Three coplanar forces act on a 75000.0 kg object in outer space, where there is no gravity: 14.2 kN directed at 357°, 25.6 kN at 138°, and 16.4 kN at 255°.
What is the magnitude and direction of the acceleration?
What will the objects direction from the origin be and in what direction will it be moving assuming the force was applied at the origin of coordinates? All directions are with respect to the x direction.
Please show all work.
vF1(read as F1 vector) = 14.2 *(i*cos(357) + j*sin(357))
=>vF1 = 14.1805i - 0.7432j
vF2 = 25.6*(i*cos(138) + j*sin(138)) = -19.0245i + 17.1297j
vF3 = 16.4*(i*cos(255) + j*sin(255)) = - 4.2446i -15.8412j
vF = vF1+vF2+vF3= (14.1805-19.0245-4.2446)i +(-0.7432+17.1297-15.8412)j
=> vF = -9.0886i + 0.5453j
Note: the magnitude forces are in kN
The very detailed solution provides explanations, formulas and calculations to arrive at the answers.