M1 Dynamics: Find Tension, Friction & Force on Pulley

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SUMMARY

The discussion focuses on the dynamics of two particles connected by a string over a pulley on an inclined plane. Particle P, with a mass of 2 kg, accelerates up the plane at 2.5 m/s², resulting in a calculated tension of 21.9 N in the string. The coefficient of friction between particle P and the inclined plane is determined to be 0.418. The force exerted by the string on the pulley is derived from the vector difference of the tensions on either side of the pulley.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of tension in strings and forces on inclined planes
  • Familiarity with vector resolution and Pythagorean theorem
  • Basic concepts of friction and its coefficient
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  • Study the principles of Newton's second law in detail
  • Learn about vector resolution in physics
  • Explore the applications of Pythagorean theorem in inclined plane problems
  • Research methods for calculating forces in pulley systems
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding forces in pulley systems and inclined planes.

T.S.M
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Two particles P and Q of mass 2 kg and 3 kg respectively are connected by a light inextensible string. The string passes over a small smooth pulley which is fixed at the top of a rough inclined plane. The plane is inclined to the horizontal at an angle of 30°. Particle P is held at rest on the inclined plane and Q hangs freely on the edge of the plane with the string vertical and taut. Particle P is released and it accelerates up the plane at 2.5m s−2. Find

a the tension in the string, I got right T = 21.9

b the coefficient of friction between P and the plane, i got it right too 0.418

c the force exerted by the string on the pulley.

Could someone please go through part c?
And if there is a method/rule for part c on all questions that ask this please let me know!
If it would be around a table so pulley would give 90 degree, and so Pythagoras theorem can be applied but its inclined plane :S Can't understand! and one more thing that in finding the this we have to solve it Vector-ically ? or just Pythagoras theorem? I'm really confused, Pls help! :(
 
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Hi T.S.M! :smile:
T.S.M said:
c the force exerted by the string on the pulley.

It's just the (vector) difference between the tension on either side. :wink:
 

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