Example 3: Newton’s 2nd law




The box B sits on the bed of a truck which is going around a turn of  radius . At this instant the truck has a speed . If the coefficient of friction between B and the bed is , calculate the maximum rate at which the truck’s speed can increase without making the box slip.






Slip condition,

Substitute (2) into (4), we get

Substitute (5) into (1) and (3), we get

Substitute (8) into (7), we get