Assertion : Angle of repose is equal to the a | vedclass

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Question

$\begin{array}{l}
The\,{m{maximum}}\,value\,of\,static\,friction\,up\
to\,which\,body\,does\,not\,move\,is\,called\,\
{m{limiting}}\,friction

Vedclass · Accepted Answer

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

Vedclass · Answer

$\begin{array}{l}
The\,{m{maximum}}\,value\,of\,static\,friction\,up\
to\,which\,body\,does\,not\,move\,is\,called\,\
{m{limiting}}\,friction.\
\,\,\,\,\,\,\,\,\,Angle\,of\,repose\,is\,defined\,as\,the\,angle\
\,\,\,\,\,\,\,\,\,\,of\,the\,inclined\,plane\,with\,horizontal\
\,\,\,\,\,\,\,\,\,\,such\,that\,a\,body\,placed\,on\,it\,is\,just\,\
\,\,\,\,\,\,\,\,\,\,begins\,to\,slide.\
\,\,\,\,\,\,\,\,\,In\,{m{limiting}}\,{m{condition,}}\
\,\,\,\,\,\,\,\,\,F = mg\sin \alpha \,and\,R = mg\cos \alpha \
\,\,\,\,\,\,\,\,\,where\,\alpha  - angle\,of\,repose.
\end{array}$

$\begin{array}{l}
\,\,So\,\frac{F}{R} = 	an \alpha \
\,\,\,\,\,\,\,\,\,\,	herefore \frac{F}{R} = {\mu _2} = 	an 	heta  = 	an \alpha \,\,\,\left( {	an 	heta  = {\mu _s}} ight)\
\,\,\,\,\,\,\,\,\,\,or\,	heta  = \alpha \
\,\,\,\,\,\,\,\,\,\,i.e,.\,angle\,of\,friciton\, = \,angle\,of\,repose.
\end{array}$

$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.

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Maximum value of static friction is called

What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ........ $N$

A block of mass $2 kg$ slides down an incline plane of inclination $30^o$. The coefficient of friction between block and plane is $0.5$. The contact force between block and plank is :

$Assertion$ : Angle of repose is equal to the angle of limiting friction. $Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.

Similar Questions

Maximum value of static friction is called

What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ........ $N$

A block of mass $2 kg$ slides down an incline plane of inclination $30^o$. The coefficient of friction between block and plane is $0.5$. The contact force between block and plank is :

$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.