A top in the form of a cone is spinning about its symmetry axis at a rate �, while precessing about the vertical axis at a rate
�. Assume that the nutation angle � is constant. Assume that the moments of inertia of the top about the symmetric and the transverse axes are given by Is and It respectively about the center of mass C. a) Given that the floor on which the top is precessing is smooth, find a relationship between the spin rate and the precession rate. [30] b) How does the answer change if you were told now that the floor had friction, and the top was precessing with its vertex O fixed?
1 answer:
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Answer:
Explanation:
As per Doppler's effect we know that the frequency of the sound that is observed by the detector is the reflected sound
This reflected sound is given as
so we know that the beat frequency is
so we will have
so we have
Answer: 1. h
Explanation:
The block would reach exactly the same height from the ground. It would travel a greater distance away from the source, but the height away from the earth would remain the same as you are giving it the same energy each time. Therefore, it will reach the same gravitation potential energy.
Another approach to look at it this is seeing it when the Block moves up the slope, its kinetic energy decreases and the potential energy increases. In both cases, the kinetic energy decreases by same amount, therefore the block rises to same height H.
Try to use the formula;
1/2MV2 = mgh
Where V = √(2gh)
I hope this helps
