Physics, asked by AnshAayush, 1 year ago

In the figure shown, there is a block of mass 4kg kept over a block of mass 6kg. Coefficient of friction
between block is p, and between block and ground is My, then minimum ratio of u1/u2 that the masses
move together is.​

Answers

Answered by BrainlyConqueror0901
33

CORRECT QUESTION :

In the figure shown, there is a block of mass 4kg kept over a block of mass 6kg. Coefficient of friction between block and block is u1 , and between block and ground is u2, then minimum ratio of u1/u2 that the masses move together is.

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{\frac{\mu_{1}}{\mu_{2}}\geq\frac{3}{2}}}}\\

\green{\tt{\therefore{\frac{\mu_{1}}{\mu_{2}}\leq\frac{3}{2}}}}\\

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

 \green{\underline \bold{Given :}} \\  \tt:  \implies Mass \: of \: block \: 1 = 4 \: kg \\  \\ \tt:  \implies Mass \: of \: block \: 2 = 6 \: kg \\  \\  \tt :  \implies Coefficient \: of \: friction \: between \: block \: and \: block =  \mu_{1} \\  \\ \tt :  \implies Coefficient \: of \: friction \: between \: block \: and \: ground =  \mu_{2} \\  \\ \red{\underline \bold{To \: Find :}} \\  \tt:  \implies  \frac{  \mu_{1} }{\mu_{2}}  = ?

• According to given question :

 \bold{If \: force \: applied \: on \: 4 \: kg \: block} \\  \tt:  \implies  fr_{1}  \geq fr_{2} \\  \\  \tt:  \implies   \mu_{1}m_{1} g  \geq \mu_{2}m_{2} g \\  \\ \tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }  \geq  \frac{ m_{2} g}{m_{1} g}  \\  \\ \tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }  \geq \frac{6}{4}  \\  \\  \green{\tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }  \geq \frac{3}{2} } \\  \\  \bold{If \: force \: applied \: on \: 6 \: kg \: block} \\  \tt:  \implies  fr_{1}   \leq  fr_{2} \\  \\  \tt:  \implies   \mu_{1}m_{1} g   \leq \mu_{2}m_{2} g \\  \\ \tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }   \leq \frac{ m_{2} g}{m_{1} g}  \\  \\ \tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }   \leq \frac{6}{4}  \\  \\  \green{\tt:  \implies  \frac{ \mu_{1} }{  \mu_{2} }   \leq \frac{3}{2} }


Anonymous: Awesome:)
BrainlyConqueror0901: thnx bro : )
Answered by Saby123
24

QUESTION :

The given Question is Slightly Wrong.

.I am writing the correct Question...

In the figure shown, there is a block of mass 4kg kept over a block of mass 6kg. Coefficient of friction between block and block is u1 , and between block and ground is u2, then minimum ratio of u1/u2 that the masses move together is _______

SOLUTION :

 \red{\leadsto \bold{Given \::+ }} \\ \tt: \mapsto\:  Mass _{1 } = 4 \: kg \\ \\ \tt: \mapsto Mass _{  2 }  = 6 \: kg \\ \\ \tt : \leadsto \:   \mu_{1} \: = \: ? \\ \\ \tt : \mapsto \: \mu_{2} \: = ?

 {\tt{\purple{\leadsto{ \dfrac{ \mu_{1} } { \mu_{2} } \propto \dfrac{Mass_{1} } { Mass_{2} } }}}}}

Hence :

 {\tt{\orange{\leadsto{ \dfrac{ \mu_{1} } { \mu_{2} } \propto \dfrac{3 } { 4} } }}}}

 \begin{lgathered}\bold{If \: force \: applied \: on \: 4 \: kg \: block} \\ \tt: \implies fr_{1} \geq fr_{2} \\ \\ \tt: \implies \mu_{1}m_{1} g \geq \mu_{2}m_{2} g \\ \\ \tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \geq \frac{ m_{2} g}{m_{1} g} \\ \\ \tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \geq \frac{6}{4} \\ \\ \blue{\tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \geq \frac{3}{2} } \\ \\ \bold{If \: force \: applied \: on \: 6 \: kg \: block} \\ \tt: \implies fr_{1} \leq fr_{2} \\ \\ \tt: \implies \mu_{1}m_{1} g \leq \mu_{2}m_{2} g \\ \\ \tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \leq \frac{ m_{2} g}{m_{1} g} \\ \\ \tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \leq \frac{6}{4} \\ \\ \purple{\tt: \implies \frac{ \mu_{1} }{ \mu_{2} } \leq \frac{3}{2} }\end{lgathered}

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