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Please Explain Three ropes pull on a knot shown in (Figure 1) . The knot is not

ID: 1395639 • Letter: P

Question

Please Explain

Three ropes pull on a knot shown in (Figure 1) . The knot is not accelerating. A partially completed force diagram for the knot is shown in the figure (Figure 2) . Use Newton's second law to determine the magnitudes of the forces that ropes 2 and 3 exert on the knot. Suppose that T1onK = 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

Here net force on Knot is zero.

Fnety = 0

T2*sin(53) - T1 = 0

T2 = T1/sin(53)

= 1000/sin(53)

= 1252.14 N <<<<<<<----------Answer

Fnetx = 0

T2*cos(53) - T3 = 0

T3 = T2*cos(53)

= 1252.14*cos(53)

= 753.55 N <<<<<<<----------Answer