees. Just as a side note, theta=0degrees when the arm is facing vertically downwards towards the ground. g=9.8m/s^2 Effective length=0.275m. The...

Homework Statement Find the formula for the standard deviation (s_h) of heading angle, given the north and east standard deviation of position of two points (s_n1, s_e2, s_n2, s_e2), each point's north-east covariance (s_cov_ne_1, s_cov_ne_2) and the north and east distance between them (d_n...

Homework Statement Task: [/B] On a friction free loop de loop, a object (m=600kg with passengers) moves with a velocity of vu = 120km/h at the lowest point of the loop. The loop has a radius of r=15m. The position of the object is given with the angle α. Derive the formula for the velocity...

Hi, guys, i made an exercise, can you prove this? m(∠EAD)=[m(∠ABC)-m(∠ACB)]/2 If you have 5 free minutes, try it, i hope you'll like it! It's my first own exercise, so I would like some feedback, too. AD= bisecting(splits angle in 2 equal sides)

Homework Statement when the object is moving , why the theta is larger than the theta(s) when the object is started moving ? I was told that when the object is moving , the Fk will become smaller than Fs , right ? so, IMO , the theta should be larger than the theta(s) , am i right ...

Homework Statement The mirror in the image below deflects a horizontal laser by angle θ. What is the angle φ if θ = 60°. Homework Equations θi=θr The Attempt at a Solution So I know that, if I draw a line normal to the mirror, that will make it so that the incident angle and the reflected...

Here is the problem I am working on. I have found answers for all of them except part (f), which is the one I need help with. I will report the answers I have so far: A classic 1957 Chevrolet Corvette of mass 1240 kg starts from rest and speeds up with a constant tangential acceleration of 2.00...

Homework Statement See picture. Homework EquationsThe Attempt at a Solution I tried drawing a parallelogram, but it didn't help, so I'm stuck. I'd need an idea in the right direction, if possible.

Homework Statement A rod extends from a vertical wall at an angle of 27º from the horizontal. A 2.5-kg lamp is mounted at the end of the rod. After John throws his 300-g winter coat over the lamp, what is the magnitude of the tension in the rod? The answers choices are: A) 30N B) 70N C) 27N D)...

Homework Statement The mountain rescue officers trigger the avalanche by firing a gun at a distant mountain slope. The muzzle velcoity of the gun is 225m/s. The horizontal and vertical distance from the gun to the slope is x=1,072m and y=538m respectively. Find the lowest angle between the...

Homework Statement Ok guys, I'm studying Physics and I started, of course, by learning about vectors. So I have this problem: There are two vectors: A (its length is 3 m) and B (its length is 4 m). I have not other informations about them. I want to know how I can dispose them to get a vector...

I only really need help evaluating the contour integral. I added more detail for completeness. 1. Homework Statement A particle of mass ##m## is constrained to move on the ##x## axis subject to the following potential. V(x)=a \sec^2\left( \frac{x}{l} \right) Find the action angle variables...

Homework Statement Given the free-body diagram below, and that the body is in equilibrium, find θ. Homework Equations F = ma The Attempt at a Solution [/B] Basically, I used Newton's second law in the y direction. Here is my work: This does not seem like the correct answer, because the...

Homework Statement A bridge rises 321 m above the water. Supposed Jack kicks the rock horizontally off the bridge. The magnitude of the rock's horizontal displacement is 45.0 m. Find the speed at which the rock was kicked. Homework Equations Kinematics I think? v = vo + at Δx = vot + 0.5at2 v2...

This has been in the back of my head during a course in Mathematical Physics. In for example cylindrical or spherical coordinates, we have one or two unit vectors describing position (er, for example), their directions in a Cartesian system the function of three variables. But we also have e.g...

Homework Statement a mass of 100g strikes the wall with speed 5 m/s at an angle of 60 degrees to the wall and it rebounds with the same speed. if the contact time is 2 * 10^ -3 , what is the force applied by the wall and in what direction? The Attempt at a SolutionI tried solving the question...

Homework Statement...

A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, to what maximum angle will it move in the second half of its swing? Let h1 be the...

Homework Statement A 1000N crate is being pushes across a level floor at a constant speed by a force (F) of 300N at an angle of 20 degrees below the horizontal, what is the coefficient of kinetic force? Homework Equations Fk= uk*N uk= Fk/N[/B] Fk=F2 The Attempt at a Solution in the back of...

Homework Statement (I roughly translate the problem statement from German) Given the vectors a = (1,-2,3) and b = (1,1,1), divide the vector a in two components a1 (parallel to b) and a2 (perpendicular to b). Homework Equations In a previous question of the problem, I found that: a.b = 2 a x...

