For a particle of a mass $$100$$ gm, position and velocity at any instant are given as $$10i^+6j^$$ cm and v→ $$=$$ $$5i^$$ $$cm/s$$. Calculate the angular momentum about the point (1$$, $$1) cm.

Correct option is 125 × 10-5(-k^) kgm2s-1

Questions

For a particle of a mass 100 gm, position and velocity at any instant are given as $10 \hat{i} + 6 \hat{j}$ cm and $\vec{v} = 5 \hat{i}$ cm/s. Calculate the angular momentum about the point (1, 1) cm.

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25 × 10-5(-k^) kgm2s-1

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detailed solution

Correct option is A

The position vector of particle w.r.t. (1,1) is r→=10-1i^+6-1j^ = 9i^+5j^L→ = m(r→ × v→) = 1001000[9i^+5j^100]×5i^100= 25 ×10-5(-k^) kgm2s-1

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For a particle of a mass 100 gm, position and velocity at any instant are given as 10i^+6j^ cm and v→ = 5i^ cm/s. Calculate the angular momentum about the point (1, 1) cm.

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For a particle of a mass 100 gm, position and velocity at any instant are given as $10 \hat{i} + 6 \hat{j}$ cm and $\vec{v} = 5 \hat{i}$ cm/s. Calculate the angular momentum about the point (1, 1) cm.