
The cylinder of mass
20 kg is released from rest at
h = 0. What is its speed at h = 5 m, when the springs A and B, each have
an unstretched length of 3 m and 3 m respectively, while the spring C
has an unstretched length of 4 m ? Also calculate the maximum distance
travelled by the mass.


Potential Energy
Datum is set at the position when cylinder is at
h = 0 m.When the cylinder moves to h = 5 m, its gravitational potential
energy at this position is given b as equal to 20(9.81)(5) = 981 J.
The initial and final elastic potential energy are V1and V2 respectively,
V1 = 0,
V2 =2[0.5(50)(sqrt(3 2+5 2)3) 2] + 0.5(40)(94) 2
= 900.71 J.
Conservation of Energy 
T1 + V 1 = T2 + V2 ;
0 + 0 = 0.5(20)V2 +
900.71 +( 981)
V = 2.833 m/s2
The
