How to Calculate the Speed of M2 in a Pulley System After 1.35 Seconds?

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SUMMARY

The discussion focuses on calculating the speed of mass M2 in a pulley system after 1.35 seconds, with given masses M1 = 3.0 kg, M2 = 7.0 kg, and M3 = 5.0 kg. The system is frictionless, and the user is attempting to apply the equation V = Vo + at, where Vo is the initial velocity (0) and time (t) is 1.35 seconds. The challenge lies in determining the acceleration (a) for the system, which is uniform across all masses due to the constraints of the pulley system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations, specifically V = Vo + at
  • Basic knowledge of pulley systems and mass interactions
  • Ability to calculate acceleration in a multi-mass system
NEXT STEPS
  • Study the derivation of acceleration in pulley systems with multiple masses
  • Learn how to apply Newton's second law to systems of connected masses
  • Explore the concept of tension in pulley systems and its effects on acceleration
  • Practice solving similar problems involving frictionless pulleys and multiple masses
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Students studying physics, particularly those focusing on mechanics and pulley systems, as well as educators looking for problem-solving techniques in kinematics.

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Homework Statement



The three blocks shown are relased at t=0 from the position shown in the figure. Assume that there is no friction between the table and M2, and that the two pulleys are massless and frictionless. The masses are: M1 = 3.0 kg, M2 = 7.0 kg, M3 = 5.0 kg.

Calculate the speed of M2 at a time 1.35 s after the system is released from rest.

http://nplq1.phyast.pitt.edu/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob81_pulley2

Homework Equations


I figure I need an equation with time like V= Vo +at and then I also need to use an equation to solve for a. I know all of the a's are equal (a1=a2=a3), yet I do not know which equation to use.


3. The Attempt at a Solution
for the first equation I plugged in V=Vo +at, t was the 1.35s, Vo = 0, v is unknown, and a I am unsure how to get still? Could you please help me out?
 
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