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**1. Homework Statement**

A person wants to push a lamp(mass 9.6 kg) across the floor a) Assuming the person pushes at a height of 60 cm above the ground and the coefficient of friction is 0.20, determine whether the lamp will slide or tip over b) Calculate the maximum height above the floor at which the person can push the lamp so that it slides rather than tips.

Hint: The base of the lamp is a flat metal disk of radius = 10 cm. If the lamp were to tip over, it would rotate around the bottom-right edge of this base.

**2. Homework Equations**

[tex] F_{net} = 0[/tex]

[tex]\tau_{net} =0 [/tex]

[tex]\tau = Fd\sin(\theta)[/tex]

**3. The Attempt at a Solution**

I don't know how would you figure out where the person can hold the lamp by using coefficient of friction in the equations.