An old tire of mass 20 kg lies on a frozen lake. Three forces are applied to the

Question

An old tire of mass 20 kg lies on a frozen lake. Three forces are applied to the tire, F1 = 200 N acts ?=30 degreesnorth of east, F2 acts on ?2=20 degrees south of west and F3 acts to the south. (a) If the system remains stationary what are the magnitudes of F2 and F3? (b) If the system has an acceleration of 3.4 m/s2 in the positive x direction, what are the magnitudes of F2 and F3? Assume that friction is negligible.
An old tire of mass 20 kg lies on a frozen lake. Three forces are applied to the tire, F1 = 200 N acts ?=30 degreesnorth of east, F2 acts on ?2=20 degrees south of west and F3 acts to the south. (a) If the system remains stationary what are the magnitudes of F2 and F3? (b) If the system has an acceleration of 3.4 m/s2 in the positive x direction, what are the magnitudes of F2 and F3? Assume that friction is negligible.

Explanation / Answer

its is frozen lake then it is solid floor

F1 = -173.2 i -100 j

F2 = F2sin20 i + F2 cos20 j

F3= - F3 j

a)

in horizontal direction considering zero net force

then

F2 sin20 =173.2

F2 = 506.40 N magnitude

vertical direction

F3 = 10020 N

b)

F2 sin20 - 173.2 = 3.4*20

F2 = 705.22

F3 = 562.69

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