MR 2 2 . Find the magnitude of the angular acceleration of the cylinder about th

Question

MR22

. Find the magnitude of the angular acceleration of the cylinder about the axis of rotation.

1 2 Three forces are applied to a solid cylinder of mass 12 kg (see the drawing). The magnitudes of the forces are F1 = 15 N, F2 = 24 N, and F3 = 23 N. The radial distances are R2 = 0.22 m and R3 = 0.10 m. The forces Vector F2 and Vector F3 are perpendicular to the radial lines labeled R2 and R3. The moment of inertia of the cylinder is 1 2 MR22 . Find the magnitude of the angular acceleration of the cylinder about the axis of rotation.

Explanation / Answer

Torque Q = F2*R2 - F3*R3 = 3.58 N?m

I =

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