A child is standing at one end of a long trolley moving with a speed $v$ on a smooth horizontal floor. If the child starts running towards the other end of the trolley with a speed $u$ , the centre of mass of the system (trolley + child) will move with a speed
zero
$(v + u)$
$(v -u)$
$v$
A road is $10\,\, m$ wide. Its radius of curvature is $50\,\,m$ . The outer edge is above the lower edge by a distance of $1.5\,\,m$ . this road is most suited for the velocity ......... $m/\sec$
Which of the following is self adjusting force?
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 :
In the figure the tension in the diagonal string is $60\,N$.
Find the magnitude of the horizontal force $\overline{ F }_1$ and $\overline{ F }_2$ that must be applied to hold the system in the position shown.
Two masses $A$ and $B$ of $10\,kg$ and $5\,kg$ respectively are connected with a string passing over a fricionless pulley fixed at the corner of a table as show $n$ in figure. The coefficient of friction of $A$ with the table is $0.2$ . The minimum mass of $C$ that may be placed on $A$ to prevent if from moving is equal to $...........\,kg$