Question

Distance of the center of mass of a solid uniform cone from its vertex is ${{z}_{0}}$. If the radius of its base is R and its height is h, then ${{z}_{0}}$ is equal to,
A.$\dfrac{3h}{4}$
B.$\dfrac{{{h}^{2}}}{4R}$
C.$\dfrac{5h}{8}$
D.$\dfrac{3{{h}^{2}}}{8R}$

Answer 1

The impedance is related to the volume of a conductor and the square of the length of the conductor, a distance which is a function of the height.

Complete answer:
Impedance is denoted Z, which is an expression of the opposition to any electronic component, circuit or system offered to alternating or the direct electric current. Impedance is a vector (two-dimensional) quantity consisting of two independent scalar (one-dimensional) quantities: resistance and reactance.
Position of focus of mass of a strong cone from the base is $h/4.$
Along these lines position of focus of mass of a strong cone from the vertex $=h-\dfrac{h}{4}=\dfrac{3h}{4}$
Along these lines, here ${{z}_{o}}=\dfrac{3h}{4}$
Impedance adjusts the current or sign coursing through a conductor. Yet, in the event where there is no moving vitality at a given point in time, that doesn't change the way that the medium has a particular trademark impedance. A reel of cajole in the distribution center has a similar impedance as when it is wired into a functioning, working system.

The correct answer is A.

Note:
Newton's second law of movement is relevant to point objects. Presently in the non-perfect world we these days don't experience many point objects. To apply Newton's law to any of the broadened bodies, we use the idea of the relative center of mass.
Assume an arrangement of n - particles. Presently assume powers f1, f2… . fn follows up on these particles individually. Presently if we do the vector expansion of every one of these powers and call it F and we call them all out the mass of the framework M. At that point focus of mass is that point which follows the speeding up as given by Newton's law
(where an is increasing speed of the focal point of mass).