Question

1. A block (mass m) is on a horizontal rough surface (μs > 0). It has an ideal string attached to the right edge. You are pulling on the string horizontally as hard as possible such that the block does NOT slip on the surface; if you were to pull any harder horizontally then the block would begin to slip.

   Known: m, μs, and any physical constants (e.g., g)

   1. Determine the tension force T0 in terms of the known quantities. Show your work.

   2. Now you change the angle that you are pulling on the string, but the magnitude of the tension force T0 remains the same (e.g., if you were pulling with 100 N before, you are going to pull with 100 N again). The new angle that you pull at is θ relative to horizontal. Again, the actual magnitude is the same as part a above.

      If you pull on the string at this new angle, will the block slip, will it remain stationary, or is it impossible to tell without numbers? Explain very clearly how you are determining your answer. Use words when necessary to describe what you are doing and how you are interpreting your mathematics. You will be graded on how clear your explanation is.

      Note: In my opinion, the mathematics/algebra of this problem isn’t the most challenging part. Instead, it’s the organization of your work, being clear about what you determining, and interpreting any relations. Have a clear plan about what you are after and what you are comparing before proceeding.

      o

   3. Now for some numbers! If μs = 0.1 and θ = 30 , will the block slip when pulled at the

      new angle? Make sure your calculator is in degree mode.

      o

   4. Different numbers. If μs = 1.0 (so a rougher surface) and θ = 30 , will the block slip

      when pulled at the new angle?

   5. Do your answers to c and d seem “backward” in a way? I don’t expect an actual answer here, but just something to notice that’s interesting.

Answer 1

please upvote ? if you like my answer ?

AN mg 1 To N= mg & strce block dont stip so fato - T = M N To = Mg mg] A to sino To d o Tocoso So when To acts at o wnt horicontal N=mg - Tosino so f = Ms N = Us (mg - To Sino) = To - Ms To Sino = Toll-Messine So Block will slip if To cos o M (mg- To Sino) so impossible since they are not equal to block will slip Ms = 0.1 0=36 f= 0.1 mg - To Sin 30) = 0.1(mg. To ) pt nr