After a skiing accident your leg is in a cast and suported ina traction device.

Question

After a skiing accident your leg is in a cast and suported ina traction device. Find the magnitude of the force exerted by theleg on the small pulley (By newton's 3rd law the small pulleyexerts an equal and opposite force on the leg) Let the mass mbe 2.50 kg. The picutre shows the leg and T1 and T2 separated by anangle of 60 degress with T1 rope being tied to the ceiling and T2rope being connected to a pulley and an additional mass whichweighs 2.50 kg After a skiing accident your leg is in a cast and suported ina traction device. Find the magnitude of the force exerted by theleg on the small pulley (By newton's 3rd law the small pulleyexerts an equal and opposite force on the leg) Let the mass mbe 2.50 kg. The picutre shows the leg and T1 and T2 separated by anangle of 60 degress with T1 rope being tied to the ceiling and T2rope being connected to a pulley and an additional mass whichweighs 2.50 kg

Explanation / Answer

the rope tension equals the force needed to support theweight T1 = T2 = mg = (2.50kg)(9.81m/s2) = 24.525N F = T1 cos300 +T2cos300 = 2(24.525N) cos30 = 42.5N

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