Question

a body of mass 'm' is released from the surface of earth into the tunnel the Tunnel is created inside the earth point Is located at the centre of tunnel then show that body will create SHM ​

Answer 1

Answer:

Let's consider a mass m inside a tunnel within the Earth.

Let the distance of the mass from the Centre of the Earth be x and radius of Earth be r.

So field intensity at that point be represented be E:

$\boxed{ \red{ E = - G \times \dfrac{M}{ {r}^{3} } (x)}}$

Negative sign indicates that the direction of field intensity is opposite to the Direction of displacement .

So force experienced at that point be denoted as F :

$F =( E \times m)$

$\boxed{ \red{ F = - G \times \dfrac{Mm}{ {r}^{3} } (x)}}$

This equation is analogous to an standard Equation of SHM .

$\boxed{ \red{F = - Kx}}$

So we can say that the Object follows SHM within the tunnel of the Earth.

Answer 2

Answers to the questions and I will be there at every stage of the equator of the equator of the equator of the equator ty for the survival mode and I will be there at every stage of the equator of the equator of the equator:

Explanation: