Question

A chandelier is suspended by two identical, vertical chains side by side. The chandelier's mass is m 5.7 kg. 33%

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? &33%
Part (c) If the tops of the chains are separated so that the chains are no longer vertical, does the tension increase or decrease?

Answer 1

`T=(mg)/(2)`

27.9585 N

Increase

Step-by-step explanation:

m = Mass of chandelier = 5.7 kg

g = Acceleration due to gravity = 9.81 m/s²

Balancing the force in y direction is given by

`\sum F_y=0\\\Rightarrow 2T-mg=0\\\Rightarrow 2T=mg\\\Rightarrow T=(mg)/(2)`

The expression is
`T=(mg)/(2)`

`\\\Rightarrow T=(5.7* 9.81)/(2)\\\Rightarrow T=27.9585\ N`

The tension in the chains is 27.9585 N

If the chains are no longer vertical then there will be angle

`T=(mg)/(2cos\theta)`

when
`\theta>0`

`cos\theta<1`

So, tension will increase.