Two artifacts in a museum display are hung from vertical walls by very light wir

Question

Two artifacts in a museum display are hung from vertical walls by very light wires, as shown in the figure.(Figure 1)

Part A

Find the tension in the horizontal wire if w = 171 N and m = 28.0 kg .

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Part B

Find the tension in the inclined wire.

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Part C

Find the tension in the vertical wire.

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Part D

Would the answers be different if each wire were twice as long, but the angles were unchanged?

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Figure 1 of 1

Two artifacts in a museum display are hung from vertical walls by very light wires, as shown in the figure.(Figure 1)

Part A

Find the tension in the horizontal wire if w = 171 N and m = 28.0 kg .

T1 =   N  

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Part B

Find the tension in the inclined wire.

T2 =   N  

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Part C

Find the tension in the vertical wire.

T3 =   N  

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Part D

Would the answers be different if each wire were twice as long, but the angles were unchanged?

Would the answers be different if each wire were twice as long, but the angles were unchanged? yes no

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Figure 1 of 1

Explanation / Answer

here,

w = 171 N

m = 28 kg

let the tension in horizontal wire and the inclined wire be T1 and T2

and tension in vertical wire be T3

T3 = m*g

T3 = 28*9.8

T3 = 274.4 N

equating the forces horizontally

T1 - T2*sin(53) = 0 ...(1)

equating the forces vertically

T2*cos(53) - w - T3 = 0

T2*0.6018 - 171 - 274.4 = 0

T2 = 740.11 N

putting T2 in equation (1)

T1 - 740.11 * sin(53) = 0

T1 = 591.08 N

the tension T1 = 591.08 N

the tension T2 is 740.11 N

the tension T3 is 274.4 N

part d)

No , the answer is not different ,

the answers does not depend on the length of wires

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