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SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m₁, m₂ and g. a = (ii) Solve for the magnitude of 7 in the strings in terms of m₁, m₂ and g. T= Sense-making: For the case where m₁ = 0, what do you predict the acceleration of m₂ to be? What do you predict 7 to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 2 kg and block 2 has mass 4.2 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= m (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.

SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m₁, m₂ and g. a = (ii) Solve for the magnitude of 7 in the strings in terms of m₁, m₂ and g. T= Sense-making: For the case where m₁ = 0, what do you predict the acceleration of m₂ to be? What do you predict 7 to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 2 kg and block 2 has mass 4.2 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= m (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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m₁, m² and g. a = (ii) Solve for the magnitude of 7 in the strings in terms of m₁, m₂ and g. T= Sense-making: For the case where m₁ =0, what do you predict the acceleration of m₂ to be? What do you predict 7 to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 2 kg and block 2 has mass 4.2 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 = ✓ m (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.
Transcribed Image Text:SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m₁, m² and g. a = (ii) Solve for the magnitude of 7 in the strings in terms of m₁, m₂ and g. T= Sense-making: For the case where m₁ =0, what do you predict the acceleration of m₂ to be? What do you predict 7 to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 2 kg and block 2 has mass 4.2 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 = ✓ m (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.
1. The device shown below is known as the Atwood's machine. Block 1 has mass m₁ and block 2 has mass m₂. Assume that m₂ > m₁. Assume that the masses of the string and the frictionless pulley are negligible. m₁ m₂ DRAW A FREE BODY DIAGRAM IN YOUR NOTEBOOK (a) In your notebook, draw a free body diagram of m₁ and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and meg, the tension in the string T. The tension T is the same everywhere in the string as the string has negligible mass. L. X 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 7 and the weight m₁g can be written as: ΣFy= ✔=m₁a₁ (c) Newton's Second Law for m₂ in terms of the tension 7 and the weight mag can be written as: ΣF= = m₂a₂ (d) How are a, and a related? What are the directions of a, and a₂? A. a, is greater than a is less than a2₂ B. a₁ C. a, and a₂ have the same magnitude and direction 1 D. a, and a₂ have the same magnitude but opposite directions Consider: How will the equations from part (b) and (c) change considering the relationship between a, and a₂? 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 m₁, m₂ and g.
Transcribed Image Text:1. The device shown below is known as the Atwood's machine. Block 1 has mass m₁ and block 2 has mass m₂. Assume that m₂ > m₁. Assume that the masses of the string and the frictionless pulley are negligible. m₁ m₂ DRAW A FREE BODY DIAGRAM IN YOUR NOTEBOOK (a) In your notebook, draw a free body diagram of m₁ and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and meg, the tension in the string T. The tension T is the same everywhere in the string as the string has negligible mass. L. X 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 7 and the weight m₁g can be written as: ΣFy= ✔=m₁a₁ (c) Newton's Second Law for m₂ in terms of the tension 7 and the weight mag can be written as: ΣF= = m₂a₂ (d) How are a, and a related? What are the directions of a, and a₂? A. a, is greater than a is less than a2₂ B. a₁ C. a, and a₂ have the same magnitude and direction 1 D. a, and a₂ have the same magnitude but opposite directions Consider: How will the equations from part (b) and (c) change considering the relationship between a, and a₂? 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 m₁, m₂ and g.
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