Question

explain how torque can be expressed as a vector product of 2 vectors.give its special cases when theta = 00, theta = 900​

Answer 1

Answer:

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Answer 2

To find:

How torque can be expressed as a vector product of 2 vectors and it's special cases when the angle between the vectors is

• 0°
• 90°

Solution:

Torque in simple terms, is the rotational analogue for force. Scientifically , it is defined as the the moment of force with respect to a particular reference.

Let the vectors be :

• Force vector (F)

• Position vector (r)

So, torque can be represented as :

$\boxed{ \large{ \sf{ \vec{\tau} = \vec{r} \times \vec{F}}}}$

$\boxed{ \large{ \sf{ | \vec{\tau} | = r\times F \times \sin( \theta) }}}$

Here, $\theta$ is the angle between the sports vector and the position vector.

Now , special cases:

When angle is 0°:

$\large{ \sf{ | \vec{\tau} | = r\times F \times \sin( {0}^{ \circ} ) }}$

$= > \large{ \sf{ | \vec{\tau} | =0}}$

When angle is 90°:

$\large{ \sf{ | \vec{\tau} | = r\times F \times \sin( {90}^{ \circ} ) }}$

$= > \large{ \sf{ | \vec{\tau} | =Fr}}$

Hope It Helps.