A monkey is decending from the branch of a tree with constant acceleration. If the breaking strength is $75 \%$ of the weight of the monkey, the minimum acceleration with which monkey can slide down without breaking the branch
$\frac{3 g}{4}$
$\frac{g}{4}$
$g$
$\frac{g}{2}$
For frictionless surfaces in given arrangement tension $T_2$ is :-
A wooden block of mass $5 \mathrm{~kg}$ rests on soft horizontal floor. When an iron cylinder of mass $25$ $\mathrm{kg}$ is placed on the top of the block, the floor yields and the block and the cylinder together go down with an acceleration of $0.1 \mathrm{~ms}^{-2}$. The action force of the system on the floor is equal to:
Figure shows two blocks connected by a light inextensible string as shown in figure. A force of $10 \,N$ is applied on the bigger block at $60^{\circ}$ with horizontal, then the tension in the string connecting the two masses is ....... $N$
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 ....... $N$