Question

e-PHYS 1401 - X Home Row Review - EdClub Ch. 9 Problems & Exercises - Cox 36 HW: Statics and Tort Dates > HW: Statics and Torque Resources Apollo and Artemis are playing on the tecter-totter in their school's playground. They both have approximately the same mass. They are sitting on either side of the teeter-lotter at about the same distance from the teeter-totter's pivot point. The teeter-totter is going up and down and they are having a great time! Mercury, the new kid in school, wanders by. Since they are very friendly kids, Apollo and Artemis ask Mercury to join them. Mercury joins Apollo on his side of the teeter-totter and sits next to him. What should Artemis do in order to keep the fun going? Move closer to the teeter-totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo Move farther from the teeter-totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo Move farther from the teeter-totter's pivot point in order to balance out the new smaller torque provided by Mercury and Apollo Move closer to the tecter-totter's pivot point in order to balance out the new smaller torque provided by Mercury and Apollo

Answer 1

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- Tart the torqueacting on the teeter – totters due to Apollomass=\TApollo|=MrApollo the torqueacting on the teeter – totters dueto Artemis mass= |f Art |=MrArt the net torqueacting on teeter – totters before mercury join is= = = TApollo +Tart = 0) Apollo => MrApollo g =Mrang ; => MrApollo = MrArt ; (M = mass of Apollo and M=mass of Artemis) l'Apollo = position of Apollofrom the pivot of teeter – totter lart =position of Artemis from the pivot of teeter – totter before Mercury join; l'Apollo = lart if Mercury join Apollo; let the mass of mercury =m to keep the teeter – torrer in balance; the position of Apollo and mercury together from the pivot of teeter – totter = f'Apollo the new position of Artemis from the pivot of teeter – totter =r the balance of the torque on (M+m)[Apoulog =Mr'. =>MrApollo + mrApollo = Mr'Art (the new smaller torque =m Apolog) for this equation to be true the new postion of Artemis is = r'Art >Tapollo) which mean Artemis "Movefarther from the teeter – totter pivot point in order to balance out the new smaller torque provided by the mercury" Art =