A small particle of mass m is projected at an angle \theta with the x-axis with an initial velocity v_0 in the x-y plane as shown in the figure. At a time t< \frac{v_0 \sin \theta}{g}, the angular momentum of the particle is where \hat{i}, \hat{j} and \hat{k} are unit vectors along x, y and z-axis respectively. [AIEEE 2010]

Correct Answer is : −12mgv0t2cosθ∧k

-m g v_0 t^2 \cos \theta \hat{j}

-\frac{1}{2} m g v_0 t^2 \cos \theta \hat{k}

\frac{1}{2} m g v_0 t^2 \cos \theta \hat{i}

AIEEE 2010 Solved Paper

Section: Physics

Question : 59 of 89

Marks: +1, -0

A small particle of mass m is projected at an angle θ with the x-axis with an initial velocity v0 in the x−y plane as shown in the figure. At a time t<‌

v0sin‌θ

, the angular momentum of the particle is

where

∧

and

∧

are unit vectors along x,y and z-axis respectively.

[AIEEE 2010]

−mgv0t2‌cos‌θ‌
∧
j
mgv0t‌cos‌θ‌
∧
k
−‌
1
2
mgv0t2‌cos‌θ‌
∧
k
‌
1
2
mgv0t2‌cos‌θ‌
∧
i

Validate

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