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mrs_skeptik [129]
3 years ago
7

A small but dense 2.0-kg stone is attached to one end of a very light rod that is 1.2 m long. The other end of the rod is attach

ed to a frictionless pivot. The rod is raised until it is vertical, with the stone above the pivot. The rod is released and the stone moves in a vertical circle with no air resistance. What is the tension in the rod as the stone moves through the bottom of the circle? (a) 20 N (b) 40 N (c) 60 N (d) 80 N (e) 100 N

Physics
1 answer:
tigry1 [53]3 years ago
8 0

Answer:

Option B is the correct answer.

Explanation:

Refer the figure we have centripetal force at bottom of circle

       F_c=F_t-F_w\\\\\frac{mv^2}{r}=F_t-mg\\\\F_t=m\left ( \frac{v^2}{r}+g\right )

We have mass, m = 2 kg

Radius, r = 1.2 m

For circular motion to occur we have tension at top = 0

That is

        \frac{mv^2}{r}=mg\\\\v=\sqrt{rg}

Now let us find tension at bottom point

       F_t=2\times \left ( \frac{rg}{r}+g\right )=4g=40N

Option B is the correct answer.  

         

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