A-50-kg-log-rest-on-the-smooth-horizontal-surface-A-motor-deliver-a-towing-force-T-as-shown-below-The-momentum-of-the-particle-at-t-5-s-is-

Question Number 20986 by Tinkutara last updated on 09/Sep/17

A 50 kg \log rest on the smooth horizontal

surface . A motor deliver a towing force

T as shown below . The momentum of

the particle at t = 5 s is

Commented by Tinkutara last updated on 09/Sep/17

Answered by dioph last updated on 09/Sep/17

P (t) = \int T (t) d t

P (5) = \int_{0}^{4} 40 t^{2} d t + \int_{4}^{5} 640 d t

P (5) = \frac{40}{3} t^{3} ∣_{0}^{4} + 640 t ∣_{4}^{5}

P (5) = \frac{40 \times 64}{3} + 640 \times 1

P (5) ≅ 1493.33 kg m / s

Commented by Tinkutara last updated on 10/Sep/17

Thank you very much Sir!