Question

In: Physics

A spherical rock (R= 19 cm, p=3350 kg/m^3) is attached to the end of a copper...

A spherical rock (R= 19 cm, p=3350 kg/m^3) is attached to the end of a copper wire (diameter 3 mm, effective length of 1.21 m) and then revolved in a circular path in a vertical plane with a period of 0.97 s. Determine the maximum and the minimum length of the copper wire. (You may assume the path remains circular and the motion is uniform).

Expert Solution

Density of rock

Radius of rock

Length of copper wire

Radius of copper wire

Young's modulus of copper wire

Time taken for the rock to complete one revolution is

Speed of rock in the circle is

Mass of rock is

, ( is the tension in the copper wire)

At the bottom of circle ,

Net force acting on the rock is

( is the distance from the center of circle to center of rock)

tension in the wire is

-----------------

At the top of circle ,

Net force acting on the rock is

tension in the wire is

-------------

Maximum length of copper wire is

Minimum length of copper wire is

genius_generous answered 7 months ago

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