A smooth wedge $A$ is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block $B$ placed at the top of the wedge takes a time $T$ to slide down the length of the wedge. If the block is placed at the top of the wedge and the cable supporting the chamber is broken at the same instant, the block will

The figure given below shows an uniform rod of mass $3 \mathrm{kg}$ and of length $30 \mathrm{cm}$. The strings shown in the figure are pulled by constant forces of $20 \mathrm{N}$ and $32 \mathrm{N}$. The acceleration of the rod is

Two masses of $5 \mathrm{kg}$ and $10 \mathrm{kg}$ are connected to a pulley as shown in the figure. What will be the acceleration if the pulley is set free? ($g=$ acceleration due to gravity) (Assume that the pulley is an ideal and ideal string as well)

As shown in the following mass pulley system, pulleys and strings are massless. One end of the string is pulled by force $F=2mg$. The acceleration of the block will be

Three masses of $1 \mathrm{kg}, 6 \mathrm{kg}$ and $3 \mathrm{kg}$ are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving? Take $g=10 \mathrm{m} {\mathrm{s}}^{–2}$.

Same spring is attached with $2 \mathrm{kg},3 \mathrm{kg}$ and $1 \mathrm{kg}$ blocks in three different cases as shown in figure. If $x_1,x_2$ and $x_3$ be the extensions in the spring in these cases then (Assume all the blocks to move with uniform acceleration)

In the given figure, inclined surface and pulleys are smooth. Strings and pulleys are massless. Acceleration of mass $m$ is

One end of the massless rope which passes over a massless and frictionless pulley $P$ is tied to a hook $C$ while the other end is free. The maximum tension that the rope can bear is $360 \mathrm{N}$. With what value of minimum safe acceleration $\left(\mathrm{in} \mathrm{m} {\mathrm{s}}^{-2}\right)$ can a man of $60 \mathrm{kg}$ climb down the rope? (Assume acceleration due to gravity $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.)