(C) For the system to accelerate,the driving force must overcome the limiting friction force acting on block $M$.$1$. The limiting friction force on b

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The system will accelerate only when $m > \mu M$.

(C) For the system to accelerate,the driving force must overcome the limiting friction force acting on block $M$.$1$. The limiting friction force on block $M$ is $f_{max} = \mu N = \mu M g$,where $N = M g$ is the normal force.$2$. The driving force acting on the system is the weight of the hanging block $m$,which is $m g$.$3$. The system will start to accelerate only when the driving force exceeds the limiting friction force:$m g > \mu M g$$4$. Dividing both sides by $g$,we get:$m > \mu M$Therefore,the system will accelerate only when $m > \mu M$.

Class 11 Physics Laws of Motion Motion (or rest) on Rough Inclined Surface

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In the figure,two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with a coefficient of friction $\mu$,and the mass $m$ is hanging vertically. The pulley is frictionless. Choose the correct statement$(s)$.

A
The system will accelerate for any value of $m$.
B
The system will accelerate only when $m > M$.
C
The system will accelerate only when $m > \mu M$.
D
Nothing can be said.

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Laws of Motion

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Motion (or rest) on Rough Inclined Surface

$A$ body is sliding down an inclined plane having a coefficient of friction $0.5$. If the normal reaction is twice that of the resultant downward force along the incline,the angle between the inclined plane and the horizontal is ....... $^o$

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$A$ homogeneous cubical brick lies motionless on a rough inclined surface. The half of the brick which applies greater pressure on the plane is:

Medium

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DifficultAIEEE 2012

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$A$ chain of length $L$ rests on a rough table. If $\mu$ is the coefficient of friction,the maximum fraction of the chain that can hang over the table will be:

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In the figure,two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with a coefficient of friction $\mu$,and the mass $m$ is hanging vertically. The pulley is frictionless. Choose the correct statement$(s)$.

Similar Questions

$A$ body is sliding down an inclined plane having a coefficient of friction $0.5$. If the normal reaction is twice that of the resultant downward force along the incline,the angle between the inclined plane and the horizontal is ....... $^o$

$A$ homogeneous cubical brick lies motionless on a rough inclined surface. The half of the brick which applies greater pressure on the plane is:

$A$ chain of length $L$ rests on a rough table. If $\mu$ is the coefficient of friction,the maximum fraction of the chain that can hang over the table will be:

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