Can you calculate the torque acting on a rigid body without specifying a centre of rotation ?

The torque acting on a body is the rotational, analogue of

Calculate the total torque acting on the body shown in figure about the point O.

If a constant torque acts on a body, the body?

What is the torque acting on a body moving with constant angular velocity ?

What is the torque acting on a body moving with constant angular velocity ?

Assertion: The motion of a ceiling fan is rotational only. Reason: The motion of a rigid body which is pivoted fixed of rotation.

Show that the torque acting on a body is equal to the product of moment of inertia and the angular acceleration of the body.

If the resultant torque of all the forces acting on a body is zero about a point is it necessary that it will be zero about any other point?

S_(1) : Net torque on a system due to all internal force about any point is zero. S_(2) : For rigid body undergoing fixed axis rotation, the direction of its angular acceleration and angular velocity S_(3) : if net torque on a rigid body about its centre of mass is zero, the angular speed of the rigid body is always zero. S_(4) : For a rigid body undergoing fixed axis rotation abouts its centre of mass, then net torque on rigid body about any point is same.

the variaton of angular postion theta of a point on a rotating rigid body with time t is shown in figure Is the body rotating clokwise or anti- clokwise ?