Physics-

General

Easy

Question

A hollow vertical cylinder of radius R is rotated with angular velocity w about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended on the inside of the cylinder as it rotates?

$μ = \frac{g R}{ω^{2}}$
$μ = \frac{ω^{2} g}{R}$
$μ = \frac{ω^{2} R}{g}$
$μ = \frac{g}{ω^{2} R}$

The correct answer is: $mu equals fraction numerator g over denominator omega to the power of 2 end exponent R end fraction$

$I f tan space alpha comma tan space beta$ are the roots of the equation $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then $s i n squared invisible function application left parenthesis alpha plus beta right parenthesis plus p s i n invisible function application left parenthesis alpha plus beta right parenthesis c o s invisible function application left parenthesis alpha plus beta right parenthesis plus q c o s squared invisible function application left parenthesis alpha plus beta right parenthesis equals$

Maths-General

General

Maths-

$cos space left parenthesis x minus y right parenthesis plus cos space left parenthesis y minus z right parenthesis plus cos space left parenthesis z minus x right parenthesis equals negative 3 over 2 not stretchy rightwards double arrow sum left parenthesis cos space x right parenthesis equals$

Maths-General

General

Maths-

$text In a end text straight triangle A B C comma text if end text sin text end text A sin space B sin space C equals 1 third$ then the value of $c o t space A c o t space B plus c o t space B c o t space C plus c o t space C c o t space A$ is

Maths-General

General

Maths-

$cot invisible function application A plus cot invisible function application B plus cot invisible function application C plus fraction numerator cos invisible function application left parenthesis A plus B plus C right parenthesis over denominator sin invisible function application A sin invisible function application B sin invisible function application C end fraction equals$

Maths-General

General

Maths-

$text In a end text straight triangle A B C comma tan invisible function application A plus tan invisible function application B plus tan invisible function application C equals 6$ and $tan invisible function application A tan invisible function application B equals 2$ then the triangle $A B C$ is

Maths-General

General

Maths-

$text If end text tan invisible function application straight A equals 1 comma tan invisible function application straight B equals 2 comma tan invisible function application straight C equals 3 text then end text straight A plus straight B plus straight C equals$

Maths-General

General

Maths-

$text If end text alpha plus beta plus gamma equals pi over 2 text and end text cot invisible function application alpha comma cot invisible function application beta comma cot invisible function application gamma text are in end text straight A stack P with _ below with _ below text then end text cot invisible function application alpha times cot invisible function application gamma equals$

Maths-General

General

Maths-

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

Maths-General

General

Maths-

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

Maths-General

General

Maths-

$text If end text sin text end text B equals 1 fifth times sin space left parenthesis 2 A plus B right parenthesis text then end text fraction numerator tan begin display style text end text end style left parenthesis A plus B right parenthesis over denominator tan begin display style text end text end style A end fraction equals$

Maths-General

General

Maths-

$text If end text sin text end text x plus sin space y equals 3 left parenthesis cos space y minus cos space x right parenthesis text then end text fraction numerator sin begin display style text end text end style 3 x over denominator sin begin display style text end text end style 3 y end fraction equals$

Maths-General

General

Maths-

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

Maths-General

General

Maths-

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

Maths-General

General

Maths-

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

Maths-General

General

Maths-

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

Maths-General

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A hollow vertical cylinder of radius R is rotated with angular velocity w about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended on the inside of the cylinder as it rotates?

$μ = \frac{g R}{ω^{2}}$
$μ = \frac{ω^{2} g}{R}$
$μ = \frac{ω^{2} R}{g}$
$μ = \frac{g}{ω^{2} R}$

The correct answer is: $mu equals fraction numerator g over denominator omega to the power of 2 end exponent R end fraction$

Related Questions to study

$cos space left parenthesis x minus y right parenthesis plus cos space left parenthesis y minus z right parenthesis plus cos space left parenthesis z minus x right parenthesis equals negative 3 over 2 not stretchy rightwards double arrow sum left parenthesis cos space x right parenthesis equals$

$cos space left parenthesis x minus y right parenthesis plus cos space left parenthesis y minus z right parenthesis plus cos space left parenthesis z minus x right parenthesis equals negative 3 over 2 not stretchy rightwards double arrow sum left parenthesis cos space x right parenthesis equals$

$text In a end text straight triangle A B C comma text if end text sin text end text A sin space B sin space C equals 1 third$ then the value of $c o t space A c o t space B plus c o t space B c o t space C plus c o t space C c o t space A$ is

$text In a end text straight triangle A B C comma text if end text sin text end text A sin space B sin space C equals 1 third$ then the value of $c o t space A c o t space B plus c o t space B c o t space C plus c o t space C c o t space A$ is

$text In a end text straight triangle A B C comma tan invisible function application A plus tan invisible function application B plus tan invisible function application C equals 6$ and $tan invisible function application A tan invisible function application B equals 2$ then the triangle $A B C$ is

$text In a end text straight triangle A B C comma tan invisible function application A plus tan invisible function application B plus tan invisible function application C equals 6$ and $tan invisible function application A tan invisible function application B equals 2$ then the triangle $A B C$ is

$text If end text tan invisible function application straight A equals 1 comma tan invisible function application straight B equals 2 comma tan invisible function application straight C equals 3 text then end text straight A plus straight B plus straight C equals$

$text If end text tan invisible function application straight A equals 1 comma tan invisible function application straight B equals 2 comma tan invisible function application straight C equals 3 text then end text straight A plus straight B plus straight C equals$

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

$cot space B equals 2 tan space left parenthesis A minus B right parenthesis not stretchy rightwards double arrow 2 tan space B plus cot space B equals$

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

$cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals$

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

$text If end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text then end text cos text end text left parenthesis alpha minus beta right parenthesis equals$

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

$cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals$

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A hollow vertical cylinder of radius R is rotated with angular velocity w about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended on the inside of the cylinder as it rotates?

The correct answer is:

Related Questions to study

are the roots of the equation then

are the roots of the equation then

then the value of is

then the value of is

and then the triangle is

and then the triangle is

if are the roots of the equation, then

if are the roots of the equation, then

then which one of the following is true

then which one of the following is true

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The correct answer is: $mu equals fraction numerator g over denominator omega to the power of 2 end exponent R end fraction$

$text In a end text straight triangle A B C comma text if end text sin text end text A sin space B sin space C equals 1 third$ then the value of $c o t space A c o t space B plus c o t space B c o t space C plus c o t space C c o t space A$ is

$text In a end text straight triangle A B C comma text if end text sin text end text A sin space B sin space C equals 1 third$ then the value of $c o t space A c o t space B plus c o t space B c o t space C plus c o t space C c o t space A$ is

$text In a end text straight triangle A B C comma tan invisible function application A plus tan invisible function application B plus tan invisible function application C equals 6$ and $tan invisible function application A tan invisible function application B equals 2$ then the triangle $A B C$ is

$text In a end text straight triangle A B C comma tan invisible function application A plus tan invisible function application B plus tan invisible function application C equals 6$ and $tan invisible function application A tan invisible function application B equals 2$ then the triangle $A B C$ is

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

if $tan space alpha comma tan space beta$ are the roots of the equation, $x squared plus p x plus q equals 0 left parenthesis p not equal to 0 right parenthesis$ then

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true

$text If end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text and end text tan space Atan space straight B equals 2 text end text$ then which one of the following is true