The horizontal acceleration that should be given to a smooth inclined plane of angle $sin^{-1}\, (1/l)$ to keep an object stationary on the plane relative to the inclined plane is
$g/\sqrt {{l^2} - 1} $
$g\sqrt {{l^2} - 1} $
$\sqrt {{l^2} - 1} /g$
$g/\sqrt {{l^2} + 1} $
One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$ the net force on the particle (directed towards the centre) is :
$(i) \;T,$ $(ii)\; T-\frac{m v^{2}}{l},$ $(iii)\;T+\frac{m v^{2}}{l},$ $(iv) \;0$
$T$ is the tension in the string. [Choose the correct alternative].
In the given arrangement, the normal force applied by block on the ground is
Which force act on body first action or reaction ?
A body of mass $60\,kg$ is suspended by means of three strings $P, Q$ and $R$ as shown in the figure is in equilibrium. The tension in the string $P$ is $..........g\,N$
Write condition of translational equilibrium of particle.