A diving spring board can be represented by a uniform rigid beam of length 4.2m and mass 40kg supported at one end by a

[answerhappygod]

A Diving Spring Board Can Be Represented By A Uniform Rigid Beam Of Length 4 2m And Mass 40kg Supported At One End By A 1 (90.21 KiB) Viewed 46 times

A diving spring board can be represented by a uniform rigid beam of length 4.2m and mass 40kg supported at one end by a hinged joint with a spring of stiffness 120kN/m attached to the beam at a distance x from the support as shown in Figure Q2. A diver with a mass of 112kg whilst standing on the end of the board experiences a vibration with a frequency of 4Hz when he initially stands on the end of the board. (a) Determine the position of the spring from the hinge for the diver to experience a vibration of 4Hz whilst standing on the end of the board. (7) (b) Show how the system can be represented by a linear spring mass system at the right hand end of the board and determine the equivalent mass and spring values. (5) (c) In order to limit the deflection of the end of the board to 50mm, what magnitude of damper would be required at the spring position if the diver was to exert his own weight at 4Hz. (5) (d) Determine the amplitude of vibrations if the frequency is doubled. (8) ) 4.2m Figure Q2 Representation of a diving spring board