A picnic basket weighing 100N is hanging from the end of a 3.0mlong beam. The be
ID: 1457383 • Letter: A
Question
A picnic basket weighing 100N is hanging from the end of a 3.0mlong beam. The beam weighs 250 N and is supported by a cable which attaches to the middle of the beam and makes an angle of 30° relative to the perpendicular to the beam. The beam is attached to the wall by a hinge. Suppose a bear weighing 1250N walks out onto the beam. The cable can only withstand a tension of 1800N. How close can the bear get to the basket before the cable snaps? A picnic basket weighing 100N is hanging from the end of a 3.0mlong beam. The beam weighs 250 N and is supported by a cable which attaches to the middle of the beam and makes an angle of 30° relative to the perpendicular to the beam. The beam is attached to the wall by a hinge. Suppose a bear weighing 1250N walks out onto the beam. The cable can only withstand a tension of 1800N. How close can the bear get to the basket before the cable snaps?Explanation / Answer
In equilibrium net torque = 0
let x be the distance of bear from the hinge
T*cos30*L/2 = W1*L + w2*L/2 + W3*x
1800*cos30*3/2 = (100*3) + (250*3/2)+(1250*x)
x = 1.33 m from the hinge
from the picnic basket distnce = 3 - 1.33 = 1.67 m <,------------answer
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