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A dumbell composed of two spheres of radii R and masses M connected by a massless rod such that t

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A dumbell composed of two spheres of radii R and masses M connected by a massless rod such that they are separated by distance L. It is balanced vertically as shown below when it is struck by a bullet of mass m M moving at a speed v0 at an angle of 30? with respect to the horizontal. The bullet embeds itself in the upper sphere.

(a) What is the maximum height of the center-of-mass after the collision?

(b) What is the angular velocity of the dumbell as it rotates about its center-of-mass?

(c) How many revolutions does it make before the center-of-mass returns to the original height?

 

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Oct 14, 2020

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