Question

height of the mass in its highest position: 62.5 cm height of the mass in its lowest position: 6.6 cm start time (release): 30 s end time (reach the bottom): shapes Trail 1 Trial2 Trial3 Trial4 Trial5 solid disk 31.90s 31.96s 31.915 31.89s 31.96s hollow disk 32.94s 32.995 32.90s 32.975 33.01s oddly-shaped disk(center) 31.62s 31.64s 31.64s 31.68s 31.69s oddly-shaped disk(off-center) 32.295 32.37s 32.32s 32.35s 32.35s solid disk: mass 83.0 g diameter 86 mm hollow disk: mass 227.4 g outer diameter 86 mm inner diameter 29 mm oddly-shaped disk: mass 73.9 g radius from 27mm to 43mm

Using the data above, (a) Report the height change of the falling object. Make a table for the measurements of the time it took for the object to fall when using both the solid disk and heavy hollow disk. (b) What data was required to determine if the solid disk or heavy hollow disk has the larger moment of inertia? Does the heavy hollow disk have a higher or lower moment of inertia than the solid disk? Explain.

Answer 1

Moment of Puertia of solid disk MR2 2 Ykr moment of Inertion of hollow diska MTM (p=02)] 2 where R= outer radius r- inner radius. only the values of lance & outer radius and masses of both disks are required to determine which has the darger moment of quertia. In this case heavy hollow disk has a higher moment of auertia . Because MR? M (R²782) < 하 2 2