Moderate

The vector product of moment arm ř and force F^ is called torque.The direction of torque is

Correct answer: D. Perpendicular to the plane containing r and F

  • A. Along the force F
  • B. Along the moment arm r
  • C. Parallel to the plane containing r and F
  • D. Perpendicular to the plane containing r and F

Explanation

* Torque (τ) is the vector product (or cross product) of the moment arm (r) and the force (F), represented as τ = r × F.* The direction of a vector product is always perpendicular to the plane formed by the two vectors being multiplied. In this case, the torque vector is perpendicular to the plane containing both the moment arm vector (r) and the force vector (F).

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About Vector Product

The vector product, or cross product, gives a vector perpendicular to two multiplying vectors, with magnitude AB sin θ and direction set by the right-hand rule. It covers properties such as anti-commutation, area from cross products, torque and angular momentum. Unlike the dot product, its result is a vector.

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