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

Answer:

$T=\dfrac{mg}{2}$

27.9585 N

Increase

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

$\sum F_y=0\\\Rightarrow 2T-mg=0\\\Rightarrow 2T=mg\\\Rightarrow T=\dfrac{mg}{2}$

The expression is $T=\dfrac{mg}{2}$

$\\\Rightarrow T=\dfrac{5.7\times 9.81}{2}\\\Rightarrow T=27.9585\ N$

The tension in the chains is 27.9585 N

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

$T=\dfrac{mg}{2cos\theta}$

when $\theta>0$

$cos\theta<1$

So, tension will increase.