A wedge of height $H$ (fixed) and inclination $\alpha $ (variable) is moving on a smooth horizontal surface with constant acceleration $g\ m/s^2$ . A small block is placed at bottom of incline as shown in figure, slips on the smooth surface of incline . Choose $CORRECT$ statement about time taken by block to reach the top of incline
Time taken increases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
Time taken first increases then decreases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
Time taken first decreases then increases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
Time taken decreases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
Three masses of $16, 8$ and $4\,kg$ are placed in contact as shown in figure. If a force of $140\,N$ is applied on $4\,kg$ mass, then the force on $16\,kg$ will be ............ $ N$
A constant force $F$ is applied in horizontal direction as shown in figure. Contact force between $M$ and $m$ is $N$ and between $m$ and $M'$ is $N'$ then
A block of mass $m$ is placed on a smooth inclined wedge $ABC$ of inclination $\theta$ as shown in the figure. The wedge is given an acceleration $a$ towards the right. The relation between $a$ and $\theta$ for the block to remain stationary on the wedge is
A uniform rope of mass $1.0\, kg$ is connected with a box of mass $2.0\, kg$, which is placed on a smooth horizontal surface. The free end of the rope is pulled horizontally by a force $6\, N$. Find the tension at the midpoint of the rope ....... $N$