Three ropes pull on a knot shown in. The knot is not accelerating. A partially c

Question

Three ropes pull on a knot shown in. The knot is not accelerating. A partially completed force diagram for the knot is shown in the figure. Use Newton's second law to determine the magnitudes of the forces that ropes 2 and 3 exert on the knot. Suppose that ropes 2 and 3 exert on the knot. Suppose that T_1onK = 1000 N. Determine the magnitude of the force that rope 2 exerts on the knot. Express your answer to two significant figures and include the appropriate units. Determine the magnitude of the force that rope 3 exerts on the knot. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Given T1 = 1000 N

Along the vertical direction, force equation is given as

T2 Sin53 = T1

T2 Sin53 = 1000

T2 = 1000/Sin53 = 1252.14 N

Along the horizontal direction , force equation is given as

T2 Cos53 = T3

(1252.14) Cos53 = T3

T3 = 753.56 N

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