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Question

Four parrots are pulled on a frictionless surface using a cord. The tension in two of the cords are T2=111N, T4=222N and the mass of the 3 parrots are given as, M1=12 KG, M3=15kg, M4=20kg. Find the mass of 2nd parrots.


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Solution

Step 1: Given data

The tension of two of the cords, T2=111N, T4=222N

Mass of three parrots, M1=12Kg,M3=15Kg,M4=20Kg

Demonstrating with the help of diagram

Step 2: Calculating the mass of 2nd parrot.

Let M2 be the mass of the unknown parrot.

T2=(M1+M2)×a111N=(12kg+M2)×a.......equation(i)

Tension for the whole system of parrots

T2=(M1+M2+M3+M4)×a222N=(12kg+M2+15kg+20kg)×a..........equation(ii)

Dividing both the equations, we get

222111=47+M212+M2M2=23kg

Therefore, the mass of 2nd parrot is 23kg.


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