Question

As shown in the figure, an particular ship's wheel is to be displayed on a wall. The wheel itself has a mass of 16 kg, an outer radius of 50 cm (to the tips of the handles), and a rotational inertia, about its central axis (the axis is perpendicular to the page), of 1.50 kg⋅m². The wheel is to be mounted to the wall on a single peg at the mount point indicated, which is 27 cm from the central axis. What is the rotational inertia of the wheel about an axis perpendicular to the page and passing through the mount point? HINT: use the parallel-axis theorem.

ount point

- 2.67 kg⋅m2

- 3.17 kg⋅m2

- 0.81 kg⋅m2

- 4.67 kg⋅m2

- 2.31 kg⋅m2

- 1.17 kg⋅m2

Answer 1

from parallel axis theroem I_p = I_cm + md² = 1.5 + 16*(0.27)²  

= 2.67 kg.m²