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Find the impulse due to the force vecF...

Find the impulse due to the force
`vecF=ahati+bthatj`,where `a =2N` and `b=4Ns^(-1)` if this force acts from `t_(i) =0` to `t_(f) =0.3s` .

Text Solution

Verified by Experts

`J=underset(t_(i))overset(t_(f))intvecFdt =underset(0)overset(0.3)int(ahati+bthatj)dt`
` J=aunderset(0)overset(0.3)intdt hati + bunderset(0)overset(0.3)inttdthatj=a[t]_(0)^(0.3)hati+b[t^(2)/(2)]_(0)^(0.3)hatj`
`= 2xx 0.3 xx hati + 4 xx ((0.3)^(2))/(2) xx hatj=0.6hati+0.18hatjNSec` .
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