Recent content by mrcheeses

Homework Statement A car enters the circular road with radius r = 200m at a speed of v = 80km/h. A radar gun at O needs to rotate with constant angular acceleration d^2θ/dt^2 = 0.025 rad/s2 to follow the motion of the car along the circular road. a) Determine the acceleration of the car...

Got it, thanks!

I got ∂f/∂x'*x + ∂f/∂y' *y on the left side. What do we do after that?

But lamda is an element of all real numbers right? So how can you prove this if we only choose lambda as 1?

What about the right side? Is p * lamdba^(p-1) f(x,y) correct?

why do you put x prime=λx and y prime=λy?

how would you differentiate with respect to lambda? Also made a mistake. Its: f(λx, λy) = (λ^p)f(x,y)

Homework Statement Take a constant p ≥ 1 and f(x, y) a function of two variables with continuous first order partial derivatives. If, f(λx, λy) = (γ^p)f(x,y) for λ ε ℝ, prove that x(∂f/∂x) + y(∂f/∂y) = pf Homework Equations x(∂f/∂x) + y(∂f/∂y) = pf f(λx, λy) = (λ^p)f(x,y)The Attempt at a...

Homework Statement Take P;Q and R three points of R 3 not on the same line. If a = OP , b = OQ and c = OR are the position vectors corresponding to the three points, show that a x b + b x c + c x a is perpendicular to the plane containing P;Q and R The Attempt at a Solution I don't...

Homework Statement A 100kg mass is supended by 3 ropes. one rope is attached at a point 1mxˆ + 1myˆ, one is attached at 1mxˆ - 1myˆ and one is attached at -4mxˆ. The three ropes all connect at -1mzˆ, at which point the mass is attached. What is the tension T in the rope attached at -4mxˆ...

Homework Statement sin(kx)=0 What describes the value of x. Homework Equations N/A The Attempt at a Solution I remember doing this last year but I forgot how to. kx=n(pi) x= n(pi)/k x=n(pi)/k + (pi)k/n where n is any integar Is this right?

Okay great thanks for all the help! And I am sorry I copied and pasted the wrong formula. I meant to copy and paste a=(mgR-(B^2)L (ΔA/Δt))/mR.

Wait, for (mgRΔt-(B^2)ΔAL)/ΔtmR=a , would that work? If the change in time is 0, then the acceleration is undefined. Would this work? Can you apply the kinematics equation into this since it is for constant acceleration? The question says that the object falls from rest and with this...

Thanks for all the help! I got mgR/B^2L^2=v when I did all the math. So would that be the answer for the second question?

Sorry the h was a typo, it was supposed to be R. I guess you can just remove the N since there aren't coils wrapped around and we can consider it as one coil. Which gives (mgRΔt-ΔΦBL)/ΔtmR=a Magnetic Flux is related to magnetic field by Flux=FieldxArea, and since the area of a rail gun would...