UNIT – III
CENTROIDS AND CENTERS OF GRAVITY:
INTRODUCTION – CENTROIDS AND CENTRE OF
GRAVITY OF SIMPLE FIGURES (FROM BASIC
PRINCIPLES ) – CENTROIDS OF COMPOSITE
FIGURES – THEOREM OF PAPPUS – CENTER OF
GRAVITY OF BODIES AND CENTROIDS OF
VOLUMES. MOMENTS OF INERTIA : DEFINITION –
POLAR MOMENT OF INERTIA –RADIUS OF
GYRATION – TRANSFER FORMULA FOR MOMENT OF
INERTIA – MOMENTS OF INERTIA FOR COMPOSITE
AREAS – PRODUCTS OF INERTIA, TRANSFER
FORMULA FOR PRODUCT OF INERTIA. MASS
MOMENT OF INERTIA : MOMENT OF INERTIA OF
MASSES- TRANSFER FORMULA FOR MASS
MOMENTS OF INERTIA – MASS MOMENT OF
INERTIA OF COMPOSITE BODIES.