posted by jeff on .
A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a loop of radius 39 cm that sits on a table 1.2 meters above the ground. The last 1 meter section of the track is horzontal and is not connected to the rest of the track. 0.33 meters of this section of the track hangs over the edge of the table. The track has a linear mass density of 0.82 kg/m.
How far does the ball travel along the loose length of track before the track starts to tip?
can you please check my work thanks
Torqueball = Torquetrack
4.75(g)x = 0.82g(0.5)
x = .82/.4.75 (0.5) = 0.086498
it travels 0.33m - 0.089498 =0.24m
The track mass is 0.82 kg and its CG is 0.50 - 0.33 = 0.17 m from the edge of the table. When the ball has travelled x meters past the edge and tipping begins, x*4.74 = 0.82*0.17
x = 2.9*10^-2 m = 2.9 cm