(Solved): 9. (15 pts.) The solid disc shown below has radius 50cm and mass 2.5kg, and is rotating at an i ...

9. (15 pts.) The solid disc shown below has radius $$50\mathrm{cm}$$ and mass $$2.5\mathrm{kg}$$, and is rotating at an initial angular velocity of $${?}_0=10\mathrm{rad}/\mathrm{s}$$. A force of $$12.5\mathrm{N}$$ acts on the rim at an angle of $$30^{?}$$. a. What torque does the force exert on the disc? $$+4$$ (Include the sign/direction.) ( 5 pts.) $$\begin{array}{l}?=12.5\mathrm{N}.5\mathrm{m}\sin 30^{?}=3.125\mathrm{Nm}\\ \text{ sigh? }\end{array}$$ b. Find the angular acceleration $$?$$ of the disc. $$(5)$$ $$+3\stackrel{I}{I}=\frac{1}{2}(2.5\mathrm{kg})(.5\mathrm{m}{)}^2=0.625{\mathrm{kgm}}^2$$ Missing somerhong. $$\begin{array}{l}?=\frac{T_{\text{net }}t}{I}=\frac{3.125\mathrm{Nm}}{0.625\mathrm{kgm}}=\frac{\mathrm{m}/\mathrm{s}}{\mathrm{m}}\\ \text{ unit on }?\text{ ? }\end{array}$$ c. What is the angle $$??$$ that the disc rotates through before stopping? (5 pts.)