 # A 1.3 kg toaster is not plugged in. The coefficient ofstatic friction between the toaster and a horizontal countertop is 0.35. To make the toaster sta FizeauV 2021-04-20 Answered
A 1.3 kg toaster is not plugged in. The coefficient ofstatic friction between the toaster and a horizontal countertop is 0.35. To make the toaster start moving, you carelesslypull on its electric cord.
PART A: For the cord tension to beas small as possible, you should pull at what angle above thehorizontal?
PART B: With this angle, how largemust the tension be?
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F $\mathrm{cos}$ x = u.m.g then
$F=um\frac{g}{\mathrm{cos}x}=\left(0.35\right)\left(1.3\right)\frac{9.8}{\mathrm{cos}x}$
$F=\frac{4.46}{\mathrm{cos}x}$
a. taking differential of this we have :
${F}^{\prime }=0\left(\mathrm{cos}x\right)-\left(4.46\right)\frac{-\mathrm{sin}x}{{\mathrm{cos}}^{2}x}=4.46\frac{\mathrm{sin}x}{{\mathrm{cos}}^{2}x}$
taken its stationary we'll have
${F}^{\prime }=4.46\frac{\mathrm{sin}x}{{\mathrm{cos}}^{2}x}=0\to \mathrm{sin}x=0\to x={0}^{o}$
b. $F=\frac{4.46}{\mathrm{cos}0}=\frac{4.46}{1}=4.46N$