I don't understand. Even if I assume a spherical coordinates system why would there be a component of acceleration in the ##\hat{\theta}## direction?
Isn't ##\theta## supposed to remain constant during the motion?
Homework Statement
Finding the time period of a conical pendulum by D'Alembert's principle. The string is of a constant length and all dissipations are to be ignored.
Homework Equations
The time period of a conical pendulum is 2\pi \sqrt{\frac{r}{g\tan\theta}}. I need to arrive at this result...
Homework Statement
A function f(x,t) depends on position x and time t independent variables. And if \dot{f} represents \frac{df(x,t)}{dt} and \dot{x} represents \frac{dx}{dt}, then find the value of \frac{\partial\dot{f}}{\partial\dot{x}}.
Homework Equations
The Attempt at...
Well I did some readings on transformers, particularly single-phase transformer, and found that there exists central tapping that let's us access two different voltages. The central tapping, as understood by me, is what we call neutral (the current return path-as we call it here).
Then I...
All I have read in the electricity class is that AC is any type of current which actually reverses its directions periodically. I have also read all sorts of mathematical expressions concerning sine-wave form of AC. I have also understood how AC generator works. These topics had never bothered...
Homework Statement
How should I find the time period of a pendulum which is made up of a rod of length l fitted with a bob of radius r at its one end and the other end being pivoted to the wall?
2. The attempt at a solution
Actually having problem with calculating...
Homework Statement
Given that x^{2}f(x)+f(\frac{1}{x})=0, then evaluate \int^{1.5}_{0.6}f(x)dx
Homework Equations
The Attempt at a Solution
tried to replace f(x) using the provided equation...didn't help
Is there any formula which gives the combinations for n things (taken r at a time, r being less than n) which are NOT ALL different?
Say you have a total of n things and in those n things you have p things identical. Then you are required to select r things (r may be less or greater than p)...
If the masses have been kept apart at an environment such that no other physical interaction except the mutual gravitational interaction between the masses exists...then...it follows that the masses are having a finite potential energy...And this potential energy is the source of kinetic...
Suppose a particle moves along Cartesian coordinates from x=0 to x=a, such that it can move in definite regions having definite energy which corresponds to formation of standing waves with nodes at its ends, that is, x=0 and x=a. Let the particle be of mass m and moving with velocity v...