Three forces starts acting simultaneously on a particle moving with velocity $\vec v.$ These forces are represented in magnitude and direction by the three sides of a triangle $ABC$ (as shown). The particle will now move with velocity
$\overrightarrow {v\,} $ remaining unchanged
Less than $\overrightarrow {v\,} $
Greater than $\overrightarrow {v\,} $
$\overrightarrow {v\,} $ in the direction of the largest force $BC$
Write day to day life example in which motion is controlled.
A dynamometer $D$ is attached to two blocks of masses $6 \,kg$ and $4 \,kg$ as shown in the figure. The reading of the dynamometer is ............ $N$
A large number $(n)$ of identical beads, each of mass $m$ and radius $r$ are strung on a thin smooth rigid horizontal rod of length $L\, (L >> r)$ and are at rest at random positions. The rod is mounted between two rigid supports (see figure) . If one of the beads is now given a speed $v$, the average force experienced by each support after a long time is (assume all collisions are elastic)
A piece of wire is bent in the shape of a parabola $y=k x^2$ ( $y$-axis vertical) with a bead of mass $m$ on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the $x$-axis with a constant acceleration $\alpha$. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the $y$-axis is