A block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and $\tan \theta>\mu$. The block is held stationary by applying a force $\mathrm{P}$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $\mathrm{P}$ is varied from $\mathrm{P}_1=$ $m g(\sin \theta-\mu \cos \theta)$ to $P_2=m g(\sin \theta+\mu \cos \theta)$, the frictional force $f$ versus $P$ graph will look like
IIT 2010, Advanced
Download our app for free and get startedPlay store
Initially the frictional force is upwards as $\mathrm{P}$ increases frictional force decreases.
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
    Two blocks, $4\, kg$ and $2\, kg$ are sliding down an inclined plane as shown in figure. The acceleration of $2\, kg$ block is ........ $m/s^2$ 
    View Solution
  • 2
    A block of $1\, kg$ is stopped against a wall by applying a force $F$ perpendicular to the wall. If $\mu = 0.2$ then minimum value of $F$ will be ....... $N.$
    View Solution
  • 3
    A uniform chain of length $L$ which hanges partially from a table, is kept in equilibrium by friction. The maximum length that can withstand without slipping is $l$ , then coefficient of friction between the table and the chain is
    View Solution
  • 4
    Two stones of masses $m$ and $2\,m$ are whirled in horizontal circles, the heavier one in a radius $\frac{r}{2}$ and the lighter one in radius $r.$ The tangential speed of lighter stone is $n$ times that of the value of heavier stone when they experience same centripetal forces. The value of $n$ is
    View Solution
  • 5
    A cyclist turns around a curve at $15\, miles/hour$. If he turns at double the speed, the tendency to overturn is
    View Solution
  • 6
    Which one of the following statements is incorrect? 
    View Solution
  • 7
    A uniform rope of total length $l$ is at rest on a table with fraction $f$ of its length hanging (see figure). If the coefficient of friction between the table and the chain is $\mu$, then
    View Solution
  • 8
    Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio
    View Solution
  • 9
    A cyclist taking turn bends inwards while a car passenger taking same turn is thrown outwards. The reason is
    View Solution
  • 10
    Three blocks $A$, $B$ and $C$ of equal mass $m$ are placed on a smooth surface as shown. Coefficient of friction between any block $A, B$ and $C$ is $μ$. The maximum value of mass $D$ so the block $A, B$ & $C$ move without slipping over each other is
    View Solution