Theta Definition and 333 Threads

Homework Statement A block is sent sliding down a ramp. Its speeds at points A and B are 1.85 m/s and 2.60 m/s, respectively. Next, it is again sent sliding down the ramp, but this time its speed at point A is 3.95 m/s. What then is its speed at point B? (point a is logically higher on the...

Homework Statement Find the values of (theta),in the interval 0degree\leq(theta)\leq180,for which cos2theta=1/4.Give your answers correct to the nearest integers. Homework Equations :s The Attempt at a Solution do i just tap them in the calculator or how?

Homework Statement Coherent light is passed through two narrow slits whose separation is d. The second-order bright fringe in the interference pattern is located at an angle of theta. If electrons are used instead of light, what must the kinetic energy of the electrons be if they are to...

Homework Statement I have determined the solution to my problem however now the problem asks me to plot theta as the block flies off the sphere when Mu k ranges from 0.0 to 0.5 in increments of 0.05 I don't know a great deal about working with Microsoft Excel. Well I do just not enough to...

I play an online shooter game with artillery that players can use. As best I can tell, the shell exits the artillery at 400m/s, I don't know if that's correct because units aren't listed in the code but it sounds logical. I know the distance to target as well, I only need to know what angle to...

finding theta angle...should be easy one. Homework Statement if your given theta (as pointed out by the arrow with #1), how do you know the #2 arrow angle is the same?Homework Equations

Homework Statement A car rounds a slippery curve. The radius of curvature of the road is R, the banking angle is theta and coefficient of friction is mu. What should be the cars speed in order that there is no frictional force between the car and the road? Homework Equations F=mv^2/r...

| a + bi | = \sqrt{(a)^2+(b)^2} \theta = tan^{-1}(\frac{b}{a}) |(a + bi)^n| = (\sqrt{(a)^2+(b)^2})^n \theta = n(tan^{-1}(\frac{b}{a})) (a+bi) = (\sqrt{(a)^2+(b)^2})^n(cos(n(tan^{-1}(\frac{b}{a})) + isin(n(tan^{-1}(\frac{b}{a})))) Why is \theta = n(tan^{-1}(\frac{b}{a}) ? For...

a particle is kept on the top of a smooth sphere of radius r.the sphere is provided an acceleration a which is a constant.find the speed of the particle as a function of theta the angle it slides from the sphere

Homework Statement \int^{0}_{1}\frac{x^{2}}{\sqrt{1-x^{2}}} Homework Equations The Attempt at a Solution Let x=sintheta dx=cos theta \int^{0}_{1}\sin^{2} Now I get stuck

Homework Statement Find the area enclosed inside r=3 sin (theta) Homework Equations integral?The Attempt at a Solution basically, I took \int3sin\Theta from 0 to 2pi, then pulled the 3 out to get 3\int sin\Theta from 0 to 2pi and then 3[-cos(\Theta)] evaluated from 0 to 2pi. that seems...

Homework Statement Estimate the force a person must exert on a string attached to a 0.200 kg ball to make the ball revolve in a horizontal circle of radius 0.600 m. The ball makes 1.40 revolutions per second. Do not ignore the weight of the ball. In particular, find the magnitude of FT, and the...

Okay I need to find theta...Sin theta is equal to 3/8. I just need someone to put this in a calculator for me as I do not have a powerful enough calculator, decimals are fine too, you should be able to find 2 answers from 0 to 2pi. This is a small part in a greater more complicated problem...

Homework Statement A balloon rises at the rate of 8 ft/s from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground. Homework Equations n/a The Attempt at a Solution i tried several times and erased...

hi. with It = Io sin^2 x (4 x theta) x sin^2 (pi x dn x p / lambda) what would the equation be for making theta the subject? thanks for your input

As a part of a lab, we were asked to find the theoretical relationship between R (the range of the projectile) and theta (the launch-angle). There is no recorded value for time. equations given are: R(θ)=x=d/dt v0x = v0xt-->R(θ)=v0xt v0x=v0cosθ z=...

