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March 27, 2017

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a 50kg object is suspended by a rope over a pulley which is connected to a large mass of 61.3kg. The mass rests on a 30 degree inclined ramp. The coefficient of kinetic friction between the block and the ramp is .15. What is the 50kg object's acceleration?

  • physics - ,

    weight down the hill: 50g*SinTheta
    friction on the plane= 50g*mu*CosTheta

    now, assuming the block is going up the hill (friction in the direction of downhill)..

    61.3g-50g*sinTheta-50g*CosTheta=mass*a
    solve for a.

  • physics - ,

    would the acceleration be negative?

  • physics - ,

    Yes, if it is defined positive downhill. I believe Bob left on the coefficient of friction mu in the CosTheta term of the last equation.

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