Name: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ Objective The objective of this lab is to use torque to obtain equilibrium on a balance. Background Torque $($Magnitude$)$: $=,$ when r is perpendicular to F$.$ In this lab, Force $($F$)=$ Mass $($m$)$ x Acceleration Due to Gravity $($g$)$ Torque is Positive if rotation is Counter Clockwise $($CCW$)$ and Negative if rotation is Clockwise $($CW$).$ Equilibrium on a balance is obtained when the sum of the toques is equal to zero. Procedure Follow instructions given in class. Complete the tables under Data. PHYS $140$ Torque Lab $10$ Data: Case Side of Balance $($Left or Right$)$ Position $($m$)$ Mass $($g$)$ Force $($N$)$ Torque $($m$$N$)1$ L $0\mathrm{.}40200$ R $100$ X X X Sum of Torque $$ Case Side of Balance $($Left or Right$)$ Position $($m$)$ Mass $($g$)$ Force $($N$)$ Torque $($m$$N$)2$ L $0100$ R $100$ R $200$ X X X Sum of Torque $$ Case Side of Balance $($Left or Right$)$ Position $($m$)$ Mass $($g$)$ Force $($N$)$ Torque $($m$$N$)3$ L $35100$ L $45100$ R $50$ R $200$ X X X Sum of Torque $$ PHYS $140$ Torque Lab $10$ Analysis $1.$ Assume that we have an unknown mass, explain how we can use a balance to determine what the unknown mass is$.2.$ Do some research to find and list applications that require equilibrium of rotation. Conclusion $1.$ Was the objective of the lab accomplished? $2.$ Explain why we can ignore the mass of the beam. What assumption are we making?