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An Introduction To Mechanics

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Problem Set 6 Physics 116 : Due Friday, 03/07/2008 1. K&K, Problem 4.1 2. K&K, Problem 4.3 3. K&K, Problem 4.4 4. K&K, Problem 4.5 5. K&K, Problem 4.7 6. K&K, Problem 4.13 7. A particle of mass m is released with zero velocity at the top of three different frictionless tracks. Each track drops a vertical distance d , and is also a horizontal length d . Track A is a straight line. Track B is an “L” shaped track, where the rounded corner is arbitrarily small. Track C is a quarter circle of radius d . Find the time it takes for the mass to go from the top to the end of each of the three tracks. Hint : R π/ 2 0 (sin θ ) - 1 / 2 2 . 62206. 8. Extra Credit Question Please work on this question by yourself!
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Unformatted text preview: Consider a block of mass m sliding on a fixed inclined plane which is tilted an angle θ from the horizontal. The coefficient of friction between the block and the plane is μ = tan θ . The block is being held at rest, and at t = 0, it is given a tap in the horizontal direction (i.e. perpendicular to the incline) which gives it an initial speed v . Assume the inclined plane is essentially infinite, so that you don’t need to worry about the block ever falling off the inclined plane. What is the speed of the block as t → ∞ ? d d A B C Q v Problem 7 Extra Credit...
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