[填空题]
You are designing a clutch 6vwstn pwq w+g((d+ucb7oqu*,*vly3assembly which consistizcm /0+ cj ty4p*cn8lho m7*xs of two cylindrical plates, of mass *cmtz*+084nh ypjmlxoc 7/i c $M_{\mathrm{A}}=6.0$ $\mathrm{kg}$ and $M_{\mathrm{B}}=9.0$ $\mathrm{kg}$ with equal radii R=0.60 $\mathrm{m}$ They are initially separated (Fig. 8–57). Plate $M_{\mathrm{A}}$ is accelerated from rest to an angular velocity $\omega_1=7.2$ $\mathrm{rad/s}$ in time $\Delta t=2.0$ s Calculate (a) the angular momentum of $M_{\mathrm{A}}$ $kg \cdot m^2$ (b) the torque required to have accelerated $M_{\mathrm{A}}$ from rest to $\omega_{1}$ $m \cdot N$ (c) Plate $M_{\mathrm{B}}$ initially at rest but free to rotate without friction, is allowed to fall vertically (or pushed by a spring), so it is in firm contact with plate $M_{\mathrm{A}}$ (their contact surfaces are high-friction). Before contact, $M_{\mathrm{A}}$ was rotating at constant $\omega_{1}$ After contact, at what constant angular velocity $\omega_{s}$ do the two plates rotate? $rad/s$