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MT2review7A

# MT2review7A - Midterm 2 Review These problems are meant to...

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Midterm 2 Review These problems are meant to teach rather than to test. Therefore, they (especially 4 & 5) guide you to the final solution step-by-step. It will be a good idea to straight away go for the final solution without reading the intermediate steps, try to formulate your own strategy, and if you don't get it, come back and read the guiding steps. 1. A block of ice slides down a hill of height h and back up a semi-circular groove of radius h/2 . Will it reach the top of the semicircle? If yes, how long will it take? If not, 1. at what height will it break off the groove? 2. what will its speed be at the highest point of its trajectory after it breaks off the groove? 2. A cube of side L and mass M placed on a very rough surface. What minimum horizontal force must be applied to one of its corners to make it start toppling? 3. An open cylindrical barrel of mass M, radius R and height H starts sliding on a frozen lake with an initial speed v 0 in rainy weather. Use d for the density of water. What will the speed of the barrel when it is filled with water if 1. the raindrops fall straight down with a speed v r ?

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