BC Root Solutions Questions

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ynaqbrer

Science

Boston College

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Name ______________________ PY105 TEST #1 February 19, 2020 6:30-8:15 pm NAME: __________________________________________ ID NUMBER: ____________________________________ SIGNATURE: ____________________________________ By signing, you agree to follow the Boston University Academic Code of Conduct for this exam. INSTRUCTIONS: 1. Do not turn over this cover sheet until instructed to do so. 2. No talking is allowed during this test. 3. Include appropriate units with all numerical answers. 4. Show all steps in your solutions! You must show correct work to receive full credit. Support your answers with brief written explanations and/or arguments based on equations. 5. Indicate clearly which part of your solution is the final answer for each part. 6. No notes, books, phones, or calculators allowed! You should have only pencils and/or pens. 7. Turn off and put away all electronic devices. 8. No cell phone use for texting or any other function allowed. Angle (θ) sin(θ) cos(θ) 30˚ 1 2 60˚ 2 2 3 2 3 2 2 2 1 2 90˚ 1 0 45˚ tanθ = sinθ cosθ 1 Name ______________________ Problem 4 [10 points] A large block (labeled 2) of M sits on a horizontal surface. A small block (labeled 1) of mass m sits on top of the large block. Both blocks are connected to a pulley. Assume the pulley and the rope are massless and frictionless. There is no friction between the horizontal surface and block 2, but there is friction between block 1 and 2. A horizontal force F is applied on block 2 that causes block 2 to move to the right. The system is shown in figure below. (a) Draw the free body diagram of block 1. Write out (symbolically) Newton’s second law equations just for block 1. [2 points] (b) Draw the free body diagram of block 2. Write out (symbolically) Newton’s second law equations just for block 2. [2 points] (c) Draw the free body diagram the system. Write out (symbolically) Newton’s second law equations for the whole system. [2 points] 2 Name ______________________ For the remaining parts of this question, consider that the mass of block 1 is 4 kg and block 2 is 6 kg. The coefficients of friction for the interaction between the two blocks are: µS = 0.50 and µK = 0.25. You can use g = 10 N/kg. (d) What is the type of the force of friction acting on the small block assuming that the large block is accelerating to the right? [1 point] [ ] Static [ ] Kinetic Briefly explain your answer. (e) What is the magnitude of the force of friction acting on the small block assuming that the large block is accelerating to the right? [1 point] |Ffriction |= _________ (f) Calculate the magnitude of the maximum force F for the system to remain at rest? [2 points] |F| = _____________ 3
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