Water droplets, of mass m each, are dripping from height h at a rate of r per second. Find the center of mass of the droplets.
The position of each droplet is a function of time. The number of drops is also a function of time. If possible, express the final answer as an integral in time.
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Answer:
centre of mass will lie at the centre of sphere i.e. the point where each and every symmetrical axis of sphere intersects with other axis..
Explanation:
position of each droplet as a function of time will be given as
position = H - (gt^2)/2
g= accn due to gravity
H = initial height
t = time in seconds
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