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:
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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
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 ........ $m/s$
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 $g = 10\, ms^{-2}$) ........ $N$
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 $(s)$
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 $g = 10\, ms^{-2}$ )
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
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...... $N$
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, $g =10\,ms ^{-2}$)