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).

Options

A. `15m//s`
B. `10m//s`
C. `8m//s`
D. depends on the value of coefficient of friction

Answer

B

Explanation

The free body diagram of the box w.r.t the truck is as shown in figure.

for vertical equilibrium `mg=N`
for horizontal equilibrium `f=(mv^(2))/r`
For rotation equlibirium `fxx1=Nxxx`
for no tipping to take place `xlt(1/2)m`
So, `mgxx x=(mv^(2))/RimpliesX=(v^(2))/(rg)lt1/2impliesvltsqrt((rg)/2)=10m//s`