. Igor’s having some (physics) fun with the Frankenstein monster before he’s bee

Question

. Igor’s having some (physics) fun with the Frankenstein monster before he’s been brought (back) to life. The monster’s legs are dangling over the edge of the table he’s laying on and Igor sees that, if displaced, they swing back and forth, pendulum-like, oscillating about the knees. By the hourglass on the shelf, Igor measures the leg-swing period to be 1.50 s. If the mass of Frankie’s lower leg is 9.00 kg and its center of mass is 24.0 cm below the knee, what’s the lower leg’s moment of inertia (about the knee)

Explanation / Answer

Its a compound pendulum problem

T = 2 pi * sqrt ( I/(Mgd)

1.5 = 2 * pi * sqrt ( I / (9*9.8*0.24))

Moment of Inertia I = 1.206 kg m^2

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