From linear model, $y = X\beta + \epsilon$, if $\hat{\sigma}^2 = \frac{|y - Xb|^2}{n-p}$ is the variance of error and $\hat{\sigma}_{-i}^2 = \frac{|y_{-i} - X_{-i}b_{-i}|^2}{n-p-1}$ is the estimate of the error variance σ obtained by fitting all the
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A particle of 100 grams is attached by two strings of lengths 30cm and 50cm respectively to points A and B, where A is 30cm vertically below B. Find the range of angular velocities for which the particle can describe horizontal circles with both strings taut. Take g as 10m/s^2
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