Answer
a. The precession angular speed will be cut in half.
b. The precession angular speed doubles.
c. The precession angular speed will be cut in half.
d. The precession angular speed doubles.
e. The precession angular speed stays the same.
Work Step by Step
a. See equation 10.33, which gives the precession angular speed: $\Omega = \frac{wr}{I\omega}$. If the angular speed $\omega$ of the spinning flywheel is doubled, the precession angular speed $\Omega$ will be cut in half.
b. See equation 10.33, which gives the precession angular speed: $\Omega = \frac{wr}{I\omega}$. If the total weight $w$ is doubled, the precession angular speed $\Omega$ doubles.
c. See equation 10.33, which gives the precession angular speed: $\Omega = \frac{wr}{I\omega}$. If the moment of inertia $I$ of the spinning flywheel is doubled, the precession angular speed $\Omega$ will be cut in half.
d. See equation 10.33, which gives the precession angular speed: $\Omega = \frac{wr}{I\omega}$. If the distance from the axis $r$ is doubled, the precession angular speed $\Omega$ doubles.
e. See equation 10.33, which gives the precession angular speed: $\Omega = \frac{wr}{I\omega}$. If all 4 factors are doubled, the precession angular speed $\Omega$ stays the same.
