classical mechanics - Is there a rotational equivalent to newtons laws?

Newtons three laws of motion appears to apply only for linear motion:

1. 
   

   An object remains at rest or moves in a straight line at uniform velocity unless a force is applied.

   
   


2. 
   
   

   Force is mass times acceleration.

   
   


3. 
   

   Every action causes an equal and opposite reaction.

   
   

Is there a rotational equivalence? For example:

1'. Every body rotates around a fixed axis at uniform angular velocity unless a torque is applied

2'. Torque is Moment of Inertia times angular acceleration

3'. When one body exerts a torque on another; there is an equal and opposite torque applied on the first body by the second.

First are these actually correct; if not, what are the correct equivalence; and who formulated them?

Answer

There is a rotational equivalence, but it is not what you stated. The problem, as pointed out by @curiousOne, is that conservation of angular momentum does NOT imply rotation about the same (fixed) axis. But I think a simple restatement like this could work:

• if no torque acts on a body, its angular momentum will remain unchanged


• rate of change of angular momentum is proportional to applied net torque


• when two bodies interact, the torque that A applies to B is equal and opposite to the torque that B applies to A, so that the angular momentum of the combined system (A+B) is preserved.

I believe that addresses the objections raised to your earlier version. Note that "axis of rotation is unchanged" is fundamentally different from "angular momentum is unchanged".