A thin, flexible metal plate attached at one end to a platform can be used to me

ID: 2012542 • Letter: A

Question

A thin, flexible metal plate attached at one end to a platform can be used to measure mass. When the free end of the plate is pulled down and released, it vibrates in simple harmonice motion with a period that depends on the mass attached to the plate. To calibrate the force constant, objects of known mass are attached to the plate and the plate is vibrated, obtaining the data shown below.

Fill in the blanks in the data table.

Mass (kg)

Average Time for Ten Vibrations (s)

Period T (s)

Period2 T2 (s2)

0.1

5.05

0.2

7.22

0.3

9.03

0.4

10.1

9.5

10.95

0.7

13.25

0.9

15.30

1.2

17.33

1.5

19.06