- #1

hraghav

- 11

- 1

- Homework Statement
- Three masses are located as follows:

Mass 1 with 𝑚1=5.25×106kg is at 𝑟⃗1=29.9m𝑖̂+17m𝑗̂. Mass 2 with 𝑚2=5.53×106kg is at 𝑟⃗2=40.4m𝑖̂+17m𝑗̂. Mass 3 with 𝑚3=3.2×106kg is at 𝑟⃗3=40.4m𝑖̂+35.4m𝑗̂. What angle does the net force on 𝑚3 make with the positive x-axis 𝑖̂? with the y-axis 𝑗̂?

- Relevant Equations
- I calculated the magnitude of the net force on 𝑚3 due to 𝑚1 and 𝑚2 to be 5.790N.

Fnet on3 = 1.2365i + 5.657j

for the angle with positive x axis I did: component of fnetx = (magnitude of fnet)*costheta

1.23651 = 5.790*costheta

1.23651/5.790 = costheta

theta = 77.668 degrees

for the angle with positive y axis I did: component of fnety = (magnitude of fnet)*costheta

5.657 = 5.790*costheta

5.657/5.790 = costheta

theta = 12.30 degrees

But I am still getting both wrong. My magnitude of the net force is correct. Could someone please help me with this and let me know where am I making an error?

Thank you

1.23651 = 5.790*costheta

1.23651/5.790 = costheta

theta = 77.668 degrees

for the angle with positive y axis I did: component of fnety = (magnitude of fnet)*costheta

5.657 = 5.790*costheta

5.657/5.790 = costheta

theta = 12.30 degrees

But I am still getting both wrong. My magnitude of the net force is correct. Could someone please help me with this and let me know where am I making an error?

Thank you