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0 votes
39.0k views
in Physics by (70.7k points)

To weigh a fish, a person hangs a tackle box of mass 3.5 kilograms and a cooler of mass 5 kilograms from the ends of a uniform rigid pole that is suspended by a rope attached to its center. The system balances when the fish hangs at a point 1/4 of the rod’s length from the tackle box. What is the mass of the fish?

(A) 1.5 kg 

(B) 2 kg 

(C) 3 kg 

(D) 6 kg 

(E) 6.5 kg

1 Answer

+1 vote
by (65.1k points)
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Best answer

Correct option (C) 3kg  

Apply rotational equilibrium using the rope as the pivot point. 

(3.5)(9.8)(L/2) + m(9.8)(L/4) – (5)(9.8)(L/2) = 0  m = 3 kg

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