Question

A, The Toy consists of wooden cylinder mounted on top of hemisphere. The mass of the system is 0.2kg. The radius of sphere is R=0.3cm. The center of mass the system lies a distance L=R/5 below the hemisphere's center.

a) find expression for the potential energy of toy when it is tipped an angle theta from the vertical.

b) For the case of small oscillations, show that potential energy takes the form of Hooke's Law. Define new variable s=R*theta and determine proper spring constant K.

c)Suppose the toy is released from rest to oscillate in a fluid where b=0.4Ns/m. initial displacement is s0=0.005. Determine which type of damped oscillator this would be, and write the form of the general solution.

Answer 1