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A photo frame weighing 4.16 newtons is hanging by a wire making an angle with the horizontal. The tension experienced by both wires is 3 newtons. What angle is made by both wires with the horizontal?

A. 13.7º

B. 24.3º

C. 43.9º

D. 45.4º

E. 49.2º

A photo frame weighing 4.16 newtons is hanging by a wire making an angle with the-example-1

2 Answers

0 votes

Answer:

C=correct on PLATO

Step-by-step explanation:

User Jerameel Resco
by
4.2k points
3 votes

Answer

Correct answer is C ( 43.9 degrees)

Step-by-step explanation:

In this problem we have given

weight of photo frame=4.16N

Tension=3N

It is clear that the photo frame is stationary, It means the wires will balance the force due to gravity (the weight).

It means the vertical components of the tension in the wires is equal the total weight.

Because the wires are symmetric, therefore weight of photo frame will be shared equally between wires.

It mean weight supported by each wire=4.16/2

=2.08 N

From figure it is clear that

sin(angle) = 2.08 / 3

angle = arcsin(2.08/3)

angle = 43.9 degrees

Hope this answer will help you

User Shubhank
by
5.5k points