Question

2017 AP PHYSICS C: PHYSICS C: MECHANICS SECTION II Time-45 minutes 3 Questions Directions: Answer all three q which bookle ons: Answer all three questions. The suggested time is about 15 minutes for answering each of the questions arc worth 15 points each. The parts within a question may not have equal weight. Show all your work in this t in the spaces provided after each part. . An Atwood's machine consists of two blocks connected by a light string that passes over a frictionless pulley of negligible mass, as shown in the figure above. The masses of the two blocks, M, and M2, can be varied. M2 is (a) On the dots below, which represent the blocks, draw and label the forces (not components) that act on the appropriate dot. The relative lengths of the arrows should show the relative magnitudes of the forces. always greater than M, blocks. Each force must be represented by a distinct arrow starting on and pointing away from the Block of Mass M Block of Mass M2 plying Newton's second law to each block and (b) Using the forces in your diagrams above, write an equation ap use these two equations to derive the magnitude of the acceleration of the blocks and show that it is given by (M-M) the equation:(46 MI
Can you please solve part a and b with explaining them

Answer 1

(a) Tension in the string is same on both sides of pulley. Therefore length of T will be same for both the black. Black M_1 will accelerate upward, therefore length of T will be more than m_1g Black m_2 will accelerate downwards, therefore length of m_2g will be larger than T. (b) Both blocks will have same acceleration T - m_1g = m_1a (1) m_2g - T = m_2a (2) adding (1) and (2) T - m_1g = m_1a m_2g - T = m_2a/ m_2g - m_1g = m_1a + m_2a = > (m_2 - m_1)g = (m_1 + m_2)a = > a = (m_2 - m_1)/(m_1 + m_2) g