Mathematics, 26.03.2020 01:56, Kimberlytdb
The 6-lb particle is subjected to the action of its weight and forces F1 = 52i + 6j - 2tk6 lb, F2 = 5t 2 i - 4tj - 1k6 lb, and F3 = 5 -2ti6 lb, where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest.
Answers: 2
![a(t)=\frac{1}{m}F(t)\\\\v(t)=\int a(t)dt=\frac{1}{m}\int{F_{T}}dt\\\\v(t)=\frac{1}{m}[(57t-t^{2}+\frac{5}{3}t^{3})\hat{i}+(12t-2t^{2})\hat{j}+(-t^{2}-t)\hat{k}]\\\\r(t)=\int v(t)dt=\frac{1}{m}[(\frac{57}{2}t^{2}-\frac{1}{3}t^{3}}+\frac{5}{4}t^{4})\hat{i}+(6t^{2}-\frac{2}{3}t^{3})\hat{j}+(-\frac{1}{3}t^{3}-\frac{1}{2}t^{2})]](/tpl/images/0564/4669/a0142.png)
![r(2)=\frac{1}{m}[\frac{394}{3}\hat{i}+\frac{56}{3}\hat{j}-\frac{14}{3}\hat{k}]\\|r(2)|=\frac{1}{m}\sqrt{[(\frac{394}{3})^{2}+(\frac{56}{3})^{2}+(\frac{14}{3})^{2}]}\\|r(2)|=\frac{132.73}{0.45}=294.9m](/tpl/images/0564/4669/63d7a.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 15:00, Lizzyloves8910
Answer this question! 30 points and brainliest!
Answers: 1
Mathematics, 21.06.2019 16:40, madisongibson62
What is the distance between the points (2 -3) and (-6 4) on the coordinate plane
Answers: 1
Mathematics, 22.06.2019 01:00, NNopeNNopeNNope
Bc and bd are opposite rays. all of the following are true except a)a, b,c, d are collinear b)a, b,c, d are coplanar c)bc=bd d)b is between c and d
Answers: 1
Do you know the correct answer?
The 6-lb particle is subjected to the action of its weight and forces F1 = 52i + 6j - 2tk6 lb, F2 =...
Questions in other subjects:
Biology, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Physics, 18.10.2020 07:01
English, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
