Three solids of masses ${m_1},\,{m_2}$ and ${m_3}$ are connected with weightless string in succession and are placed on a frictionless table. If the mass ${m_3}$ is dragged with a force T, the tension in the string between ${m_2}$ and ${m_3}$ is
$\frac{{{m_2}}}{{{m_1} + {m_2} + {m_3}}}T$
$\frac{{{m_3}}}{{{m_1} + {m_2} + {m_3}}}T$
$\frac{{{m_1} + {m_2}}}{{{m_1} + {m_2} + {m_3}}}T$
$\frac{{{m_2} + {m_3}}}{{{m_1} + {m_2} + {m_3}}}T$
A block '$A$' takes $2\,s$ to slide down a frictionless incline of $30^{\circ}$ and length ' $l$ ', kept inside a lift going up with uniform velocity ' $v$ '. If the incline is changed to $45^{\circ}$, the time taken by the block, to slide down the incline, will be approximately $........\,s$
Two wooden blocks are moving on a smooth horizontal surface such that the block of mass $m$ remains stationary with respect to block of mass $M$ as shown in the figure. The magnitude of force $P$ is
In which of the following cases is the contact force between $A$ and $B$ maximum $(m_A = m_B = 1 kg)$
The tension in the string which connected the blocks as shown in the following figure ............ $ N$
Two bodies of masses $m_{1}=5\,kg$ and $m _{2}=3\,kg$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass $m _{1}$ will be$....N$ [Take $g=10\,ms ^{-2}$ ]