Math  /  Geometry

QuestionA solid sphere of radius 18.0 cm and mass 10.0 kg starts from rest and rolls without slipping a distance of L=7.0 m\mathrm{L}=7.0 \mathrm{~m} down a house roof that is inclined at 3030^{\circ}.
What is the angular speed about its center as it leaves the house roof? 38.9rads38.9 \frac{\mathrm{rad}}{\mathrm{s}}
The height of the outside wall of the house is h=9 mh=9 \mathrm{~m}. What is the horizontal displacement of the sphere between the time it which it leaves the roof and the time at which it hits the ground? 15.2 m

Studdy Solution
The angular speed of the sphere as it leaves the roof is approximately **38.9 rad/s**.
The horizontal displacement of the sphere is approximately **9.5 m**.

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