to avoid skidding , v<\sqrt{\mu rg}
to avoid toppling v<\sqrt{\frac{rag}{h}}
A vehicle of mass 'm' takes a turn of radius 'r' on a surface with friction coefficient 'μ'. The mass of vehicle is uniformly distributed so that it is at a height 'H' from the surface and at an equal distance 'a' from both the front as well as back tyres.....
Find the critical velocities that the vehicle can acquire for a safe turn.......
IT IS EASY.....
to avoid skidding , v<\sqrt{\mu rg}
to avoid toppling v<\sqrt{\frac{rag}{h}}