Question

#K5-11 A rough horizontal track, a pulley and two blocks connected by a string are located in a laboratory near the surface of a planet. Block I has mass m, and block 2 has mass m,. The gravitational acceleration of the planet has magnitude g and is directed straight down. The coefficient of kinetic friction between block I and the track isA. The string connecting the blocks has negligible mass and constant length. The pulley is also very light. Block 2 is sufficiently heavy that block 1 slides horizontally to the right, against the friction. Block 2 moves straight down. nt nt 2 (a) Draw a free-body force diagram for each of the blocks, as has been done in lecture. (b) Construct a force-component table for each block, as has been done in lecture. In this step, do not use Newton 2 or explicit formulas for known forces. (c) What are the expressions for the forces that have explicit formulas? d) State the relationship between the magnitudes of the tensions exerted by the ends of the string on the blocks (e) Argue that al,-0 and aa = 0. ("The problem states , so " and use a little calculus.) ( State the relationship between the magnitudes of the accelerations of the blocks. Also state the relationship between a1x and@y· (g) Calculate formulas fora,襾,,T, and T. These involvem-m-A4 and g. Partial Ans. m + m

Answer 1

emi m.3

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