Main answer: 26.78-kg
Supporting answer: Center of mass
Center of mass of a body is defined as the point at which the whole mass of the body is acting upon. Every body, has its own center of mass. For example, a square has its center of mass at the point where the diagonals of it intersect as well as a circle has its center of mass at the point where it got originated.
All 3-dimensional bodies has 3 axes of rotation. They are x, y and z axes respectively. These axes are used to point the center of mass accurately where it is located.
The co-ordinate in z-axes where the center of mass of a body is found is called as z-coordinate of the mass center(∑).
Now,
We are given with 3 units and its mass. They are:
- Circular disk of 2.5-kg
- Round shaft of 2.5-kg
- Square plate of 3.4-kg
We need to find the z-coordinate of the mass center of these units when present in a 3-dimensional plane.
As the round shaft is placed perpendicular to z plane as it is to hold the square plate we have z value to be 90 for round shaft.
Thus, it can be simplified as:
∑=
Therefore, the value of z-coordinate of mass center is 26.78kg.
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