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Suppose that a rigid body is free to rotate about a fixed point O. If a force →F acts on the body at a point P, then the body will tend to rotate about an axis through O. This effect is measured by the torque vector t which is given by →t=→r×→F. Where →r is the position vector −−→OP. The straight line through O determined by →t is the axis of rotation. The vector →r,→F and →T form a right handed system.The magnitude of the torque (in units) exerted at origin by the force →F=^i+2^j+^k at the point (1,1,1) is |
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Answer» Suppose that a rigid body is free to rotate about a fixed point O. If a force →F acts on the body at a point P, then the body will tend to rotate about an axis through O. This effect is measured by the torque vector t which is given by →t=→r×→F. Where →r is the position vector −−→OP. The straight line through O determined by →t is the axis of rotation. The vector →r,→F and →T form a right handed system. |
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