A rigid body, with three different principal moments (?1,?2,?3) is rotating at t = 0 about one of its principle axes (e3).

(a) Write down Euler’s equations for the body, you can assume zero torque

(b) If ?1 = ?, ?2 = 2? and ?3 = 1/2? is the motion stable under small kicks?

(c) What about if ?1 = ?, ?2 = 1/2? and ?3 = 4? ? Justify your answers in both instances

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p