17/18 APIDC Physics1 Chrome MasteringPysics Ch7amp Problem Secure I https// sess

Question

17/18 APIDC Physics1 Chrome MasteringPysics Ch7amp Problem Secure I https// session masteringphysics commettemvnr?assignmentProbient Ch 7&,8 Problems Rem 17 2474102 00% 17 of 49 70% Constants Part A You want to slowly push a soff board across a 30 em gap betwentwo talsietopns that are at the same height If you apply only a horiotal torce, houw liong must the board be so that i doesnt tit down into the Express your answer to tawo significant figures and include the appropriate units so% Value Units Request Anwer 100% Next Provide Feedback 0%

Explanation / Answer

This is a conceptual problem. The board needs to go over it’s center of gravity in order for it to fall. If it is a 20 cm gap the board needs to be double that length to maintain it’s equilibrium at the center.

Hence

Lmin = 40 cm

Another way:

The torque created by the piece over the gap must be less than that on the table

Take the fulcrum to be the edge of the first table

so0.10m * 0.20 < (x/2)* x , where x is the amount of the board over the table

so x2 > 2*0.10*0.20

x >sqrt(2*0.10*0.20) = 0.20m or 20 cm

Therefore the board must be at least 20 + 20 or 40 cm long

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