$A$ weightless rod is acted on by upward parallel forces of $2N$ and $4N$ ends $A$ and $B$ respectively. The total length of the rod $AB = 3m$. To keep the rod in equilibrium a force of $6N$ should act in the following manner:
Downwards at any point between $A$ and $B.$
Downwards at mid point of $AB.$
Downwards at a point $C$ such that $AC = 1m.$
Downwards at a point $D$ such that $BD = 1m.$
A uniform rod of length $1\, m$ and mass $4\, kg$ is supported on two knife-edges placed $10 \,cm$ from each end. A $60\, N$ weight is suspended at $30\, cm$ from one end. The reactions at the knife edges is
As shown in figure, a mass $m$ = $500\ g$ hangs from the rim of a wheel of radius $r$ = $20\ cm$. When released from rest, the mass falls $2.0\ m$ in $8\ sec$. Then moment of inertia of the wheel is.......... $kg-m^2$. $(g = 10\ m/s^2)$
A horizontal beam is pivoted at $O$ as shown in the figure. Find the mass $m$ to make the scale straight ........ $kg.$
$A$ sphere is placed rotating with its centre initially at rest ina corner as shown in figure $(a)$ & $(b)$. Coefficient of friction between all surfaces and the sphere is $\frac{1}{3}$. Find the ratio of the frictional force $\frac{{{f_a}}}{{{f_b}}}$ by ground in situations $(a)$ & $(b)$.
$A$ uniform ladder of length $5m$ is placed against the wall as shown in the figure. If coefficient of friction $\mu$ is the same for both the walls, what is the minimum value of $\mu$ for it not to slip?