Force Problem Help: Acceleration and Tension of Connected Objects | Figure P4.62

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The discussion focuses on solving a physics problem involving three connected masses: m1 = 4.00 kg, m2 = 4.00 kg, and a third mass of 3.00 kg, all connected by light strings over a frictionless pulley as depicted in Figure P4.62. Participants are tasked with determining the acceleration of each mass and the tension in the strings. The recommended approach includes drawing free body diagrams for each mass and applying Newton's second law to derive three equations necessary for solving the problem.

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  • Understanding of Newton's second law of motion
  • Ability to draw free body diagrams
  • Basic knowledge of tension in strings
  • Familiarity with acceleration calculations
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  • Study the application of Newton's second law in multi-body systems
  • Learn how to analyze free body diagrams for connected objects
  • Explore tension calculations in pulley systems
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p4-62alt.gif


Three objects are connected by light strings as shown in Figure P4.62. The string connecting the m1 = 4.00 kg mass and the m2 = 4.00 kg mass passes over a light frictionless pulley.


Figure P4.62

(a) Determine the acceleration of each mass. m/s2 (magnitude)

(b) Determine the tension in the two strings.
string between m1 and m2 N
string between m2 and the 3.00 kg mass N


I try and try but still don't get it right. Please help
 
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parwana said:
p4-62alt.gif


Three objects are connected by light strings as shown in Figure P4.62. The string connecting the m1 = 4.00 kg mass and the m2 = 4.00 kg mass passes over a light frictionless pulley.


Figure P4.62

(a) Determine the acceleration of each mass. m/s2 (magnitude)

(b) Determine the tension in the two strings.
string between m1 and m2 N
string between m2 and the 3.00 kg mass N


I try and try but still don't get it right. Please help
Draw a free body diagram for each object that moves in the problem. You will have three different tensions to deal with. Come back when you have three equations from applying Newtons second law to each object. If you can, solve them yourself.
 

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