How far does a rolling ball travel on a loose track before it tips?

[myoplex11]

Homework Statement

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?

Homework Equations

The Attempt at a Solution

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

 

[tiny-tim]

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

Hi myoplex11!

Nooo …

which point have you taken moments (torque) about?

take moments about the edge of the table …

try again!