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A particle is projected at time t=0 from...

A particle is projected at time `t=0` from a point `O` with a speed `u` at an angle `theta` to horizontal. Find the torque of a gravitational force on projectile about the origin at time `t. (x,y` plane is vertical plane)

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`vec(r)=(u cos theta)t hati+((u sin theta)t-1/2"gt"^(2))hatj`
`vec(F)=-(mg)hatj, vec(tau)=vec(r)xxvec(F)`

`vec(tau)=[(u cos theta)t hati+((u sin theta)t-1/2"gt"^(2))hatj]xxmg(-hatj)`
`vec(tau)=(u cos theta)t(mg)(hatixx-hatj)`
`tau=-mg(u cos theta)t(hatk)`
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