A student is trying to balance a long beam on a fulcrum so that the beam does not rotate. If the beam has two masses on it that are 7.84 meters apart (a 5.3 kg mass on the left end and a 22.7kg mass at the opposite end), where should the student place the fulcrum so the system will be in static equilibrium? Assume the beam is massless. Please show your work.

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?