First slide

Torque

Question

A particle is projected with some velocity at an acute angle to the horizontal. The graph between its angular momentum about the point of projection and time during flight is a :

Easy

A

straight line parallel to time axis
B

straight line inclined to the time axis
C

straight line perpendicular to time axis
D

parabola

Solution

$\begin{array}{l} τ = \frac{dL}{dt} \\ \Rightarrow L = \int τdt = \int_{0}^{t} mg (ucos θ) tdt = (\frac{mgucos θ}{2}) t^{2} \end{array}$
parabola

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