|---------------------------------| | ^ | | F_1 F_2 F_u where ^ indicates the fu

ID: 1329237 • Letter: #

Question

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| ^ | |

F_1 F_2 F_u

where ^ indicates the fulcrum at the c.o.g of the stick, F_1 & F_2

are the known forces (directed down) and F_u is the force exerted by

the unknown (also down).

1. Assume that F_u = m_U * g

2. Take lever arms r_1, r_2, and r_u measured from the fulcrum.

3. Write out the conditions of equilibrium for this system.

4. Solve the second equation for the unknown mass.

5. Assume that we have uncertainties in the lever arm delta r_1,

delta r_2, delta r_u, and that all other measured values are exact.

6. Write an expression for the minimum and maximum values of m_u

given these uncertainties.

Equilibrium condition is F1r1+F2r2+Furu=0

Fu=FGr1+Fu(r1+r2)/(r1+r2+ru)

F=m*acceleration

So,muau=mgagr1+muau(r1+r2)/(r1+r2+ru)

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