*echo
Pulley Puzzle Results
Pulley Puzzle Results
*use funct9
*if (f(x).eq.0.5) then
- Correct:
*else
- 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
- Correct.
*else
- 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
- Correct!
*elseif (f(x).eq.-(3*17-7)) then
- Sign Error!
*else
- 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
- Correct!
*elseif (f(x).eq.-((7-13)*23)) then
- Sign Error!
*else
- 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
- Correct!
*elseif (f(x).eq.-((13-11)*23/2)) then
- Sign Error!
*else
- Nope, your formula for the torque on Q
doesn't check.
*endif
T3 twists counterclockwise;
T2 twists clockwise.
*if (Tratio.eq.1) then
- Correct!
*else
- Nope. The tensions must be equal; explain why!
*endif
*use funct3
*set t3 11
*if (f(x).eq.2*11-17*5) then
- Correct!
*elseif (f(x).eq.-(2*11-17*5)) then
- Sign Error!
*else
- 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
- Correct!
*else
- Nope!
*endif