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P. 4653. There is a small (point-like) object at the topmost point of a fixed sphere of absolutely smooth surface. If this object is slightly displaced from its equilibrium position it slides frictionlessly along the surface of the sphere for a while, and then leaving the sphere it falls down.

$\displaystyle a)$ How much distance is covered by the small object along the surface of the sphere until it leaves the sphere?

$\displaystyle b)$ Measured from the vertical diameter of the sphere, at what distance $\displaystyle L$ will the object hit the horizontal surface?

The radius of the sphere is $\displaystyle R=1.5$ m.

(4 points)

Deadline expired on 10 October 2014.

Statistics on problem P. 4653.
 106 students sent a solution. 4 points: 73 students. 3 points: 14 students. 2 points: 9 students. 1 point: 2 students. 0 point: 7 students. Unfair, not evaluated: 1 solution.

• Problems in Physics of KöMaL, September 2014

•  Támogatóink: Morgan Stanley