Recent content by randommanonea

A spring of mass M is suspended from the ceiling of a room. Find the extension in the spring due to its own weight if it has a spring constant of value k . I am getting answer as \frac{Mg}{2k} , but the answer given in back of the book is \frac{Mg}{3k}. What I did was : Let the natural...

Hello, Can anybody help me by recommending a rigorous calculus textbook. I have done some parts of Thomas's Calculus and the questions in it are mainly computational (plug and chug type). I want a book which is both rigorous and has good quality questions. I have selected two books- 1.)...

OK Thanks, I got it. Answer is v= {2R[a sin(theta) +g -g cos(theta)]}^{1/2} PS: Testing Latex v= \sqrt{2R[a \sin \theta +g -g \cos \theta]}

A smooth sphere of radius 'R' is made to translate in a straight line with a constant acceleration 'a'. A particle kept on the top of the sphere is released from there at zero velocity with respect to sphere. Find the speed of the particle with respect to the sphere as a function of the angle...

I got my answer as : Rg{1-cos(l/R)}/l Is it correct ?

A chain of length 'l' and mass 'm' lies on the surface of a smooth sphere of radius 'R' > 'l', with one end tied to the top of the sphere. (a) Find the gravitational potential energy of the chain with reference level at the center of the sphere. (b) Find the tangential acceleration dv/dt...