Recent content by vadiraja

Hello. I am very well versed in my mathematics(Mary Boas, Mathematical Methods of the Physical Sciences, all problems done, Courant Hilbert, Methods of Mathematical Physics,Real and Complex analysis Walter Rudin) I want an optics text that will assume all knowledge of mathematics but that...

it is obviously true that the gravity and the acceleration are not acting in the same direction. However, my solution does not imply that they are acting in the same direction. I have put a figure for clarification. The forces acting in the radial direction are mgsinθ and n which are both...

Homework Statement The original problem is Figure P6.61 shows a Ferris wheel( I have attached the image) that rotates four times each minute. It carries each car around a circle of diameter 18.0 m. (a) What is the centripetal acceleration of a rider? What force does the seat exert on a...

but if acceleration in the y' plane was not zero, then wouldn't the car have to go through the ramp. my y' axis is perpendicular to the road. acceleration in the y' direction would mean jumping off the road or going into it.

What I meant was that in the plane x', y' that is inclined at an angle θ so that the axes are parallel to the inclined bank, the y' acceleration is zero. Please correct me if I am wrong

The problem is not with the problem; I knew from the beginning that the solution was as follows \begin{array}{l} {F_r} = {\rm{ - }}n{\rm{sin}}\theta = - \frac{{m{v^2}}}{r}\\ {\rm{and I know that}}\\ n\cos \theta = mg\\ \tan \theta = \frac{{{v^2}}}{{rg}}\\ \theta = \arctan \left(...

but even if you take the correct first solution where I resolve N into its components,if I find Nsin(theta) in the following way, \begin{array}{l} N\cos \theta = mg\\ {N^2} - {N^2}{\cos ^2}\theta = {N^2}{\sin ^2}\theta = {N^2} - {\left( {mg} \right)^2}\\ N\sin (\theta ) = \sqrt {{N^2} -...

Homework Statement The original problem was as follows: A civil engineer wishes to redesign a curved roadway in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when...

Hello. I am a Junior in Highschool who is very interested in mathematics. Most ap macro/microeconomics teach the subject like social studies or english. But I am aware there are more mathematical treatements. I have done Thomas calculus and analytic geometry(4th edition. not the watered...

Find all integer solutions to ... Homework Statement Find all integer solutions to \begin{array}{l} {a^2} = a + b - 2c + 2d + e - 8\\ {b^2} = - a - 2b - c + 2d + 2e - 6\\ {c^2} = 3a + 2b + c + 2d + 2e - 31\\ {d^2} = 2a + b + c + 2d + 2e - 2\\ {e^2} = a + 2b + 3c + 2d + e - 8 \end{array} ...

Here is my situation, In short I want a number theory book that doesn't assume knowledge of previous number theory but assumes all knowledge of mathematics. I have been knowing multivariable calculus since about 4 years(learned it from Thomas 4th edition(this book was not like the later...

Homework Statement The base b and the area k of a triangle are fixed. Determine the base angles if the angle at the vertex opposite b is to be a maximum. Homework Equations The Attempt at a Solution The answer the book gives is arctan(4k/b2) I looked at the solution to the...