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corrected_problems

corrected_problems - r F1 y r F3 r F2 30o 60o x Define x...

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1 Question 1A: An object on a horizontal table is acted on by three forces, r F N 1 4 = , r F N 2 3 = and r F N 3 5 = , as shown below. What is the net force acting on the object? 30 o 60 o r F 3 r F 1 r F 2 Define x and y axes. Then, the net force in the x direction is F F x xi i = and the net force in the y direction is F F y yi i = . = + F F F F x 1 2 3 30 60 cos cos o o = + = 3 46 1 50 5 00 0 04 . . . . N , and F F F y = + 1 2 30 60 sin sin o o = = 2 00 2 60 0 60 . . . N . Thus, the net force is r F i j N R = ( . ˆ . ˆ ) 0 04 0 60 , with magnitude r F F F R x y = + ( ) ( ) 2 2 = + = ( . ) ( . ) . 0 04 0 60 0 601 2 2 N . The angle θ = = = tan tan ( ) . 1 1 15 86 2 F F y x o . F i x ˆ F j y ˆ θ r F R 30 o 60 o r F 3 r F 1 r F 2 y x
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2 Question 1B: An object on a horizontal table is acted on by three forces, r F N 1 4 = , r F N 2 3 = and r F N 3 5 = , as shown below. If the mass of the object is 2.0kg, what is it’s acceleration? 30 o 60 o r F 3 r F 1 r F 2 From before (question 1A) we found the resultant force:
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