Year: 2000
Paper: 2
Question Number: 10
Course: LFM Pure and Mechanics
Section: Pulley systems
No solution available for this problem.
Difficulty Rating: 1600.0
Difficulty Comparisons: 0
Banger Rating: 1500.0
Banger Comparisons: 0
A long light
inextensible string passes over a fixed smooth light pulley.
A particle of mass 4~kg is attached to one end $A$ of this string
and the
other end is attached to a second smooth light pulley.
A long light inextensible string $BC$ passes over the second pulley
and has a particle
of mass 2 kg attached at $B$ and a particle of
mass of 1 kg attached at $C$. The
system is held in equilibrium in a vertical plane.
The string $BC$ is then released from rest.
Find the accelerations of the two moving particles.
After $T$ seconds, the end $A$ is released so that all three particles
are now moving in a vertical plane.
Find the accelerations of $A$, $B$ and $C$ in this second phase of
the motion.
Find also, in terms of $g$ and $T$, the speed of $A$ when $B$ has
moved through a total distance of $0.6gT^{2}$~metres.