$\begin{array}{l} \,\,\,\,\,\,\,\,\,\,\,\,pseudo\,force\,or\,fictitious\,force,\\ {F_{fic}} = m\alpha \,Force\,of\,friction,\,f = \mu N = \mu m\alph

$\;\alpha $ $ \ge $ $\frac{g}{\mu }$

$\begin{array}{l} \,\,\,\,\,\,\,\,\,\,\,\,pseudo\,force\,or\,fictitious\,force,\\ {F_{fic}} = m\alpha \,Force\,of\,friction,\,f = \mu N = \mu m\alpha \\ The\,block\,of\,mass\,m\\ will\,not\,fall\,as\,long\,\\ as\,\\ \,\,\,\,\,\,\,\,\,\,\,\,\,f \ge mg\\ \,\,\,\,\,\,\,\,\,\,\mu m\alpha \ge mg\\ \,\,\,\,\,\,\,\,\,\,\,\,\alpha \ge \frac{g}{\mu } \end{array}$

4-2.FrictionMedium

A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu .$ The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

[AIPMT 2010]

A
$\;\alpha $ > $\frac{{mg}}{\mu }$
B
$\;\alpha $ > $\frac{g}{{\mu m}}$
C
$\;\alpha $ $ \ge $ $\frac{g}{\mu }$
D
$\;\alpha $ < $\frac{g}{\mu }$

Std 11
Physics

A uniform rod of length $L$ and mass $M$ has been placed on a rough horizontal surface. The horizontal force $F$ applied on the rod is such that the rod is just in the state of rest. If the coefficient of friction varies according to the relation $\mu = Kx$ where $K$ is a $+$ ve constant. Then the tension at mid point of rod is

Difficult

View Solution

A block of mass $1\, kg$ is at rest on a horizontal table. The coefficient of static friction between the block and the table is $0.5.$ The magnitude of the force acting upwards at an angle of $60^o$ from the horizontal that will just start the block moving is

Medium

View Solution

A girl holds a book of mass $m$ against a vertical wall with a horizontal force $F$ using her finger, so that the book does not move. The frictional force on the book by the wall is

Medium

[KVPY 2012]

View Solution

A vehicle is moving with speed $v$ on a curved road of radius $r$. The coefficient of friction between the vehicle and the road is $\mu$. The angle $\theta$ of banking needed is given by

Difficult

[KVPY 2009]

View Solution

A block of mass $m$ rests on a rough inclined plane. The coefficient of friction between the surface and the block is $\mu$. At what angle of inclination $\theta$ of the plane to the horizontal will the block just start to slide down the plane?

Easy

View Solution

JEE Main

A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu .$ The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

Similar Questions

A block of mass $1\, kg$ is at rest on a horizontal table. The coefficient of static friction between the block and the table is $0.5.$ The magnitude of the force acting upwards at an angle of $60^o$ from the horizontal that will just start the block moving is

A girl holds a book of mass $m$ against a vertical wall with a horizontal force $F$ using her finger, so that the book does not move. The frictional force on the book by the wall is

A vehicle is moving with speed $v$ on a curved road of radius $r$. The coefficient of friction between the vehicle and the road is $\mu$. The angle $\theta$ of banking needed is given by

A block of mass $m$ rests on a rough inclined plane. The coefficient of friction between the surface and the block is $\mu$. At what angle of inclination $\theta$ of the plane to the horizontal will the block just start to slide down the plane?