Question

5. The figure shows a simple idealization of a human head on a neck. The head is a sphere with radius R and mass m; the neck is a pivot with a torsional spring with (torsional) stiffness K 5.1 Write down the total kinetic and potential energy of the system, in terms Of ? and d? / dt 5.2 Use the energy method to derive an equation of motion for ? 5.3 Find a formula for the natural frequency of vibration 5.4 Measurements report a natural frequency of 1.5 Hertz. Take the mass of a representative head to be 5kg and radius 1lcm (detailed data is published here). Estimate the torsional stiffness of the neck.

Answer 1

e neo 2 2 ラ 1)

2 5 Moment of loen+ 2 0.0