A mass $A(500 \mathrm{g})$ is placed on a smooth table with a string attached to it. The string goes over a frictionless pulley and is connected to another mass $B ( 200 \mathrm{g})$ hanging vertically. At $t=0$, the mass $A$ is at a distance of $200 \mathrm{cm}$ from the pulley end moving with a speed of $50 {\mathrm{cms}}^{-1}$ towards the opposite end (left). What will be its position and speed at $t=1 \mathrm{s}$?

Two blocks of masses $100 \mathrm{kg}$ and $50 \mathrm{kg}$ are connected by a light string passing over a smooth pulley and rest on two inclined planes as shown in Fig. $7.56$. In which direction would the system move? Find the acceleration of the blocks and the tension in the string.

A roller of mass $500 \mathrm{kg}$ is attached by a light horizontal chain to a tractor of mass $1000 \mathrm{kg}$. The backward force of friction exerted by the ground is $1000 N$. If the system has a forward acceleration of $2.5{ \mathrm{ms}}^{-2}$ calculate

the forward force on the tractor

A roller of mass $500 \mathrm{kg}$ is attached by a light horizontal chain to a tractor of mass $1000 \mathrm{kg}$. The backward force of friction exerted by the ground is $1000 N$. If the system has a forward acceleration of $2.5{ \mathrm{ms}}^{-2}$, calculate the tension in the chain.