1. From your estimate of the uncertainty in the resultant angles in part one of the vectors lab, would finer degree marks along the rim of the table improve the accuracy of the experiment? Consider that reading angles to the nearest degree gives a precision of better than one half degree. Do changes of one half degree noticeably affect the equilibrium?
2. The weights used in the lab are accurate to 1% of their stamped value. In parts 1 a) and 1 b) you estimated an uncertainty in the applied weight (the resultant vectors magnitude). Make a rough comparison of the expected uncertainty ( leq 1%) and the uncertainties you estimated.
3. Assume that the weights used were accurate to 1%. To improve the accuracy of the experiment which would you do first: get more precisely marked weights, get a finer degree scale, or install pulleys having less friction. Explain your choice.
4. Suppose in part 1 a) the pulleys remain fixed but the total weight on each string is doubled. If the system was in balance before the weights were added, would equilibrium still exist after the weights are added? If 100 g is added to each string in part 1 a) will the system still be in equilibrium? Explain your answers.