A block of mass $m$ is placed on a surface with a vertical cross section given by $y = \frac{{{x^3}}}{6}$ If the coefficient of friction is $0.5$,the maximum height above the ground at which the block can be placed without slipping is:
  • A$\frac{2}{3}m$
  • B$\;\frac{1}{3}m$
  • C$\;\frac{1}{2}m$
  • D$\;\frac{1}{6}m$
JEE MAIN 2014, Diffcult
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 body takes just twice the time as long to slide down a plane inclined at $30^o$ to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is
    View Solution
  • 2
    A car has to move on a level turn of radius $450\,m.$ If the coefficient of static friction between tyre and the road is $\mu  = 0.2.$ Find the maximum speed the car can take without skidding is given by ........ $m/s$
    View Solution
  • 3
    A cart moves with a constant speed along $a$ horizontal circular path. From the cart, $a$ particle is thrown up vertically with respect to the cart
    View Solution
  • 4
    A block of mass $10\, kg$ is kept on a rough inclined plane as shown in the figure. A force of $3\, N$ is applied on the block. The coefficient of static friction between the plane and the block is $0.6$. What should be the minimum value of force $P$, such that the block does not move downward? (take $g = 10\, ms^{-2}$) ........ $N$
    View Solution
  • 5
    Imagine $a$ situation in which the horizontal surface of block $M_0$ is smooth and its vertical surface is rough with $a$ coefficient of friction $\mu$  Identify the correct statement $(s)$
    View Solution
  • 6
    Two blocks $A$ and $B$ of equal masses are sliding down along straight parallel lines on an inclined plane of $45^o$ . Their coefficients of kinetic friction are $\mu _A = 0.2$ and $\mu _B = 0.3$ respectively. At $t = 0$ , both the blocks are at rest and block $A$ is $\sqrt 2$ metre behind block $B$ . The time and distance from the initial position where the front faces of the blocks come in line on the inclined plane as shown in figure. (Use $g = 10\, ms^{-2}$ )
    View Solution
  • 7
    The sphere is performing rolling up an inclined plane, the frictional force is
    View Solution
  • 8
    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
  • 9
    A force of $750 \,N$ is applied to a block of mass $102\, kg$ to prevent it from sliding on a plane with an inclination angle $30°$ with the horizontal. If the coefficients of static friction and kinetic friction between the block and the plane are $0.4 $ and $0.3$ respectively, then the frictional force acting on the block is...... $N$
    View Solution
  • 10
    A block of mass $5\,kg$ is placed at rest on a table of rough surface. Now, if a force of $30\,N$ is applied in the direction parallel to surface of the table, the block slides through a distance of $50\,m$ in an interval of time $10\,s$. Coefficient of kinetic friction is (given, $g =10\,ms ^{-2}$)
    View Solution