1. The device shown below is known as the Atwood's machine. Block 1 has mass m and block 2 has mass m. Assume that m> m. Assume that the masses of the string and the frictionless pulley are negligible. m m2 SET UP NEWTON'S SECOND LAW OF MOTION: USE COORDINATE AXES IN THE TEMPLATE: Y AXIS - UPWARDS IS POSITIVE (b) Newton's Second Law for m, in terms of the tension T and the weight mg can be written as: Fy= =ma (c) Newton's Second Law for m in terms of the tension 7 and the weight mg can be written as: Fy= m2a2 (d) How are a, and a related? What are the directions of a, and a? A. a, is greater than a B. a, is less than a C. a, and a have the same magnitude and direction D. a, and a have the same magnitude but opposite directions Consider: How will the equations from part (b) and (c) change considering the relationship between a, and a? Rewrite the equations from part (b) and (c) using the conclusions from part (d). SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m, m and g. a (ii) Solve for the magnitude of 7 in the strings in terms of m,, m and g. T = Sense-making: For the case where m = 0. what do you predict the acceleration of m to be? What do you predict T to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 1.8 kg and block 2 has mass 3.7 kg. Assume all quantities are correct to 3 significant figures. (e) Using the rewritten equations from part (b) and (c) and part (d) find the magnitude of the acceleration of the two blocks. Enter to 3 significant figures a= (f) Calculate the tension in the string. Enter to 3 significant figures T= N Think: How would the answers for part (e) and (f) change if instead you chose downward as positive and upward as negative direction.