Lab $10$

$3.$II$.$ Model Hiero's ship launch experimentally by placing the pivot at the $30$ cm mark and hanging a $200$ g mass at the one centimeter mark. Calculate the mass that you need to place at the $90$ cm mark in order to balance the ship such that the net torque is zero. Record calculated mass below. Be sure to include the mass of your meterstick in your calculation. Assume the hanger used to hold the $200$ g mass is part of the ship $m_{\text{s}\text{h}\text{i}\text{p}}=m_{200g}+m_{\text{h}\text{a}\text{n}\text{g}\text{e}\text{r}}.$ Show your calculations in the space below.

Calculated added mass $M_a=$

$3.$III. Using the mass that you calculated in the previous step, check your calculation experimentally by making sure that the system balances. Did your ship balance? If not, adjust the added mass until it does balance. Record the mass required for balance below. If the ship did not balance with the calculated mass value, explain why not.

Experimentally measured added mass $M_a=$

$3.$IV$.$ What is the ratio of the applied force $(F_a)$ to the weight of the ship $(w_{\text{s}\text{h}\text{i}\text{p}})?$

$(\frac{F_a}{W_{\text{s}\text{h}\text{i}\text{p}}})=$

$3.$V$.$ Based on Figure $10-5,$ how could you make the ship even easier to lift?