Question

In: Physics

A 0.115-kg remote control 15.8 cm long rests on a table, as shown in the figure...

A 0.115-kg remote control 15.8 cm long rests on a table, as shown in the figure below, with a length L overhanging its edge. To operate the power button on this remote requires a force of 0.370 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 on the end of the remote overhanging the table.

can you please show me how you got the answer?

Expert Solution

Length of the remote L ' = 15.8 cm

= 0.158 m

Mass of the remote m = 0.115 kg

Force F = 0.370 N

Weight of the remote W = mg

= 1.127 N

Center of mass of the remote x = L ' / 2

= 0.079 m

For moment of forces , F L = W ( x-L)

L = ( W/ F ) (x-L)

= 3.0459 ( x- L)

= 0.2406 - 3.0459 L

4.0459 L = 0.2406

L = 0.05947 m

= 5.947 cm

genius_generous answered 8 months ago

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