Question

An arm of length L is pivoted about its left end. A triangular block of base angle ? moves to the left against the arm at a constant speed v as shown. At any moment the arm is at angle ? to the x-axis. The ultimate goal here is to get an expression for dedt at any moment. hinge The diagram to the right above shows the geometry of the arm at some moment. (a) Set up an expression for ? in terms of ? and ?. (1 point) (b) Use the law of sines to set up a relation between x, L, and ?. (2 points) (c) Differentiate your result in (b) with respect to time, and arrive at an expression for deldt. Some of the quantities are constant. Your result should be purely in terms of v, L, ? and ?. Your results in (a) and (b) might be handy. (6 points) If v what is dealt when ?-07 (2 points) (d) 5 ft/s, L-6 ft, and ? 60°, what is ? when dedt-1 rad/sec? (2 points) (e)

Answer 1

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