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.*
A uniform chain is at rest partially on the incline and partially hanging vertically. Coefficient of friction between chain and incline is $\mu = \frac{1}{{2\sqrt 3 }}$. The ratio of $\frac{{{L_{\max }}}}{{{L_{\min }}}}$ is $(L_{max} =$ maximum length of chain kept on inclined so that chain remains at rest, $L_{min} =$ minimum length of chain kept on incline so that chain remains at rest)
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force $2\,N$ down the inclined plane. The maximum external force up the inclined plane that does not move the block is $10\,N.$ The coefficient of static friction between the block and the plane is : $[$Take $g = 10\,m/s^2 ]$
A small ball of mass $m$ starts at a point $A$ with speed $v_0$ and moves along a frictionless track $AB$ as shown. The track $BC$ has coefficient of friction $\mu $. The ball comes to stop at $C$ after travelling a distance $L$ which is
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, $g =10\,ms ^{-2}$)
A boy of mass $4\, kg$ is standing on a piece of wood having mass $5 \,kg$. If the coefficient of friction between the wood and the floor is $0.5,$ the maximum force that the boy can exert on the rope so that the piece of wood does not move from its place is ......$N.$(Round off to the Nearest Integer) [Take $g=10 \,ms ^{-2}$ ]
The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is
Two masses $M$ and $m$ are attached to a vertical axis by weightless threads of combined length $l$. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity $\omega $. If the tensions in the threads are the same during motion, the distance of $M$ from the axis is
A car is moving on a plane inclined at $30^{\circ}$ to the horizontal with an acceleration of $10\, {ms}^{-2}$ parallel to the plane upward. A bob is suspended by a string from the roof of the car.The angle in degrees which the string makes with the vertical is ...... . (Take ${g}=10\, {ms}^{-2}$ )
The ratio of acceleration of blocks $A$ placed on smooth incline with block $B$ placed on rough incline is $2: 1$. The coefficient of kinetic friction between block $B$ and incline is .........