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A 0.122 kg remote control 25.0 cm long rests on a table, as shown in the figure(

ID: 2035519 • Letter: A

Question

A 0.122 kg remote control 25.0 cm long rests on a table, as shown in the figure(Figure 1), with a length L overhanging its edge. To operate the power button on this remote requires a force of 0.350 N .

Part A

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.

A 0.122 kg remote control 25.0 cm long rests on a table, as shown in the figure(Figure 1), with a length L overhanging its edge. To operate the power button on this remote requires a force of 0.350 N .

Part A

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.

L = cm   

Explanation / Answer

applying torque as remote is in equilibrium

0.350 (L - 0.0121) - (0.122 * 9.8)(d/2 - L) = 0

0.350 (L - 0.0121) - (0.122 * 9.8) (0.25/2 - L) = 0

0.350 L - 0.0042 - 1.19(0.125 - L) = 0

0.350 L - 0.0042 - 0.149 + 1.19 L = 0

0.350 L + 1.19 L = 0.0042 + 0.149

L = 0.0994 m = 9.94 cm