A block of mass $m$ slides down the plane inclined at angle $30^{\circ}$ with an acceleration $\frac{ g }{4}$. The value of coefficient of kinetic friction will be :
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As shown in the figure a block of mass $10\,kg$ lying on a horizontal surface is pulled by a force $F$ acting at an angle $30^{\circ}$, with horizontal. For $\mu_{ s }=0.25$, the block will just start to move for the value of $F..........\,N$ : $\left[\right.$ Given $\left.g =10\,ms ^{-2}\right]$
A body of mass $40\,kg$ resting on rough horizontal surface is subjected to a force $P$ which is just enough to start the motion of the body. If $\mu_{ s }=5, \mu_{ x }=0.4$, $g =10\,m / s ^2$ and the force $P$ is continuously applied on the body, then the acceleration of the body is $.........m/s^{2}$
A horizontal force of $4\,N$ is needed to keep a block of mass $0.5\, kg$ sliding on a horizontal surface with a constant speed. The coefficient of sliding friction must be :- $[g = 10\, m/s^2]$
A car of weight $W$ is on an inclined road that rises by $100\,m$ over a distance of $1\,Km$ and applies a constant frictional force $\frac {W}{20}$ on the car. While moving uphill on the road at a speed of $10\,ms^{-1},$ the car needs power $P.$ If it needs power $\frac {P}{2}$ while moving down hill at speed $v$ then value of $v$ is ........ $ms^{-1}$
A block of mass $10 \,kg$ is kept on a fixed rough $(\mu=0.8)$ inclined plane of angle of inclination $30^{\circ}$. The frictional force acting on the block is ........... $N$
A rod $(AB)$ is attached to a fixed point $(C)$ using a light rope $(AC)$. The other end of the rod $(B)$ is sitting on ice with negligible friction and the system is in stationary position. Which of the following can be the equilibrium configuration of this system?
$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ The minimum value of $\mu$ between the block $M$ and $m_0$ (taking horizontal surface frictionless) for which all the three blocks move together, is