3. Moment of Inertia
• Angular analogue of mass.
• Formula --- I = mk2
• Units of moment of inertia consist of mass
multiplied by units of length squared ( kg•m2)
4. Angular Momentum
• For linear motion: M = mv
= I ω
L = mk2
• Factors that affect a angular momentum
– Mass (m), distribution of mass with respect to the
axis or rotation (k) , angular velocity of the body
()
5. Angular Analogues of Newton’s Laws
of Motion
Newton’s First Law:
• A rotating body will maintain a state of
constant rotational motion unless acted on by
an external torque.
6. Newton’s Second Law:
• A net torque produces angular acceleration of
a body that is directly proportional to the
magnitude of the torque, in the same
direction as the torque, and inversely
proportional to the body’s moment of inertia.
7. Newton’s Third Law:
• For every torque exerted by one body on
another, there is an equal and opposite torque
exerted by the second body on the first.
8. Centripetal Force
centripetal force is defined as a force which
keeps a body moving with a uniform speed
along a circular path and is directed along the
radius towards the centre.
• Fc = m ac
• Fc = mv2 / r
• Fc = mr 2