College Physics

2009-10-25 6:55 pm
A 0.112 kg remote control 24.0 cm long rests on a table, as shown in the figure , with a length L overhanging its edge. To operate the power button on this remote requires a force of 0.355 N.

How far can the remote control extend beyond the edge of the table and still not tip over when you press the power button? Assume the mass of the remote is distributed uniformly, and that the power button is 1.21 cm from the overhanging end of the remote.

回答 (1)

2009-10-25 7:05 pm
✔ 最佳答案
Let L be the required distance.

Take moment about the edge of the table

Anti-clockwise moment = Clockwise moment

(0.12 - L)mg = (L - 0.0121)F

(0.12 - L)(0.112)(9.8) = (L - 0.0121)(0.355)

0.131712 - 1.0976L = 0.355L - 0.0042955

L = 0.0936 m

So, the remote control can be extended 9.36 cm beyond the edge of table.
參考: Physics king


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