Please write neat if hand written and show formulas. Thank you for your help (nu

Question

Please write neat if hand written and show formulas. Thank you for your help

(numbers 1-2) A total of three forces act on an object, two of which are shown. The object is in equilibrium. 1. What is the magnitude of the third force? a) 5 N b) 10 N c 15 N d) 20N e) none of the above answers are correct 2. How far from point P is the third force applied? c) 1.0 m d) 1.5 m e) more than one of the above answers is possible 3. A uniform 4 m, 40 N horizontal plank is shown with an 60 N weight resting on top, 1.0 m from the right end. The plank is in equilibrium. What is Fi? a) 30 N b) 35 N c) 40 N d) 45 N e) 50 N . m 9 3

Explanation / Answer

1.

F = unknown force

since the object is in equilibrium

Fnet = 0

F + 10 - 20 = 0

F = 10 N

2.

Net torque = 0

F r + 10 (3) - 20 (2) = 0

(10) r - 10 = 0

r = 1 m

3)

using equilibrium of torque about the right end

F1 (4) - 40 (2) - 60 (1) = 0

F1 = 35 N

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