Dynamics- Friction

  • Thread starter hsphysics2
  • Start date
  • #1
hsphysics2
27
0

Homework Statement



A box is halfway up a ramp. The ramp makes an angle, θ with the ground. What is the maximum value of θ before the mass will slip? μ[itex]_{s}[/itex]=0.25

Homework Equations



F[itex]_{x}[/itex]=ma[itex]_{x}[/itex]

The Attempt at a Solution


I drew a free body diagram to show the forces affecting the box

η-mgcos=0
η=mgcosθ (eq'n 1)
F[itex]_{x}[/itex]=ma[itex]_{x}[/itex]
μ[itex]_{s}[/itex]η-mgsinθ=ma[itex]_{x}[/itex] (sub eq'n 1 in)
μ[itex]_{s}[/itex](mgcosθ)-mgsinθ=ma[itex]_{x}[/itex]
mg(μ[itex]_{s}[/itex]cosθ-sinθ)=ma[itex]_{x}[/itex]


I'm not sure where to go from here, or even if this is the correct path for me to take
 

Answers and Replies

  • #2
NihalSh
199
15
Your equations are correct.

The question has essentially asked you to calculate max value of (theta), so the block does not slip. What does that tell you???.....Acceleration is 0. Now you know what to do.
 

Suggested for: Dynamics- Friction

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
13
Views
720
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
5
Views
10K
  • Last Post
Replies
6
Views
2K
Top