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Question

A small particle of mass m is projected at an angle θ with the X – caxis with an initial velocity v0 in the X – Y plane as shown in the figure. At a time t=v0sinθg the angular momentum of the particle is


Where, ^i ^j and ^k are unit vectors along X, Y and Z-axis respectively.

A
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C
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D
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Solution

The correct option is D
Angular momentum L=rpWhere,r=v0 cos θt ^i+(v0 sin θt12gt2)^jp=v0[cos θ^i+(v0 sin θgt)]L=rp=12 mg v0t2cos θ^k

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