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The T1= 25.5N You hang a light in front of your house using an elaborate system

ID: 1419432 • Letter: T

Question

The T1= 25.5N

You hang a light in front of your house using an elaborate system to keep the 2.5-kg light in static equilibrium (Figure 1) What are the magnitudes of the forces that the ropes must exert on the knot connecting the three ropes if theta_2 = 37degree and theta_3 = 0degree? Determine the force that rope 2 must exert on the knot. Express your answer to two significant figures and include the appropriate units. Determine the force that rope 3 must exert on the knot. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

b.

If we equate the component of T2

T2 xsin 37=T1

so,

T2=25.5/sin 37

= 42.37 N

c.)

T3= T2 x cos 37

=33.84 N

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