A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4m and diameter 1 mm. When in equilbrium, there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle θ with the vertical and is released. Find the maximum value of θ so that the sphere does not rub the floor. Young modulus of the metal of the wire is 2.0×1011Nm−2. Make appropriate approximations.

A sphere of mass 20 kg is suspended by a metal wire of unstretched len

1.	A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4m and diameter 1 mm. When in equilbrium, there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle θ with the vertical and is released. Find the maximum value of θ so that the sphere does not rub the floor. Young modulus of the metal of the wire is 2.0×1011Nm−2. Make appropriate approximations.
Answer» A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4m and diameter 1 mm. When in equilbrium, there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle $θ$ with the vertical and is released. Find the maximum value of $θ$ so that the sphere does not rub the floor. Young modulus of the metal of the wire is $2.0 \times 10^{11} N m^{- 2} .$ Make appropriate approximations.

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