Calculating Torque in a Rolling Ball on an Inclined Track | Homework Problem

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A homework problem involves calculating how far a 4.74 kg spherical ball rolls on a track before the track tips over. The track has a linear mass density of 0.82 kg/m and extends 0.33 meters over the edge of a table. The initial torque calculation equates the torques of the ball and the track but is incorrect due to the point of rotation not being properly identified. The correct approach suggests taking moments about the edge of the table for accurate torque calculations. This adjustment is crucial for determining the correct distance the ball travels before the track begins to tip.
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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
 
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myoplex11 said:
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! :smile:

Nooo …

which point have you taken moments (torque) about? :confused:

take moments about the edge of the table …

try again! :smile:
 

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