## anonymous 5 years ago A 0.40 kg rope is stretched between two supports 4.8 m apart. When one support is struck by a hammer, a transverse wave travels down the rope and reaches the other support in 0.85 s. What is the tension in the rope?

1. anonymous

What you need to do is to draw a free-body diagram first...Hmmm...I had my mechanics two semesters ago and I kinda need to refresh on this one first... ^_^

2. anonymous

The wave velocity(v) and the Tension(T) in the rope for transverse waves are related as $v=\sqrt{\frac{T}{\mu}}$. For more on how you get it refer http://www.yosunism.com/undergradphysics/transversewaves.pdf Here $$v=\frac{4.8}{0.85}=5.64ms^{-1}$$ and $$\mu =\frac{0.40}{4.8}=0.08 kgm^{-1}$$ Plugging these in will give you $$T=\mu v^2 =2.66N$$