A uniform box of height `2 m` and having a square base of side `1 m`, weight `150 kg`, is kept on one end on the floor of a truck. The maximum speed with which the truck can round a curve of radius `20 m` without causing the block to tip over is (assume that friction is sufficient is no sliding).

Answer

14 m/s

Explanation

mg - weight of train, F-fnction, TV-normal reaction of ground at A, when just at the point of turning, the reaction at B is zero. When truck is just in equilibrium, `mg//CD = mv^(2)//rAD`
`v = sqrt(gr xx AD//CD) = sqrt(9.8 xx 32 xx 0.75//1.2) = 14 m//s`