A chandelier is suspended by two identical, vertical chains side by side. The chandelier's mass is m = 6.5 kg. Part (a) If the tension in one chain is represented by T, write an expression for the magnitude of the tension in terms of m and g, the gravitational acceleration on the Earth's surface. Part (b) What is the tension in one chain, T, in newtons? Part (c) If the tops of the chains are separated so that the chains are no longer vertical, does the tension increase or decrease?

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Answer:

a)T= mg/2

b) T = 31. 88 N

c)Tension will increase

Explanation:

Given that m= 6.5 Kg

a)

The force due to gravity = m g

The tension in the chain = T

The total tension = 2 T

By balancing force in vertical direction

2 T = m g

T= mg/2

b)

2 T = m g

2 x T = 6.5 x 9.81

T = 31. 88 N

c)

Lets take angle made by chain is θ

So the total tension in vertical direction = 2 T cos θ

2 T cos θ = m g

T= mg/(2cos θ)

It means that tension will increase because cos θ is always less than 1.

Ver imagen Netta00

The force on the rope in which one ends is tied with the heavy ball. The force on the rope is stated as tension.

The correct answer to the question is to increase. The formula we will use is  [tex]T= \frac{mg}{2}[/tex] and Tension will be = 31. 88 N

The tension depends on the following.

  • Strenght
  • Weight

The Data given is as follows m= 6.5 Kg

Hence, the answer to the first question is:-

  • The force due to gravity = [tex]mg[/tex]
  • The tension in the chain = T
  • The total tension = 2 T

By balancing force in a vertical direction we will get.

[tex]2 T = m g\\\\T= \frac{mg}{2}[/tex]

The answer to the second question after solving it

[tex]2*T = 6.5* 9.81T = 31. 88 N[/tex]

The answer to the third question is:-

[tex]total tension in vertical direction = 2TcosQ2 TcosQ = mg\\\\\\T= \frac{mg}{2CosQ}[/tex]

It means that tension will increase.

For more information, refer to the link:-

https://brainly.com/question/15804584

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