1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Block on the wedge

  1. Jul 9, 2015 #1
    1. The problem statement, all variables and given/known data

    In the attached picture, the rope is being pulled by a constant force T. All the surfaces are smooth. The pulley and the rope are massless and frictionless. Find the acceleration of the wedge.(use g=10ms-2)

    2. Relevant equations


    3. The attempt at a solution

    The normal force between the block and wedge is represented by N and acceleration of the wedge by 'a'.

    Writing ∑F = Ma for the wedge in horizontal direction , ##Nsinθ + Tcosθ -T = Ma## .

    Resolving forces on the block in direction perpendicular to the surface of wedge , ##N=mgcosθ##

    Using the above two equations , a = ##\frac{mgcosθsinθ + Tcosθ -T}{M}## .

    This gives a = 2.28ms-2 towards left. But the answer given is 1.3ms-2 .

    Could somebody help me identify the mistake .

    Thanks
     

    Attached Files:

  2. jcsd
  3. Jul 9, 2015 #2

    berkeman

    User Avatar

    Staff: Mentor

    Why is there any acceleration to the left? It would seem that gravity and the rope would both apply forces to the right. And the rope and pulley are said to be frictionless -- but what about between the block and ramp?
     
  4. Jul 9, 2015 #3

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Looks like you are assuming that the block has no component of acceleration perpendicular to the wedge. Is that so?
     
  5. Jul 9, 2015 #4
    Terrible mistake on my part o:)

    Thanks a lot !
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Block on the wedge
  1. Block on Wedge (Replies: 3)

  2. Block on a wedge (Replies: 2)

  3. Block on a wedge (Replies: 1)

  4. Block on Wedge (Replies: 25)

  5. WEDGE and block (Replies: 3)

Loading...