Problem Set 3

# Problem Set 3 - ME 240 Fall 2008 Problem Set 3 Due...

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ME 240 Fall 2008 Problem Set 3 – Due September 26. 1. The circular disk lies in the horizontal plane and rotates with a constant counterclockwise angular velocity of 4 rad/s. The 0.5-kg slider A is supported horizontally by the smooth slot and the string attached at B . Determine the tension in the string and the magnitude of the horizontal force exerted on the slider by the slot. 2. Suppose you are designing a monorail transportation system that will travel at 50 m/s, and you that the angle θ that the cars swing out from the vertical when they go through a turn must not be larger than 20 . If the turns in the track consist of circular arcs of constant radius R , what is the minimum allowable value of R ? (See Active Example 14.6) 3. The skier passes point A going 17 m/s. From A to B , the radius of his circular path is 6 m. By using Newton’s second law in terms of polar coordinates, determine the magnitude of the skier’s velocity as he leaves the jump at B . Neglect tangential forces other than the tangential component of his weight.

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4. The 10-kg collar starts from rest at position 1 and slides along the smooth bar. The
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Problem Set 3 - ME 240 Fall 2008 Problem Set 3 Due...

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