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Impulse

The question is: At time t seconds, a variable force F N is given by

F=i-6t^2j+2tk. Find the impulse "IN" if the force acts between times t=1 and t=3.

I have got integral of |F| the magnitude of F at time t with respect to dt. Is this how its supposed to be? since i wasn't expecting such hard integral for this question...
Original post by Merdan
The question is: At time t seconds, a variable force F N is given by

F=i-6t^2j+2tk. Find the impulse "IN" if the force acts between times t=1 and t=3.

I have got integral of |F| the magnitude of F at time t with respect to dt. Is this how its supposed to be? since i wasn't expecting such hard integral for this question...


You can integrate components individually between t=1t=1 and t=3t=3 which should give you an impulse vector, then take the magnitude of that.
Original post by Merdan
The question is: At time t seconds, a variable force F N is given by

F=i-6t^2j+2tk. Find the impulse "IN" if the force acts between times t=1 and t=3.

I have got integral of |F| the magnitude of F at time t with respect to dt. Is this how its supposed to be? since i wasn't expecting such hard integral for this question...


You need the method RDKGames suggested.

Your method would not produce the desired result. E.g. Suppose we have 1 second of F=i, then one second of F= -i. Impulse would be zero, but by your method it would be 2.

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