2 inclined plane problems, one with pulleys

Click For Summary
SUMMARY

The discussion focuses on solving two inclined plane problems involving pulleys and friction. For the first problem, the user derived the condition for the angle θ using the inequality mgsinθ < µk*mgcosθ, leading to the conclusion that θ must be less than arctan(µk). The net force on the x-axis was calculated to find acceleration, which was then applied in the kinematic equation Vf^2 = Vi^2 + 2ad, resulting in the formula d = -V0^2 / 2(gsinθ - µk*gcosθ). The user expressed uncertainty regarding the second problem and sought assistance.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Knowledge of friction coefficients, specifically kinetic friction (µk)
  • Basic trigonometry, particularly the tangent function
NEXT STEPS
  • Study the application of Newton's second law in inclined plane problems
  • Learn about the role of friction in motion on inclined planes
  • Explore advanced kinematic equations and their derivations
  • Investigate pulley systems and their effects on force and motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of problem-solving techniques in physics.

physxishard
Messages
1
Reaction score
0
Homework Statement
please check the attachment
Relevant Equations
please check the attachment
For the a part of the first problem I did this: mgsinθ < µk*mgcosθ
Sinθ < µk*cosθ
Tanθ < µk so θ should be less than arctan µk
For part b of the first problem I found the net force on x-axis and derived acceleration from there. Then I used that acceleration in Vf^2 = Vi^2 +2ad which gave me the result => d = -V0^2 / 2(gsinθ - µk*gcosθ)
I'm not really sure about these but at least I was able to get results. I'm really having problems with the second question though. I'd really appreciate some help. Thanks in advance.

physics hw5.PNG
 

Attachments

  • physics hw5.PNG
    physics hw5.PNG
    126.6 KB · Views: 247
Physics news on Phys.org
Well done on the first question, but you need to show some attempt on the second, per forum rules.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
7K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 68 ·
3
Replies
68
Views
13K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
Replies
11
Views
3K