Compute the second moment of inertia around the z-axis (the second monment of inertia is denoted by /o in the textbook; also denoted by i, in section 15.6) for: 1. spinning a frisbee (in x-y plane and around the z-axis) with radius r and mass density δ around its center (think of spinning the frisbee on the tip of your index finger). 2. spinning the same frisbee around a point on its edge (this time your index finger is touching a fixed point on the edge of the frisbee but rotation is still around the z-axis) hint: in both cases, take the origin to be the tip of your index finger; so, rotation is around the z axis in both cases.

Which of the following correctly describes the early view of catastrophism?

Agymnast dismounts off the uneven bars in a tuck position with a radius of 0.3m (assume she is a solid sphere) and an angular velocity of 2rev/s. during the dismount she stretches out into the straight position, with a length of 1.5m, (assume she is a uniform rod through the center) for her landing. the gymnast has a mass of 50kg. what is her angular velocity in the straight position?

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue