Explain Torque in vector from.

1.	Explain Torque in vector from.
Answer» Solution :(i) The torque of a FORCE about an AXIS is independent of the choice of the ORIGIN as long as it is chosen on that axis itself. (ii) Let O be the origin on the axis AB, wich is the rotational axis of a rigid body. F is the force acting at the POINT P. Now, choose another point O' anywhere on the axis. (iii) The torque of F about O' is `bar(O'P) xx vec(F) = (bar(O'O) + bar(OP)) xx vec(F)` `= (bar(O'O) xx vec(F)) + (bar(OP) xx vec(F))` (iv) As `bar(O'O) xx vec(F)` is PERPENDICULAR to `bar(O'O)`, this term will not have a component along AB. Thus, the component of `bar(O'P) xx vec(F)` is equal to that of `bar(OP) xx vec(F)`

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