τ =dτ #160;a t L=angular momentum #160; τ =m(r̅×v̅) τ =ddtm(r̅×v̅) τ = r̅×ddt(mv̅) mv̅=P̅= liner #160; momentum #160; τ =r̅ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Fundamental and Derived Units

Prove : r⃗×...

Question

Prove : $\to r \times \to F = \to τ$

Open in App

Solution

$τ = \frac{d τ}{a t}$
L=angular momentum
$τ = m (¯ r \times ¯ v)$
$τ = \frac{d}{d t} m (¯ r \times ¯ v)$
$τ = ¯ r \times \frac{d}{d t} (m ¯ v)$
$m ¯ v = ¯ P =$ liner momentum
$τ = ¯ r \times ¯ F$

Suggest Corrections

Similar questions

(\to τ = \to r \times \to F)

\to F = - 3^j + 5^k

\to r = 7^i + 3^j +^k

\to F = (\begin{matrix} - 3^i +^j + 5^k \end{matrix}) N

(7, 3, 1)

(\to τ = \to r \times \to F)

\to F

\to r

\to τ

\to F

\to r

\to τ

m = 6 k g

\to r = [(3 t^{2} - 6 t)^i + (- 4 t^{3})^j] m

(\begin{matrix} \to F = m \to a \end{matrix})

(\begin{matrix} \to τ = \to r \times \to F \end{matrix})

(\begin{matrix} \to p = m \to v \end{matrix})

(\begin{matrix} \to L = \to r \times \to p \end{matrix})

Join BYJU'S Learning Program