A block of mass M is held against a rough vertical wall by pressing it with a finger. If the coefficient of friction between the block and the wall is µ and the acceleration due to gravity is g, calculate the minimum force required to be applied by the finger to hold the block against the wall ?

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation-given mass of the block =M

Coefficient of friction between block and the wall = $\mu$

In equilibrium  condition vertical and horizontal component balance each other

So f=mg

And F=N but the force of friction f= $\mu N=\mu F$

  $\mu F=Mg$

F= Mg/ μ $\mu$

<p>This is a Short Answer type Questions as classified in NCERT Exemplar</p><p><strong><span lang="EN-IN">Explanation-</span></strong><span lang="EN-IN">given mass of the block =M</span></p><p><span lang="EN-IN">Coefficient of friction between block and the wall = <span contenteditable="false"> <math> <mi>μ</mi> </math> </span></span><span lang="EN-IN">&lt;!- [endif]-&gt;</span>&lt;!- [endif]-&gt;</p><p><span lang="EN-IN">In equilibrium &nbsp;condition vertical and horizontal component balance each other</span></p><p><span lang="EN-IN">So f=mg</span></p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1751023092phplqypC5.jpeg" alt="" width="241" height="229" loading="lazy"></picture></div></div><p><span lang="EN-IN">And F=N but the force of friction f=<span contenteditable="false"> <math> <mi>μ</mi> <mi>N</mi> <mo>=</mo> <mi>μ</mi> <mi>F</mi> </math> </span></span><span lang="EN-IN">&lt;!- [endif]-&gt;</span>&lt;!- [endif]-&gt;</p><p><span lang="EN-IN">&nbsp;<span contenteditable="false"> <math> <mi>μ</mi> <mi>F</mi> <mo>=</mo> <mi>M</mi> <mi>g</mi> </math> </span></span><span lang="EN-IN">&lt;!- [endif]-&gt;</span>&lt;!- [endif]-&gt;</p><p><span lang="EN-IN">F= Mg/<em> </em></span>&lt;!- [if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:normal'><span lang=EN-IN style='font-family:"Cambria Math", serif; mso-fareast-font-family:"Times New Roman"mso-fareast-theme-font:minor-fareast; mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin'><m:r>μ</m:r></span></i></m:oMath><! [endif]-&gt;&lt;!- [if !msEquation]-&gt;<span lang="EN-IN">&lt;!- [if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:6.5pt;height:14pt'> <v:imagedata src="file://C://Users/ALOK~1.SIN/AppData/Local/Temp/msohtmlclip1/01/clip_image005.png" o:title="" chromakey="white"/></v:shape><! [endif]-&gt;&lt;!- [if !vml]-&gt;<img src="file://C://Users/ALOK~1.SIN/AppData/Local/Temp/msohtmlclip1/01/clip_image006.png" width="9" height="19"><span contenteditable="false"> <math> <mi>μ</mi> </math> </span>&lt;!- [endif]-&gt;</span>&lt;!- [endif]-&gt;</p>

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