When the tyre of a car is balanced, certain weights are attached at certain places on the rim so that there are no vibrations when the tire is spinning at high speed.
Over millions of years, the mountains and other geography is set in such a way that earth rotates in a balanced way. If you suddenly place large mountains randomly, this could unbalance the rotation of earth.
In your world, you cannot place mountains in an artificial way. Let them be formed through natural processes.
EDIT
- Mountain roots act like pegs embedded in the ground and they work as stabilizers for the earth.
- Mountains take part in isostasy, a concept of the gravitational equilibrium that explains the balance of topographical undulations on the Earth’s surface.
- Mountains help our climate stay relatively stable in between catastrophes.
As told here:
The book "Earth" by Professor Emeritus Frank Press , is a basic reference book in many universities . The book says that mountains have underlying roots. These roots are deeply embedded in the ground, thus, mountains have a shape like a "peg".
Dr. Press explains that Mountains play an important role in stabilizing the crust of the earth. They interfere with the shaking of the earth. The modern theory of plate tectonics also states that mountains work as stabilizers for the earth.
As told here:
Isostasy, ideal theoretical balance of all large portions of Earth’s lithosphere as though they were floating on the denser underlying layer, the asthenosphere, a section of the upper mantle composed of weak, plastic rock that is about 110 km (70 miles) below the surface.
This means that an excess of mass seen as material above sea level, as in a mountain system, is due to a deficit of mass, or low-density roots, below sea level.
As told here:
Isostasy (Greek, isos: equal, stasis: standstill) in earth science is used as a concept of the gravitational equilibrium that explains the balance of topographical undulations on the Earth’s surface. The need to achieve natural balance or isostasy takes place on Earth wherever a large amount of weight is present. This weight might be due to a large mountain, ice from an ice age or even from human structures such as the weight from large man made lakes
The mountains can reduce the power of quakes but also send them to certain places, making them more powerful than expected.
As told here:
Mountain thermostats: scientists discover surprising climate stabilizer that may be key to the longevity of life on Earth.