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Motion in A Plane

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Physics Part I

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Physics

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If bold F with bold rightwards arrow on top is the force acting on a particle having position vector straight r with rightwards arrow on top space a n d space tau with rightwards arrow on top be the the torque of this force about the origin, then

  • straight r with rightwards arrow on top. straight tau with rightwards arrow on top space not equal to space 0 space and space bold F with bold rightwards arrow on top space. space straight tau with rightwards arrow on top space equals space 0
  • straight r with rightwards arrow on top. straight tau with rightwards arrow on top space greater than space space 0 space and space bold F with bold rightwards arrow on top space. space straight tau with rightwards arrow on top space less than space 0
  • straight r with rightwards arrow on top. straight tau with rightwards arrow on top space equals space space 0 space and space bold F with bold rightwards arrow on top space. space straight tau with rightwards arrow on top space equals space 0
  • straight r with rightwards arrow on top. straight tau with rightwards arrow on top space equals space space 0 space and space bold F with bold rightwards arrow on top space. space straight tau with rightwards arrow on top space not equal to space 0

C.

straight r with rightwards arrow on top. straight tau with rightwards arrow on top space equals space space 0 space and space bold F with bold rightwards arrow on top space. space straight tau with rightwards arrow on top space equals space 0

Torque is an axial vector ie, its direction is always perpendicular to the plane containing vectors  straight r with rightwards arrow on top space a n d space F with rightwards arrow on top
stack straight tau space equals with rightwards arrow on top space bold r with bold rightwards arrow on top bold space bold x bold space bold F with bold rightwards arrow on top

bold space Torque space is space perpendicular space to space both space bold r with bold rightwards arrow on top space and space bold F with bold rightwards arrow on top
therefore comma
straight tau with rightwards arrow on top. bold r with bold rightwards arrow on top space equals space 0
stack straight F. space with rightwards arrow on top straight tau with rightwards arrow on top space equals space 0

Torque is an axial vector ie, its direction is always perpendicular to the plane containing vectors  straight r with rightwards arrow on top space a n d space F with rightwards arrow on top
stack straight tau space equals with rightwards arrow on top space bold r with bold rightwards arrow on top bold space bold x bold space bold F with bold rightwards arrow on top

bold space Torque space is space perpendicular space to space both space bold r with bold rightwards arrow on top space and space bold F with bold rightwards arrow on top
therefore comma
straight tau with rightwards arrow on top. bold r with bold rightwards arrow on top space equals space 0
stack straight F. space with rightwards arrow on top straight tau with rightwards arrow on top space equals space 0

327 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors. 


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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views