Determine and plot the moment M which must be applied to the crank OA in order to hold the cylinder of mass m = 5 kg in equilibrium. Neglect the effects of the mass of OA and friction and consider the range 0 ≤ θ ≤ 180°. After you have the plot evaluate M at θ = 64° and 113°. State the maximum and minimum values of the absolute value of M and the values of θ for which these extremes occur, and physically justify these results.

In which of the following would the particles move most rapidly? a. ice at -20 °c b. water at 20 °c c. steam at 110 °c d. boiling water e. ice at 0 °c

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j

Which insurance would contradict the big bang theory