Page 3 of 7 QUESTION 2 [21] A cantilever shaft of 1.6m of total length and 75mm of diameter is rigidly clamped at its left end and carries three wheels each of 50kg of mass. The first wheel is located at 0.4m from the left end, the second wheel is situated at the centre of the shaft while the third wheel is located at right end. The density of the shaft material is 7800kg/m^(3) and its modulus of elasticity is 200GN/m^(2). Taking into consideration the weight of the shaft as a uniformly distributed load through its total length, calculate the natural frequency of free transverse vibrations of the shaft. The sheet for deflection formulae is provided as an appendix.