PHYS-1500 PHYSICAL MODELING
FALL 2006
Driven Mechanical Oscillator
Below is a copy of the program for an oscillator with damping and a driving force. It assumes
that the damping force is proportional to velocity with a constant of proportionality, b, so Ff = –
bv. The driving force is sinusoidal with an amplitude, F, so Fd = F sin 0t. Below the picture of
the spreadsheet are the contents of the cells. For the cells above the actual program, i.e. rows 1
through 8, only the contents of the cells containing formulae have been given. For rows 13 and
14, the contents of all cells have been given. When row 14 is complete, the entire row should be
copied to rows 15 through 113. Then, use the program to answer the questions on the assignment
sheet.
E7: =SQRT(E4/E5)
E8: =MAX(B13:B113)
E9: =2*PI()/E7
A13: 0
A14: =A13+$B$4
B13: =B5
B14: =B13+$B$4*C14
D13: =(-$E$4/$E$5)*B13-$E$6/$E$5*C13+E13
D14: =(-$E$4/$E$5)*B14-$E$6/$E$5*C14+E14
C13: =B6
C14: =C13+$B$4*D13
E13: =$B$8*SIN($B$7*A13)
E14: =$B$8*SIN($B$7*A14)