*echo Pulley Puzzle Results

## Pulley Puzzle Results

*use funct9 *if (f(x).eq.0.5) then

1. Correct: *else

2. Nope! You claim M1/M2 = *write f(x) web.2 , *if (f(x).gt.0.5) then this is too large. Hint: *else this is too small. Hint: *endif *endif in equilibrium the tensions are all equal, and two of these equal tensions support M2. *use funct8 *if (f(x).eq.0.5) then

3. Correct. *else

4. Nope! You claim M2 moves up *write f(x) web.2 m, *if (f(x).gt.0.5) then this is too large. Hint: *else this is too small. Hint: *endif If you cut a meter of string from T2 and T3 and glued those two string pieces to T1, how far down would M1 be? How far up would M2 be? *endif *use m1,m2,t1,t2,t3,g,r *set m1 3 m2 5 t1 7 t2 11 t3 13 g 17 r 23 i3 29 *use funct0 *if (f(x).eq.3*17-7) then

5. Correct! *elseif (f(x).eq.-(3*17-7)) then

6. Sign Error! *else

7. Nope, your formula for the downward force on M1 doesn't check. *endif Gravity pulls M1 down, T1 pulls M1 up *use funct1 *if (f(x).eq.(7-13)*23) then

8. Correct! *elseif (f(x).eq.-((7-13)*23)) then

9. Sign Error! *else

10. Nope, your formula for the torque on P doesn't check. *endif T1 twists counterclockwise; T2 twists clockwise. *use funct2 *if (f(x).eq.(13-11)*23/2) then

11. Correct! *elseif (f(x).eq.-((13-11)*23/2)) then

12. Sign Error! *else

13. Nope, your formula for the torque on Q doesn't check. *endif T3 twists counterclockwise; T2 twists clockwise. *if (Tratio.eq.1) then

14. Correct! *else

15. Nope. The tensions must be equal; explain why! *endif *use funct3 *set t3 11 *if (f(x).eq.2*11-17*5) then

16. Correct! *elseif (f(x).eq.-(2*11-17*5)) then

17. Sign Error! *else

18. Nope, your formula for the net force on M2 doesn't check. *endif *use funct4 *if (f(x).eq.(3-5/2)*17/(3+29/23^2+5/4)) then

19. Correct! *else

20. Nope! *endif