An elastic band is hung on a hook and a mass is hung on the lower end of the band. when the mass is pulled downward and then released, it vibrates vertically. the equation of motion is s(t)=2cost+3sint, t≥0, where s is measured in centimeters and t in seconds. (we take the positive direction to be downward.) (a) find the velocity function. (b) when does the mass pass through the equilibrium position for

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11m per

Answer (a)/// semi tractor trailer truck

A) the moment of inertia is given by i = mr^2 here m = 0.25 and r = 0.5. i = 0.25 * (0.5)^2 = 0.0625. b) i = 9.74 * 10^(37) and mass = 5.98 * 10^(24) so r^2 = i/m = 9.74 * 10^(37)/5.98 * 10^(24) = 1.628 * 10^(37 - 24) = 1.628 * 10^(13) r = √ 1.628 * 10^(13) = 4034848.200 c) since angular momentum is the product of moment of inertia and angular velocity, a = i * v; but i = mr^2 = 2 * 0.6^2 = 0.72 so a = 0.72 * 1.1 = 0.792. if she pulls her hand in 0.15 m. the new radius = 0.6 - 0.15 = 0.45. v = angular momentum/ radius = 0.792/ 0.45 = 1.76