Recent content by f(x)

I have used Thomas' Calculus , now what should I consider next (mainly for Differential Equations/Complex Analysis/Fourier Transforms etc.) I heard Kreyzig is good , any recommendations on that ? PS: Actually I found Thomas' to be very good, but when I read Courant's Calculus text, I felt as...

Hello Sir This is a problem from limits exercises in my textbook. Since Integral isn't possible, am I just supposed to find the sum using algebraic summation techniques and then limit as n-> infinity ? Could you please give a hint how to find the sum ? Thanks Hello Sir The standard form I...

yes the expression is correct, sorry I couldn't do proper LaTEX. But i am unfamiliar with Riemann Sums, if that's means definite integral, then yes. As I said, I only know the method for f(r/n) , not f(r). Thanks

I have been trying to solve Summation as Limit to Infinity type of questions but there are hardly a few examples I could find in my book I know the general method for \lim_{n \rightarrow \infty } \frac{1}{n}\Sigma_{r=A(x)}^{B(x)}f\frac{r}{n} where r/n is replaced by x and 1/n by dx, the limits...

Hello sir, Pardon me but could you please explain why f`(x) >= 0 and not f`(x) > 0 since the codomain of f(x) has an interval (0,∞) exclusive while f(x) = f`(x) Thanks

Thx a lot tinytim and Chi Meson for your help :) Ah ok thanks Oh I thought the answer meant \frac{(M^2+Mm+m^2)(v^2-2gh)}{M+m)^2} but i was unsure about the reasoning, still wanted to confirm Thx a lot for those corrections tinytim :)

could you show some equations you found

same question look https://www.physicsforums.com/showthread.php?t=274616

since f(x)=f`(x) and codomain is R+ f`(x) is always > 0 hence increasing.

Homework Statement Consider a small body of mass m placed over a larger body of mass M whose surface is horizontal near the smaller mass and gradually curves to become vertical at height h. The smaller mass is pushed on the longer one at speed v and the system is left to itself...

Try drawing a FreeBody Diagram with all the forces ACTING on the body, that'll help

Or you can simply find the acceleration of the system using Newton's laws, and then calculate the final velocity using equations of motion

So , in general for any rotational problem with an elongated continuous mass, Magnitude of Radius Vector is equal to Distance from axis of rotation to the Centre of MAss of the body, right ? Also, I get 15/7 as the answer

ok,T_1/T_2 = (m_1.r_1.w^2)(m_2.r_2.w^2) = (3M/4).(L/4)/(M/4).(3L/4) = 1 But that is incorrect, because the book says ( Hint: T_1 > T_2 ) I had a doubt, since the body was elongated, isn't it wrong to take radius as L/4 instead of the distance to COM from pivot ? Thx

Hello sir, OK, I spent some more time and I feel that T1 at L/4 from pivot causes the rest of the rod to rotate, hence , T1 must provide the necessary centripetal force. But I am confused as to what should be the value of Mass and Radius in this case. Can you please help with this ? Thanks