a) The pendulum consists of a disk having a mass of

5.5kg

and slender rods

AB

and

CD

which have a mass per unit length of

2k(g)/(m)

as shown in Figure Q1(a). Determine;\ i) the length

L

of

AB

so that the centre of mass is at the bearing 0 .\ ii) the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point

O

.\ (CO2/PO2/WK3)[C4](12 marks)\ b) In order to redesign the pendulum and use the result in part (a)(i), determine the new location of the centre of mass of the assembly if;\ i) the mass of the disk is reduced to

5kg

, and the mass of slender rods

AB

and

CD

is reduced to

1.5k(g)/(m)

.\ ii) the length of the slender rod CD is reduced to

1.2m

Briefly explain both results.\ (CO3/PO3/WK3)[C5](8 marks)\ Figure Q1(a)

The pendulum consists of a disk having a mass of 5.5kg and slender rods AB and CD which have a mass per unit length of 2kg/m as shown in Figure Q1(a). Determine; i) the length L of AB so that the centre of mass is at the bearing O. ii) the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O. (CO2/PO2/WK3)[C4](12 marks) In order to redesign the pendulum and use the result in part (a)(i), determine the new location of the centre of mass of the assembly if; i) the mass of the disk is reduced to 5kg, and the mass of slender rods AB and CD is reduced to 1.5kg/m. ii) the length of the slender rod CD is reduced to 1.2m Briefly explain both results. (CO3/PO3/WK3)[C5](8 marks)