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Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient

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Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient of friction u). An external force is applied to the top block at an angle O to the horizontal. M1 M2 What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the problem statement in addition to g for gravitational acceleration. Expression F= Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(), cos(0), sin(a), sin(), sin(0), Y, u, 0, d, g, m1, my, n, q Problem 6: Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be 01, while the mass of the second cart as my and the angle it sits on to be 02. m1 02 Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the acceleration that the two blocks experience in terms of the mass of the first block my, the angle 01, the mass of the second block m2, the angle 02, and the acceleration due to gravity g. Expression Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(), cos(01), cos(02), sin(a), sin(), sin(01), sin(02), a, g, k, m1, m2, n, q Part (b) What is the equation for tension in regards to the rope coming from the second block? Answer in terms of the mass of the block my, the acceleration due to gravity g, the angle 02, and the acceleration of the blocks found previously a. Expression Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(Q), cos(01), cos(02), k, q, sin(a), sin(Q), sin(01), sin(02), a, g, m1, my, n

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