A body of mass $\mathrm{m}$ is kept on a rough horizontal surface (coefficient of friction $=\mu$ ) A horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given by $\mathrm{F},$ where $\mathrm{F}$ is
NEET 2019, Medium
Download our app for free and get startedPlay store
$\mathrm{N}=\mathrm{mg}, \mathrm{F}=\mathrm{f}$

Resultant $=\sqrt{\mathrm{N}^{2} +\mathrm{f}^{2}} =\sqrt{(\mathrm{mg})^{2}+\mathrm{f}^{2}} \leq \mathrm{mg} \sqrt{1+\mu^{2}}$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A cyclist moves in a circular track of radius $100$ m. If the coefficient of friction is $0.2$, then the maximum velocity with which the cyclist can take the turn with leaning inwards is ...... $m/s$ 
    View Solution
  • 2
    Acceleration of block $A$ varies with time as shown in figure the value of coefficient of kinetic friction between block $A$ and $B$ is the value of coefficient of kinetic friction between block $A$ and $B$ is .............. 
    View Solution
  • 3
    Consider the system shown below. A horizontal force $F$ is applied to a block $X$ of mass $8 \,kg$, such that the block $Y$ of mass $2 \,kg$ adjacent to it does not slip downwards under gravity. There is no friction between the horizontal plane and the base of the block $X$. The coefficient of friction between the surfaces of blocks $X$ and $Y$ is $0.5$. The minimum value of $F$ is ............ $N$ (take, acceleration due to gravity to be $10 \,ms ^{-2}$ )
    View Solution
  • 4
    The minimum value of $‘F’$ so that block is in equilibrium is
    View Solution
  • 5
    A heavy box is to dragged along a rough horizontal floor. To do so, person $A$ pushes it at an angle $30^o$ from the horizontal and requires a minimum force $F_A$, while person $B$ pulls the box at an angle $60^o$ from the horizontal and needs minimum force $F_B$. If the coefficient of friction between the box and the floor is $\frac{{\sqrt 3 }}{5}$ , the ratio $\frac{{{F_A}}}{{{F_B}}}$ is
    View Solution
  • 6
    If a ladder weighing $250\,N$ is placed against a smooth vertical wall having coefficient of friction between it and floor is $0.3$, then what is the maximum force of friction available at the point of contact between the ladder and the floor ........ $N$
    View Solution
  • 7
    Two beads connected by massless inextensible string are placed over the fixed ring as shown in figure. Mass of each bead is $m$ , and there is no friction between $B$ and ring. Find minimum value of coefficient of friction between $A$ and ring so that system remains in equilibrium. ( $C \to $center of ring, $AC$ line is vertical)
    View Solution
  • 8
    Consider a block kept on an inclined plane (inclined at $45^{\circ}$ ) as shown in the figure. If the force required to just push it up the incline is $2$ times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane $(\mu)$ is equal to
    View Solution
  • 9
    Concretemixture is made by mixing cement, stone and sand in a rotating cylindrical drum . If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute (rpm) to ensure proper mixing is close to (Take the radius of the drum to be $1.25\, m$ and its axle to be horizontal)
    View Solution
  • 10
    Which one of the following statements is incorrect? 
    View Solution