The center of mass is the unique point where the weighted relative position of the distributed mass sums to zero. If the object is first balanced to find its center of mass, then the entire weight of the object can be considered to act at that center of mass. If the object is then shifted a measured distance away from the center of mass and again balanced by hanging a known mass on the other side of the pivot point, the unknown mass of the object can be determined by balancing the torques.ġ.
We learned that t orque is the tendency of a force to rotate an object about an axis, fulcrum, or pivot. The magnitude of torque depends on three quantities: the force applied, the length of the lever arm connecting the axis to the point of force application, and the angle between the force vector and the lever arm.
#TORQUE EQUILIBRIUM AND CENTER OF GRAVITY LAB REPORT HOW TO#
In this lab, we learned how to investigate the conditions for rotational equilibrium of a rigid bar, and how to determine the center of gravity of a system of masses. Compare the calculated and experimental result. Where should the point of support on the meter stick be to balance this system? Check your result by actually placing the 100 g at the 30 cm mark and balancing this system. Calculate the position of the center of gravity of this combination (two masses and meter stick). With the 200 grams still at 90 cm mark, imagine that you now position an additional 100 grams mass at the 30 cm mark on the meter stick. So, here we still use the balance point as 48.5cm, the mass of clamp also shouldn't be included.Ħ. Because in part 1, when we got the balance point of the meter stick (48.5cm) , there is no clamp or mass on it. In this case, the mass of clamp is included in 200grams, so it shouldn't be included as part of the mass of the meter stick. The mass of meter stick obtained from the balance: 84.2g Should the clamp holding the meter stick be included as part of the mass of the meter stick? EXPLAIN! Compare this with the meter stick mass obtained from the balance. From this information, calculate the mass of the meter stick. Place about 200 grams at 90 cm on the meter stick and balance the system by changing the balance point of the meter stick. Measured value of the unknown mass: 91.5g Measure the mass of the unknown on a balance and compare the two masses by finding the percent difference. Using the equilibrium condition for rotational motion, calculate the unknown mass. Readjust the positions of the masses until equilibrium is achieved, recording all values. Replace one of the above masses with an unknown mass. Calculate the net torque on this system about the point support and compare with the expected value. Place the same two masses used above at different locations on the same side of the support and balance the system with a third mass on the opposite side. We should include the mass of the clamps, because now the clamp with the mass can be seen as a system, so the mass should be all together.
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