1.A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a_t. If the maximum total acceleration of the train must not exceed 1.5 m/s^2, determine

(a) the shortest distance in which the train can reach a speed of 72 km/h,

(b) the corresponding constant rate of acceleration a_t.

2.A right-angle Cone, with base diameter 2.0m and height 2.45m, isinverted and fixed at the ceiling as shown in Figure 1. The floor height is 2.5m. After thecone deformed (due to the gravity and its own weight), will the cone touch the ground? Pleaseprovide your analysis in details. It is given that E = 7 × 106pa and the density ofthe cone ρ = 2000kg/m3.