5. To obtain your third estimate of x, remove m2 and balance the stick on a knife edge clamp. The meter stick is balanced because its CM is resting on the knife-edge clamp which is at the fulcrum of the system. Record x, the position of the CM from the weighted end of the stick. B. DETERMINATION OF AN UNKNOWN MASS 1. Having calculated the position of the center of mass on the previous page, set up the apparatus as shown in Fig. 1 by moving the fulcrum back to the midpoint of the stick. m2, a metal cube, will be the unknown mass. 2. Using a string, hang the unknown mass on the stick and slide it along the stick to balance. 3. Record the new of d2. Use Eq. 2 to obtain your estimate of the unknown mass, m2. = =   0 , so = 0 and , giving = F1d1 + (F2d2) F2 d1 m2g d1. = Eq. 2 m2 d1 4. Weigh the metal cube on the electronic balance and find the percent difference between the two measurements of m2. C. MULTIPLE-TORQUE SYSTEM: FINDING THE MASS OF A METAL CUBE (Use the same m2 as in Part B) 1. The equilibrium condition can be used even when there are several torques involved. Set up the apparatus as shown below: Fig. 3 2. Use Eq. 3 to obtain another estimate of the unknown mass m2. = =  0 , so = 0 giving F1d1 + F2d2 F3d3 - F4d4 F2 = Eq. 3 m2 3. Find the percent difference between this measurement and the value obtained directly from the electronic balance.
5. To obtain your third estimate of x, remove m2 and balance the stick on a knife edge clamp. The meter stick is balanced because its CM is resting on the knife-edge clamp which is at the fulcrum of the system. Record x, the position of the CM from the weighted end of the stick. B. DETERMINATION OF AN UNKNOWN MASS 1. Having calculated the position of the center of mass on the previous page, set up the apparatus as shown in Fig. 1 by moving the fulcrum back to the midpoint of the stick. m2, a metal cube, will be the unknown mass. 2. Using a string, hang the unknown mass on the stick and slide it along the stick to balance. 3. Record the new of d2. Use Eq. 2 to obtain your estimate of the unknown mass, m2.   = 0 , so F1d1 + (F2d2) = 0 and F2 = d1 , giving m2g = d1. m2 = d1 Eq. 2 4. Weigh the metal cube on the electronic balance and find the percent difference between the two measurements of m2. C. MULTIPLE-TORQUE SYSTEM: FINDING THE MASS OF A METAL CUBE (Use the same m2 as in Part B) 1. The equilibrium condition can be used even when there are several torques involved. Set up the apparatus as shown below: Fig. 3 2. Use Eq. 3 to obtain another estimate of the unknown mass m2.  = 0 , so F1d1 + F2d2 F3d3 - F4d4 = 0 giving F2 = m2 = Eq. 3 3. Find the percent difference between this measurement and the value obtained directly from the electronic balance.
P06%20Lab%20Book.docx