A particle of mass $m$, initially at rest, is acted on by a force $F = F_0 \left\{ {1 - {{\left( {\frac{{2t - T}}{T}} \right)}^2}} \right\}$ during the interval $0 \leq 0 \leq t \leq T$. The velocity of the particle at the end of the interval is :
$\frac{{5{F_0}T}}{{6m}}$
$\frac{{4{F_0}T}}{{3m}}$
$\frac{{2{F_0}T}}{{3m}}$
$\frac{{3{F_0}T}}{{2m}}$
What should be the minimum force $P$ to be applied to the string so that block of mass $m$ just begins to move up the frictionless plane.
A light string passing over a smooth light pulley connects two block of masses $m_1$ and $m_2$ (vertically). If the acceleration of the system is $(\frac {g}{8})$, then the ratio of masses is
The acceleration of $10\,kg$ block when $F =30\,N$
A smooth cylinder of mass $m$ and radius $R$ is resting on two corner edges $A$ and $B$ as shown in fig. The relation between normal reaction at the edges $A$ and $B$ is
A balloon with mass $'m'$ is descending down with an acceleration $'a'$ (where $a < g$ ). How much mass should be removed from it so that it starts moving up with an acceleration $'a'$ ?