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# written5 - Homework 5 Due 1 A stone of mass m is attached...

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Homework 5 Due February 13 2007 - 1 - 1) A stone of mass m is attached to a light string of length L describes a circular path at an angle θ as shown. a) Indicate the direction of the total acceleration vector of the stone on the figure. b) What is the radius R of the circle in terms of θ and L ? c) Find the tension in the string. d) Find the angular velocity ω of the motion in terms of g, L and θ. 2) On a winter's day in Maine, warehouse workers are pushing boxes of mass m down a rough plank inclined at an angle α above the horizontal. The plank is partially covered with ice, more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance x from the bottom of the plank according to µ s = µ k = Ax where A is a positive constant and the bottom of the plank is at x =0 (note that we assume that kinetic and static friction coefficients are the same). Suppose that initially a box is resting at a position x 0

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written5 - Homework 5 Due 1 A stone of mass m is attached...

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