A rocket is fired vertically frorn the earth with an acceleration of  $2\,g,$  where $g$  is the gravitational acceleration. On an inclined plane inside the rocket, making an angle $\theta $ with the horizontal, a point object of mass $m$ is kept. The minimum coefficient of friction $\mu _{min}$  between the mass and the inclined surface such that the mass does not move is
  • A$tan\,\,2\theta $
  • B$tan\,\theta $
  • C$3\,tan\,\theta $
  • D$2\,tan\,\theta $
JEE MAIN 2016, Medium
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 block of mass $5$ kg lies on a rough horizontal table. A force of $19.6\, N$ is enough to keep the body sliding at uniform velocity. The coefficient of sliding friction is
    View Solution
  • 2
    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
  • 3
    In 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 coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. Choose the correct statement $(s)$ related to the tension $T$ in the string
    View Solution
  • 4
    A heavy box is solid across a rough floor with an initial speed of $4 \,m / s$. It stops moving after $8$ seconds. If the average resisting force of friction is $10 \,N$, the mass of the box (in $kg$ ) 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
    A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu  .$ The coin will revolve with the record if
    View Solution
  • 7
    Statement $I :$ A cyclist is moving on an unbanked road with a speed of $7\, kmh ^{-1}$ and takes a sharp circular turn along a path of radius of $2 \,m$ without reducing the speed. The static friction coefficient is $0.2$ . The cyclist will not slip and pass the curve $\left( g =9.8\, m / s ^{2}\right)$

    Statement $II :$ If the road is banked at an angle of $45^{\circ}$, cyclist can cross the curve of $2\, m$ radius with the speed of $18.5\, kmh ^{-1}$ without slipping.

    In the light of the above statements, choose the correct answer from the options given below.

    View Solution
  • 8
    Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces is
    View Solution
  • 9
    A block of mass $m$ lying on a rough horizontal plane is acted upon by a horizontal force $P$ and another force $Q$ inclined at an angle $\theta $ to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is
    View Solution
  • 10
    A lift is moving downwards with an acceleration equal to acceleration due to gravity. $A$ body of mass $M$ kept on the floor of the lift is pulled horizontally. If the coefficient of friction is $\mu $, if the lift is moving upwards with a uniform velocity, then the frictional resistance offered by the body is
    View Solution