Engineering Mechanics

  (Q.2)   The acceleration of the particle is defined by the relation a = 25 - 3x 2 mm/s 2 . The particle starts with no initial velocity at the position x = 0. (a) Determine the velocity when x = 2 mm (b) the position when velocity is again zero, (c) position where the velocity is maximum and the corresponding maximum velocity. (Q.3)   Acceleration of a particle moving along a straight line is represented by the relation a = 30 - 4.5x 2 m/s 2 . The particle starts with zero initial velocity at x = 0. Determine (a) The velocity when x = 3 m, (b) the position when the velocity is again zero (c) the position when the velocity is maximum. Solution:  (Q.6)   A stone is dropped from the top of a tower. When it has fallen a distance of 10m, another stone is dropped from a point 38 m below the top of the tower. If both the stones reach the ground at the same time calculate (i) the height of the tower (ii) the velocity of the stones when ...