Homework Statement A movie screen at the front of a room is 9 feet above the ground and 16 feet tall. Determine the distance X you must sit away from the screen in order to maximize your viewing angle. [ I tried to make the picture :P. I need to find X]...

Here's my problem guys, I've been trying to puzzle this out for a while. Would really appreciate any help at all, thanks! Homework Statement A 50.0 g ball of clay traveling east at 5.50 m/s collides and sticks together with a 40.0 g ball of clay traveling north at 6.00 m/s. What is the...

Homework Statement Estimate the angle theta of the pendulum bob if it is 4.80km from the center of Mt. Everest. The Attempt at a Solution Tan(theta) = (GMeverest/r^2)/g I have been trying to use this formula, but i don't think its the right one?

Homework Statement A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.3 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? Evaluate your answer...

1. Two curves on a highway have the same radii. However, one is unbanked and the other is banked at an angle theta. A car can safely travel along the unbanked curve at a maximum speed Vo under conditions when the coefficient of static friction between the ties and the road is ms=0.81. The banked...

Homework Statement A stone is thrown down a slope. I am given the Range of the slope and the max height from spot thrown. R= 50m h= 12m Homework Equations I need to determine the magnitude of Vo and inital theta. The Attempt at a Solution First I need to find V_o: I feel that the only...

I don't know how many of you have heard of Mu Alpha Theta, but for those who haven't, it's a high school and two-year college math competition. -- Shameless plug: Middleton, my high school, won 7th in the nation in July! Go tigers! -- I'm taking Algebra 2 this year, but one of our coaches...

Hello. This is not a Physics homework problem, but rather a Programming project. I am asked to model a pendulum using the Java Swing class for graphics, but I'm having a few problems understanding the Physics behind it, and would appreciate a few answers and some guidance. Doing the...

[SOLVED] Trig Question Homework Statement Let's say I have tan(2\theta) = cot(\phi) I'm not quite sure how to simplify it (I want to solve for theta) I could say tan(2\theta) = 1 / tan(\phi) 2\theta = atan( 1 / tan(\phi) ) but then I'm not sure what to do after that. Do I take the atan of 1...

Hey all I am trying to do a calculus project that deals with the flight of an arrow. At first glance I thought I would be using the eq s(t)=-16t^2+VT+S...V being the initial velocity, S initial height, and T for time. I quickly figured out that I needed to have a theta in there some where to...

Homework Statement Find the smallest positive value for `theta` for which the tangent line to the curve `r = 6 e^(0.4 theta)` is horizontal The Attempt at a Solution I tried to use the (r'sin(theta)+rcos(theta))/(r'cos(theta) - rsin(theta)) formula to get the tangent line, which I got...

http://users.on.net/~rohanlal/Q5.jpg The maximum force of the block, T, must be determined. The 2nd rope that the pulley is attached to has the same maximum tension force as the rope of the pulley which is 10kN. Theta also needs to be determined.

what is the result of Fourier transformation of functional theta [Heaviside] function?

[SOLVED] max height expressed with v, theta, and g Homework Statement what is the max height of a projectile with velocity v at an angle theta using the conservation of energy? express in terms of v, theta, and g Homework Equations 1/2*m*v^2=mgh The Attempt at a Solution i...

[SOLVED] Vector Problem Given Suppose a and b are vectors in Vn and theta is the angle between them. If a=<1,1,...,1> and b=<1,2,...,n>, find the limiting value of theta as n-->infinity Relevent equations: a*b = |a|*|b| * cos(theta) or theta = arccos ((a*b)/(|a|*|b|) I know...

tan theta = 0.107 Therefore theta = 6.14 degrees How do I come to this conclusion using a calculator? Thanks

Should I make acceleration the y-axis and sin of theta the x-axis or the other way around? If this adds to anything, as the sin of theta decreases, the acceleration is also decreasing...

We have Uk and/or Us and angle of inclination (theta) Are these eq-ns relevant? sin(theta critical)=Us(tan(theta critical))=Us and sin(theta static)/cos(theta static)=Uk(tan(theta static)=Uk How do I even interpret these eq-ns? Exam is tomorrow and I need to know how to find the...

