A particle is projected with velocity $$10m/s$$ making an angle α with horizontal, when the particle is at the highest position of its trajectory, its angular momentum about the point of projection is ‘L’. If the particle is projected with velocity $$20m/s$$ at an angle α with horizontal, its angular momentum about the point of projection is

Question

A particle is projected with velocity $$10m/s$$ making an angle α with horizontal, when the particle is at the highest position of its trajectory, its angular momentum about the point of projection is ‘L’. If the particle is projected with velocity $$20m/s$$ at an angle α with horizontal, its angular momentum about the point of projection is

Infinity Learn · Accepted Answer

$$L=mu3$$ $$cos$$α.$$sin2$$α$$2g$$⇒L∝$$u3$$∴L'$$L=20103$$⇒L'$$=8L$$

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