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i. An object is acted on by 3 forces. it is observed to be moving at the velocit

ID: 778397 • Letter: I

Question


i. An object is acted on by 3 forces. it is observed to be moving at the velocity The following is known about the forces: -3.3mlsoso F, 30N at an angle of S0" above the positive x a F, is at angle of 25" below the positive x axis F, is in the negative x direction What are the magnitudes and directions of F, and F, Partial credit will be given for the correct answers belovw ) In component form il) In component form (with an unknown) ) In component form (with an unknown) v) Now using Newton's 2 law for y-direction we find F Now using trig and Newton's 2nd law for x-direction we can find F lison is pushing a box to the right on a horizontal floor. agnitude of the force of friction between the box and the floor is 60 N. oulls up and to the right with a force of 150 N at an angle of 35° to the floor. slides to the right at 2 m/s' without moving up or down. is horizontal and positive toward the right. The y axis is vertical and positive toward th weight of the box?- will be given for the correct answers below: form applied rm m (with an unknown) Ft ner 2nd law for x-direction we find: box is:

Explanation / Answer

Velocity is constant. So the summation of all the forces is zero.

Along y:

F1sin30 – F2 sin25 = 0

=> F2 = F1sin30/sin25 = 35.49N


Along x:

F1cos30 + F2cos25 – F3 = 0

=> F3 = F1cos30 + F2cos25 = 58.15 N

i) F1x = F1cos 30 = 25.98N

F1y = F1sin30 = 15N

ii) F2x = F2cos25 = 32.16N

F2y = -F2sin25 = -15N

iii) F3x = -F3 = -58.15N

F3y = 0N