I have a conceptual problem i can't seem to understand how to derive an equation for theta. Here is what i have so far Diamgram: L=50m (delta) Y= .20m A bird sits on a wire whos length is = to 50m the bird acts on the wire and (delta) Y= -.20m. Assuming the...

Homework Statement Prove/Show Sin(squared) theta + Cos(squared) theta = 1 I'm new to vectors and am having difficulty solving this, any help would be greatly appreciated. Thanks.

Homework Statement I need to get y = mx in polar form. I looked at it logically, and I figured I needed a function f(x) that will resolve 0 when x =/= 0, and will resolve 1 when x = 0. I thought for a while, and then realized that sine sort of does that, and just needs a tweak to do it exactly...

Homework Statement Suppose at t=0, theta=0 degrees a pendulum swings to the left with angular velocity wo=47.5 rad/s. Find the magnitude of the maximum angle theta for the oscillation. Given w=60.7 rad/s, and wo=47.5 rad/s, where w is angular frequency of the small oscillation. Answer in...

Okay - This isn't really a homework problem, but i had a question about the work equation, W=Fdcos(theta) Say, for example, you have a block sitting on a surface and there is friction, but we are not talking it into account. There is a force of 10N applied parallel to the displacement...

Homework Statement Light enters a solid 90 degree angled tube made of plastic having an index of refraction of 1.60. The light travels parallel to the upper part of the tube. which is horizontal You want to cut the corner of the tube so that all the light will reflect back into the tube...

Homework Statement how would one calculate 4 \int_0^{\frac{\pi}{2}} \frac{\cos^2 \theta}{(1 + \cos^2 \theta)^2} d \theta ? The Attempt at a Solution someone suggested a u = \tan \theta substitution, but i don't understand why and how this would help me. couldn't i just use u = \cos t?

Homework Statement k = 40 N/m mass of slider = 200 g EDIT r = 0.3 m Hoop is VERTICAL, undeformed length of the spring is when spring is in position AB, slider NOT attached to spring. Find smallest value for theta such that the slider will pass through D and reach A (see picture). Homework...

https://www.physicsforums.com/showthread.php?p=846415 Can anyone explain this a little bit more? I found these 2 formulas. \tau=-k \theta How do I relate \theta with m, R, r & k? (In my problem I am not working with numbers, i need to find an expression for angular frequency in terms...

I am taking the liberty of collecting mathwonk's "short course" for some followup comments/questions, since this topic is IMHO more interesting than the context in which it first appeared. (Hope this is OK under PF rules!). Part I: Part II: Part III: How annoying, Part IV won't...

Homework Statement An engineer wishes to design a curved exit ramp for a toll road in such a way that a car will not have to rely on friction to round the curve without skidding. She does so by banking the road in such a way that the force causing the centripetal acceleration will be supplied...

How would one derive the hamiltonian for a particle moving in a potential in the x direction whilst also rotating with an angle of theta?? I have tried deriving it the same way as the TISE using the angular momentum operator in 2d space but to no avail basically the particle is moving...

Homework Statement A figure is attached. The symmetric system consists of 4 massless rodes with length 'L',the purple thing is a spring(the spring constant is k),when the system is at rest theta=45 deg. the system starts to rotate with angular speed 'w',the rodes are pushing on the...

Hello everyone, have a problem. I'm not allowed to use the books instructions on how to do the problem but instead I must do the following: Prove each statement, assuming n is a variable that takes positive integer values. Ignore the book's instructions for 41. Instead, use the definition of...

I'm in physics I and only in Trig for the first time this year (Jr in HS). I do not remember sin (2 theta) in any previous lessons. I need in help in the following problem using it. In a double-slit experiment with monochromatic light and a screen at a distance of 1.50 , the angle...

I don't really understand a step in my textbook, and I think it is better that I understand why they are doing it this way instead of just brushing it off and it coming back to haunt me later! The question is : Solve for \Theta, 0\leq\Theta\leq2\pi 2\tan\Theta-2=0 I get the right...