A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A block of mass m is at rest on a 20° slope. The coefficient of static friction between the box and the floor is 0.64. The block is connected by a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. What is the minimum mass m that will stick to the surface and not rise up the slope?

  • This Question is Open
  1. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    as always draw your Full Body Diagram out. then label the forces acting on each object.

  2. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444245859571:dw|

  3. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    for m2 do this\[y:T-m_2g=0\]\[y:T=m_2g\]then for the block on the incline\[y:n-m_1gsin20=0\]\[y:n=m1gsin20\]and for x\[x:T-f=0\]\[x:T=f\]\[x:T=\mu n\]

  4. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[m_2*g=\mu *m_1*g*\sin20\]put in your known values and solve for m1. i think this is how you do it.

  5. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[m_2=\mu m_1\sin20\]

  6. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    g could be divided out.

  7. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    damn i forgot one force. hold on.

  8. zephyr141
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ok it should be this...\[m_1=\frac{m_2}{\mu \sin20+\cos20}\]

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.