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Vertical semicircular guide uniformly accelerated

Problem text A vertical semicircular guide, with radius and without friction, is constrained to a platform that moves with constant acceleration along the horizontal direction (see figure). A point body of mass , initially...

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Conic sections: an introduction from space

The conic sections (or simply conics) are those curves that are obtained as the intersection of the surface of a cone with a plane. Here, we discuss what kind of curves are achieved by varying the characteristics of the plane...

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Minimum speed to throw down a parallelepiped

Problem text Let us consider an object shaped as a parallelepiped and placed on a horizontal plane with friction (see figure). In particular, let us suppose that the object has a mass , a...

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