9 In this question use \(g = 9.81 \mathrm {~ms} ^ { - 2 }\) A conical pendulum is made from an elastic string and a sphere of mass 0.2 kg
The string has natural length 1.6 metres and modulus of elasticity 200 N
The sphere describes a horizontal circle of radius 0.5 metres at a speed of \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
The angle between the elastic string and the vertical is \(\alpha\)
9

1. Show that $$62.5 - 200 \sin \alpha = 1.962 \tan \alpha$$ 9
2. Use your calculator to find \(\alpha\) 9
3. Find the value of \(v\)
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