What is necessary for an object to be in complete rotational and translational equilibrium?

Answer 1

When the vector sum of all the forces acting on a body of mass is zero, the body has zero acceleration (that is, the body's centre of mass moves with constant velocity).

In a similar fashion, if the net torque on a body is zero, the body has zero angular acceleration (that is, the body's angular velocity remains constant). This is the condition for rotational equilibrium.

Answer 2

sum of clockwise torque= sum of anti clockwise torque. IN otherwords sum of all torque is equal to zero. if a body is at rest(not rotating) or moving with constant angular velacity.then angular accerlation is zero. as a result torque is zero.

torque=moment of inertia * angular accerlation

constant angular velocity. angular accerlation is =0

torque =0

Answer 3

Two conditions must be fulfilled for an object to be in equilibrium.

1) The sum of all forces on the object must be zero.

2) The sum of all torques on the object must be zero.

Note that these are vector equations. If you want separate equations for each component, you get 3 equations in a plane, or 6 equations in 3-dimensional space.

Answer 4

An insulated environment, like the inside of a cooler.