Problem 11: (6% of Assignment Value)
A solid cylinder with a mass of
2.87 kg, a radius of
19.2 cm, and a length of
28.3 cm is free to rotate about the
z axis, which passes through its center and is perpendicular to its axis of cylindrical symmetry. Initially at rest, a constant torque,
$\vec{\tau} = (43.5 \text{ mNm}) \hat{k}$, is applied through
3.23 revolutions.
1/11
thin hoop, rotation about
axis of cylindrical symmetry
$I = MR^2$
In lieu of the typical table as found in most textbooks, the MOIs of uniform standard objects may be obtained by using the left and
right arrows to step through the image carousel to the right.
Part (a)✔
By how much, in joules, does the kinetic energy of the cylinder increase?
$\Delta K = 0.8830 \text{ J}$
Part (b)
What is the final angular velocity, in revolutions per minute, after the application of the torque?
$\omega_f = 55.12$ rpm