Homework Statement i have question with part B my working is 13.2 cos tetha (0.86x10^-3)+ 13.2 sin tetha (1.22x10^-3) = 1.95 i gt stucked here. how to proceed? i only have one equation , how to solve two unknown ? Homework EquationsThe Attempt at a Solution

Hi, I am having a seemingly hard time trying to find the tension in this rope. I've looked everywhere for a problem with these given variables but I found none. Here we are given: T1, T1 angle, mass of man and that is all. I included the picture here.The Attempt at a Solution I found, t1y, which...

The best known effect of birefringence is the lateral displacement of the extraordinary image. Why is this effect rarely quantified? I couldn't find a table of materials specifying the deviation angle δ of the extraordinary ray (say, for an angle of incidence equal to zero). Birefringence seems...

Hello, say you are on the unit sphere and you have 2 rays intersecting it from the origin. You know the spherical coordinates of where these 2 rays intersect the sphere ##(\theta_1,\phi_1),(\theta_2,\phi_2)##. Now, because we know the dot product of two vectors, it is simple to get that the...

Hi everyone, I need further explanations about the answer of this problem. The answer is angle T = 87.9 degrees. Thanks.

Homework Statement You are an invading army who wants to launch a rock over the enemy castle’s wall. The wall is 12 meters high and there is a moat surrounding the wall which forces you to launch from a distance of 17 meters away. What angle and velocity should you shoot at in order to just...

Homework Statement Find f'(x) if f(x) = 8^(sin^2(3x)) Hint: you will need to use the double angle formula for trig functions and your answer should only have one trig function in it. Homework Equations if y=a^u then y' = ln a * a^u * du sin(2x) = 2sinxcosx The Attempt at a Solution We're...

Homework Statement : [/B] Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed of 800 ft/s, to hit a groundlevel target 10,000 ft away. Homework Equations Look at attached picture The Attempt at a Solution Look at attached picture ***I get to...

Homework Statement A block of mass m rests on a horizontal table. The block is pulled by a massless rope with a force F at an angle θ. The coefficient of static friction is 0.60. The minimum value of the force needed to move the block depends on the angle θ a)Discuss qualitatively how you would...

Not sure if I'm doing this right. I have an angle theta to find but the cosine has been squared. I brought over inverse cosine to multiply to leave theta on its own. I was told the answer should be closer to 37 degrees? Am I doing something wrong here?

Homework Statement The moment of the couple is 600k (N-m). What is the angle A? F = 100N located at (5,0)m and pointed in the positive x and positive y direction -F = 100N located at (0,4)m and pointed in the negative x and negative y direction Homework Equations M = rxF M = DThe Attempt at a...

Hey, I am attempting to figure out the optimal nozzle placement for an evaporative cooling tower. Now, calculating the theoretical coverage of each nozzle is obviously not a problem since I know the spray angle of the nozzles. However, since the water is injected at a much higher speed than...

Homework Statement (a) A light signal is fired at ##60^o## North of West. Calculate the west-east velocity component of the signal according to an observer traveling due East at 0.5c. State your answer as a multiple of c. (b) Calculate the North-South velocity component of the light signal...

Homework Statement At a latitude of 50° north a mass is hanged by a massless string. By the means of an angle how much does the mass deviate from the Earth's radius due to rotation of the earth? Consider the Earth as a spherical body. Homework Equations Fcp=mv^2/r w=dθ/dt v=wr The Attempt at a...

Homework Statement I need to find the complex angle θ for: 2√(3)-2i in polar form. Homework EquationsThe Attempt at a Solution If I draw a complex plane, I can see that 2√3 on the real axis gives 0°, and -2i gives 3π/2 (270°), but it's incorrect. How can I find the complex angle of 2√(3)-2i...

a flagpole subtends a angle of 40 degrees. What angle does it subten 3/4 of the way up. Answer is supposedly 32 degrees ,but how ? oldfart

Homework Statement A fountain projects water horizontaly at a height of 12 m. The water goes on the floor after having traveled 15 m horizontally. Calculate the angle the water does with the floor. Homework Equations I know that the accelerate is constant, so its one of the cinematic equation...

Homework Statement I need an equation for a physics project, and I'm not sure which to use. I am given the distance and time variables, however I don't have the angle or altitude they are looking for. Which equation do I need to use? Homework Equations Velocity related equations? fab five...

Homework Statement I have the time and distance measurements. We shot it straight up, how can I find the altitude and angles? Times: (6.58 sec, 23 m), (6.90 sec, .6 m) (6.20 sec, 10 m). The time represents how long it takes for the rocket to shoot up and fall, the distance is the measurement...

Hi all, I've been trying to find an answer to this question for a while, (bear with me physics is not a strong point). I would like to know how one would go about calculating how fast you have to throw a ball out of a train to negate its forward momentum. My understanding is that if you throw...