Recent content by MPat

  1. M

    Solve Static Equilibrium: Beam, 520N Force, Cable Tension

    Homework Statement A uniform vertical beam of mass 40kg is acted on by a horizontal force of 520N at its top and is held, in the vertical position, by a cable as shown. a) Draw a free body diagram for the beam, clearly labelling all the forces acting on it b) Calculate the tension in the cable...
  2. M

    Conservation laws in rotational movement

    Ohhh...I think I see your point. If my starting point was B then the rod would have already gained some KE from A to B. So if I use conservation of energy and start at position A, the height would be 1.0m. mgh (point A) = KE (point C).
  3. M

    Conservation laws in rotational movement

    Whoops! You're totally right. I lost a g in there. L/2*mg =1/3ml^2α Solve for α m cancels out 3Lg/2L^2 = α L cancels out (3g)/(2L)=α 3(9.8)/2(1)= α = 14.7 rad/s^2Found the h or change in h by taking half of the length of the rod. L=1.0m, H = L/2 If the rod is starting at position B with rod...
  4. M

    Conservation laws in rotational movement

    Homework Statement Consider a uniform rod of mass 12kg and length 1.0m. At it's end the rod is attached to a fixed, friction free pivot. Initially the rod is balanced vertically above the pivot and begins to fall (from rest) as shown in the diagram. Determine, a) the angular acceleration of...
  5. M

    How Do You Calculate Change in Kinetic Energy and Momentum for a Turning Loader?

    Thank you! I think I got it, it's essentially the hypotenuse formed by the triangle...my numbers weren't adding up because I was forgetting that I had to separate the vectors into components, N-S and E-W.
  6. M

    How Do You Calculate Change in Kinetic Energy and Momentum for a Turning Loader?

    Homework Statement A 15 000kg loader traveling east at 20km/h turns south and travels at 25km/h. Calculate the change in the loader's a) kinetic energy b) linear momentum Homework Equations ΔKE= 1/2mvf^2 –1/2mvi^2 Δp= mv2 –mv1 m= 15000 vi = 20km/h = 5.56m/s vf= 25km/h = 6.94m/s The Attempt at...
  7. M

    Banked roads -- circular motion and gravitation

    GOT IT!...answer is Us = 0.22
  8. M

    Banked roads -- circular motion and gravitation

    Thanks for your help! Much appreciated.
  9. M

    Banked roads -- circular motion and gravitation

    Ok that correcting that I get the following sinθ (sinθFfr/cosθ + mg/cosθ) + cosθFfr = mv^2/r =sinθtanθFfr + tanθmg + cosθFfr = mv^2/r = Ffr(sinθtanθ + cosθ) + tanθmg = mv^2/r Ffr = (mv^2/r - tanθmg)/(sinθtanθ+cosθ) Even if I isolate Ffr here, m is unknown and I haven't been able to cancel it out...
  10. M

    Banked roads -- circular motion and gravitation

    Under vertical component? Vertical component cosθFn=mg Fn=mg/cosθ Eq 2 I divide both sides by cosθ here on the left side cosθ cancels out and on the right it becomes mg/cosθ Is this what you were referring to?
  11. M

    Banked roads -- circular motion and gravitation

    Homework Statement If a curve with a radius of 88m is perfectly banked for a car traveling at 75km/h, what must be the coefficient of static friction for a car not to skid when traveling at 95 km/hr 75km/h = 20.8m/s 95km/h = 26.4m/s Homework Equations Fr=mv^2/r Fr=centripetal force m = mass r...
  12. M

    What Day Length Would Allow Objects to Float at the Equator?

    Okay... g=v^2/r r = 6371 km = 6371000m v=sqrt g*r v= 7901m/s v=2πr/T T=2πr/v T=2π*6371000/7901 T=5066 seconds T= 84.4 mins So a day on Earth should be 84.4 mins so that an object can float freely above the equator. One thing I'm still confused about: Fr=mv^2/r Fr=mg - I came to that...
  13. M

    What Day Length Would Allow Objects to Float at the Equator?

    Ahh I'm confused. So if I take v=gT/2π and solve for T i get T=2πr/v Eq 2...what do I do with that? I don't have any of the values to help me solve for T. You said g=v^2/r Eq. 1 was correct...My assumption would have been that Fr would have to equal 0 in order for the object to float freely...
  14. M

    What Day Length Would Allow Objects to Float at the Equator?

    So for the object to float Fr should equal 0 correct?
  15. M

    What Day Length Would Allow Objects to Float at the Equator?

    Homework Statement Earth is a spherical object, which completes a full rotation every 24 hours. How long should the day on Earth be so that an object at the equator is able to float freely above the ground? Homework Equations v=2πr/T Fr=mv^2/r v=velocity r= radius T = time for comleting 1...
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