Answer to Question #149424 in Mechanical Engineering for Smith

Question #149424
Some forces act on an object with a mass of 20 kg, as shown in the figure below.
Determine the object’s acceleration.
1
Expert's answer
2020-12-08T02:41:52-0500

"Fb = 2 j N"

"Fa = Fa cos\\theta - Fb sin\\theta = 3 x cos30 i - 3 x sin30 j = 2.59 i - 1.5 j"

"Fnet = Fa + Fb = 2 j + 2.59 i - 1.5 j = 2.59 i + 0.5 j"

"Fnet = sqrt [ 2.59 x 2.59 + 0.5 x 0.5 ] = 2.64 N"

"Fnet = ma = 2.64 N"

"a = 2.64\/m = 2.64\/2 = 1.32 m\/s^2"

"Hence, a = 1.32 m\/s^2"


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