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Physics

Mechanics

Easy

Question

$text In the above situation of end text mu text is coefficient of friction between the rod and the surface end text tan invisible function application theta equals$

$\frac{4 μ}{15}$
$\frac{2 μ}{7}$
$\frac{2 μ}{13}$
$\frac{4 μ}{13}$

The correct answer is: $fraction numerator 4 mu over denominator 13 end fraction$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row cell text Rod begins to slip when end text mu N minus m g sin invisible function application theta equals m a subscript n end cell row cell not stretchy rightwards double arrow mu fraction numerator 4 m g cos invisible function application theta over denominator 7 end fraction minus m g sin invisible function application theta equals m open parentheses L over 4 close parentheses omega squared end cell end table table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell fraction numerator 4 mu m g cos invisible function application theta over denominator 7 end fraction minus m g sin invisible function application theta equals m L over 4 open parentheses fraction numerator 24 g sin invisible function application theta over denominator 7 L end fraction close parentheses end cell row cell not stretchy rightwards double arrow fraction numerator 4 mu m g cos invisible function application theta over denominator 7 end fraction minus m g sin invisible function application theta equals fraction numerator 6 m g sin invisible function application theta over denominator 7 end fraction end cell row cell not stretchy rightwards double arrow fraction numerator 4 mu m g cos invisible function application theta over denominator 7 end fraction equals fraction numerator 13 m g sin invisible function application theta over denominator 7 end fraction end cell row cell not stretchy rightwards double arrow 4 mu m g cos invisible function application theta equals 13 m g sin invisible function application theta not stretchy rightwards double arrow tan invisible function application theta equals fraction numerator 4 mu over denominator 13 end fraction end cell end table$

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