A block of wood resting on an inclined plane of angle $30^o$, just starts moving down. If the coefficient of friction is $0.2$, its velocity (in $ms^{-1}$) after $5\, seconds$ is : $(g = 10\, ms^{-2})$
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A car of $800 \mathrm{~kg}$ is taking turn on a banked road of radius $300 \mathrm{~m}$ and angle of banking $30^{\circ}$. If coefficient of static friction is $0.2$ then the maximum speed with which car can negotiate the turn safely : $\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2, \sqrt{3}=1.73\right)$
The dumbell is placed on a frictionless horizontal table. Sphere $A$ is attached to a frictionless pivot so that $B$ can be made to rotate about $A$ with constant angular velocity. If $B$ makes one revolution in period $P$, the tension in the rod is
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ${\omega _0}$. If the length of the string and angular velocity are doubled, the tension in the string which was initially ${T_0}$ is now
Two blocks $( m =0.5\, kg$ and $M =4.5\, kg$ ) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is $\frac{3}{7} .$ Then the maximum horizontal force that can be applied on the larger block so that the blocks move together is ......... $N.$ (Round off to the Nearest Integer) [Take g as $9.8\, ms ^{-2}$ ]
Acceleration of block $A$ varies with time as shown in figure the value of coefficient of kinetic friction between block $A$ and $B$ is the value of coefficient of kinetic friction between block $A$ and $B$ is ..............
A block of mass $2 \,kg$ is kept on the floor. The coefficient of static friction is $0.4$. If a force F of $2.5$ Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be ........ $N$
A vehicle of mass $200\,kg$ is moving along a levelled curved road of radius $70\,m$ with angular velocity of $0.2\,rad / s$. The centripetal force acting on the vehicle is $.........\,N$
A cube of mass $m$ slides down an inclined right-angle trough. If the coefficient of kinetic friction between the cube and the trough is $\mu _k$ , then the acceleration of the block is