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a. [. Draw force diagrams for each of the blocks and the pulley wheel, clearly indicating all horizontal and vertical forces acting on them. b. [:. If the blocks do not slip relative to each other, what are their accelerations? c. JAssume that the blocks do slip relative to each other. Determine each block's horizontal acceleration as a function of the parameters specified above (i.e., M1, M2, µus, g, a and F). Which block has a higher acceleration? Be sure to work in an inertial reference frame!

a. [. Draw force diagrams for each of the blocks and the pulley wheel, clearly indicating all horizontal and vertical forces acting on them. b. [:. If the blocks do not slip relative to each other, what are their accelerations? c. JAssume that the blocks do slip relative to each other. Determine each block's horizontal acceleration as a function of the parameters specified above (i.e., M1, M2, µus, g, a and F). Which block has a higher acceleration? Be sure to work in an inertial reference frame!

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4. Two blocks of masses M1 and M2 (M2 > M1) are stacked on top of each other and start at rest on the surface of a frictionless table. The masses are connected via an ideal pulley (massless string and nearly massless pulley wheel), and the coefficient of static friction (assumed equal to the coefficient of kinetic friction) between the block surfaces is µs. The pulley is accelerated to the right by a force, resulting in an acceleration of the pulley wheel of å. Assume that gravity acts with constant acceleration g downward. M, p =0 M2 a. [. Draw force diagrams for each of the blocks and the pulley wheel, clearly indicating all horizontal and vertical forces acting on them. b. [:. If the blocks do not slip relative to each other, what are their accelerations? c. J Assume that the blocks do slip relative to each other. Determine each block's horizontal acceleration as a function of the parameters specified above (i.e., M1, M2, µs, g, a and F). Which block has a higher acceleration? Be sure to work in an inertial reference frame! d. !. What is the minimum force Frequired to cause one block to slip relative to the other? Assume that the mass of the pulley is negligible compared to those of the blocks.
Transcribed Image Text:4. Two blocks of masses M1 and M2 (M2 > M1) are stacked on top of each other and start at rest on the surface of a frictionless table. The masses are connected via an ideal pulley (massless string and nearly massless pulley wheel), and the coefficient of static friction (assumed equal to the coefficient of kinetic friction) between the block surfaces is µs. The pulley is accelerated to the right by a force, resulting in an acceleration of the pulley wheel of å. Assume that gravity acts with constant acceleration g downward. M, p =0 M2 a. [. Draw force diagrams for each of the blocks and the pulley wheel, clearly indicating all horizontal and vertical forces acting on them. b. [:. If the blocks do not slip relative to each other, what are their accelerations? c. J Assume that the blocks do slip relative to each other. Determine each block's horizontal acceleration as a function of the parameters specified above (i.e., M1, M2, µs, g, a and F). Which block has a higher acceleration? Be sure to work in an inertial reference frame! d. !. What is the minimum force Frequired to cause one block to slip relative to the other? Assume that the mass of the pulley is negligible compared to those of the blocks.
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