Saved Bookmarks
| 1. |
A lorry carries a tank of water. If the lorry moves with a uniform acceleration 'a' in the horizontal direction, determine the angle made by the surface of water in the tank with the horizontal. |
Answer» Solution : Let the LORRY move towards the left. The lorry moving with uniform acceleration a is a non - inertial FRAME of reference. An observer in this frame of reference. An observer in this frame considers a pseudo force on the water in tank. If the lorry moves towards the left as shown in fig. the pseudo force on the water of mass m is ma to the right is REPRESENTED by `vec(OA)`. The gravitational force mg is represented by `vec(B)`. The resultant force is represented by `vec(OC)`. For equilibrium, the water surface in the tank must be perpendicular to the resultant `vec(OC)`. So, the liquid surface tilts, being raised at the rear. If `theta` is the angle made by the liquid surface with the horizontal, `theta = angle BOC`. `tan theta = (BC)/(OB)=(a)/(g) i.e., theta = tan^(-1)(a//g)` 
|
|