Question

Consider a system of two spheres of mass 5 kg and 25 kg the distance between the their centres is 1.2 metre what is the distance of the centre of mass from centre of sphere of mass 5 kg

Answer 1

$546 \frac{9x - { - { ?}$

Answer 2

Answer:

Concept :

The balancing point (also known as the centre of mass) of a widespread distribution in space is the unique site in physics where the proportional relative location of the distributed mass accumulates to zero. This point can be accelerated linearly without creating rotational acceleration by applying a force. Mechanics calculations are usually simplified when phrased in terms of the centre of mass. In order to visualise an object's motion, it is a hypothetical point where the entire mass of the object is concentrated. To put it another way, when Newton's equations of motion are applied, the centre of mass is the particles equivalent of a given object.

Given :

Consider a system of two 5 kg and 25 kg spheres with a 1.2 metre distance between their centres. What is the distance between both the centre of mass of the 5 kg sphere and the centre of mass of the 25 kg sphere?

Find :

what is the distance of the centre of mass from centre of sphere of mass 5 kg

Answer :

The answer is 1m

Given that

C1 , C2 are the centres of the spheres

A and B are the masses

A = 5

B = 25

If the centre of mass of the system lies at C at distance x from C1

let us consider from C;

$5g(x)=25g(1.2-x)\\x=5(1.2-x)\\x=6-5x\\6x=6\\x=1m$

At the centre of mass of a sphere, or the point where a force is applied and the spherical moves in the direction of force without spinning, the weighted relative location of the dispersed mass aggregates to zero.

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