What Is the Acceleration of Masses on an Inclined Plane with Friction?

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SUMMARY

The discussion focuses on calculating the acceleration of two connected masses, m1 (4 kg) and m2 (9 kg), on an inclined plane with friction. The incline is set at 40 degrees, and m2 slides 1 meter down the incline in 4 seconds. Key calculations include determining the acceleration of both masses using kinematic equations for constant acceleration, the tension in the string, and the coefficient of kinetic friction between m2 and the incline. The use of kinematic equations is emphasized as a crucial step in solving these problems.

PREREQUISITES
  • Kinematic equations for constant acceleration
  • Understanding of forces on inclined planes
  • Basic principles of friction, specifically kinetic friction
  • Newton's laws of motion
NEXT STEPS
  • Calculate acceleration using the kinematic equation: \( a = \frac{2d}{t^2} \)
  • Determine tension in the string using free body diagrams for both masses
  • Calculate the coefficient of kinetic friction using the equation: \( \mu_k = \frac{f_k}{N} \)
  • Explore the effects of different angles of incline on acceleration and friction
USEFUL FOR

Students in physics, engineers working on mechanics, and anyone studying dynamics involving inclined planes and friction.

leisiminger
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Objects of Masss m1= 4kg and m2 = 9kg are connected by a light string that passes over a frictionless pulley. Object m1 = is held at rest on the floor, and m2 rests on a fixed incline of 40 degrees. The objects are released from rest, and m2 slides 1 meter down the <b>rough</b> incline in 4 seconds.
a) determine the acceleration of each object using a kinematic equation for constant acceleration b) the tension in the string, and d) the coefficient of kinetic friction between m2 and the incline.

I'm really having trouble finding the acceleration, I'm not sure if I am looking too deeply into it.
I've tried so many different ideas i don't know where to begin :(
 
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leisiminger said:
Objects of Masss m1= 4kg and m2 = 9kg are connected by a light string that passes over a frictionless pulley. Object m1 = is held at rest on the floor, and m2 rests on a fixed incline of 40 degrees. The objects are released from rest, and m2 slides 1 meter down the <b>rough</b> incline in 4 seconds.
a) determine the acceleration of each object using a kinematic equation for constant acceleration b) the tension in the string, and d) the coefficient of kinetic friction between m2 and the incline.

I'm really having trouble finding the acceleration, I'm not sure if I am looking too deeply into it.
I've tried so many different ideas i don't know where to begin :(

It suggests using a kinematic equation for constant acceleration. It might be an idea to write down all the kinematic equations for constant acceleration and see what you can do with them.
 

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