Review question

# How fast do these connected particles move? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7982

## Question

The diagram shows two particles $A$ and $B$, connected by a light inextensible string which passes over a smooth fixed peg. The system is held with the string taut and with $A$ and $B$ each at a height of $\quantity{0.09}{m}$ above a fixed horizontal plane; it is then released from rest. When $B$ reaches the plane is becomes stationary.

Calculate

1. the tension in the string while both particles are in motion,

2. the speed of the particles when $B$ reaches the plane,

3. the maximum height above the plane attained by $A$, assuming that $A$ does not reach the height of the fixed peg.

[Take $g$ to be $\quantity{10}{m\,s^{-2}}$.]