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A body takes time $t$ to reach the bottom of an inclined plane of angle $\theta$ with the horizontal. If the plane is made rough, time taken now is $2t$. The coefficient of friction of the rough surface is
Two masses $m_1 = 5\ kg$ and $m_2 = 10\ kg$, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is $0.15$. The minimum weight $m$ that should be put on top of $m_2$ to stop the motion is ........ $kg$
A body of mass $10$ kg slides along a rough horizontal surface. The coefficient of friction is $1/\sqrt 3 $. Taking $g = 10\,m/{s^2}$, the least force which acts at an angle of $30^o $ to the horizontal is ...... $N$
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
A block of mass $10 \,kg$ is released on rough incline plane. Block start descending with acceleration $2 \,m / s ^2$. Kinetic friction force acting on block is ..... $N$ (take $g=10 \,m / s ^2$ )
A $60\, kg$ body is pushed with just enough force to start it moving across a floor and the same force continues to act afterwards. The coefficient of static friction and sliding friction are $0.5$ and $0.4$ respectively. The acceleration of the body is ........ $m/{s^2}$
In the given arrangement of a doubly inclined plane two blocks of masses $\mathrm{M}$ and $\mathrm{m}$ are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is $0.25$ . The value of $\mathrm{m}$, for which $\mathrm{M}=10$ $\mathrm{kg}$ will move down with an acceleration of $2 \mathrm{~m} / \mathrm{s}^2$, is : (take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ and $\left.\tan 37^{\circ}=3 / 4\right)$
Blocks shown in figure moves with constant velocity $10 \,m / s$ towards right. All surfaces in contact are rough. The friction force applied by $B$ on $A$ is ...........$N$
The two blocks $A$ and $B$ of equal mass are initially in contact when released from rest on the inclined plane. The coefficients of friction between the inclined plane $A$ and $B$ are $\mu_1$ and $\mu_2$ respectively.