phys lab1

phys lab1 - Equilibrium of Forces Acting at a Point Name:...

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Unformatted text preview: Equilibrium of Forces Acting at a Point Name: Suneet Bhansali Section: Date Partners: TA Part 1: Finding the required force magnitude and direction to reach equilibrium (3 Pulleys) Measurements Pulley 1 Mass (kg) : um (kg) : Angle θ (rads) : uθ (radians) : Constants Pulley 2 0.1660 0.0001 -1.5708 0.0087 Pulley 3 0.1661 0.0001 0.5236 0.0087 0.1658 0.0080 2.6180 0.0349 F= F 9.8x = F cos θ Fx2 + Fy2 Fy = F cos θ 2 2 Fy F uF = x u Fx 2 + u Fy 2 F F u Fx = ( cosθ ) 2 u F 2 + ( F ) ucosθ 2 u Fy = ( sin θ ) 2 uF + ( F ) usin θ 2 2 2 2 Calculations Pulley 1 Pulley 2 Pulley 3 Resultant Force F (N) : 1.63 1.63 1.62 0.00 Force Fx (N) : 0.00 1.41 -1.41 0.00 Force Fy (N) : -1.63 0.81 0.81 0.00 uF (N) : 0.001 0.001 0.078 0.0943237 (uF/F)*100 (%) : 0.06 0.06 4.825 N/A usinθ (radians) : 0.000 0.008 0.030 N/A ucosθ (radians) : 0.009 0.004 0.017 N/A UFx (N) : 0.014 0.007 0.074 0.095 UFy (N) : 0.00 0.01 0.06 0.076 Part 2: Finding the required force magnitude and direction to reach equilibrium (4 Pulleys) Measurements Pulley 1 Mass (kg) : um (kg) : Angle θ (rads) : uθ (radians) : Pulley 2 0.1883 0.0010 -1.5708 0.0087 0.1661 0.0010 0.6283 0.0087 Pulley 3 Pulley 4 0.2101 0.0010 1.1519 0.0087 0.1658 0.0120 3.4034 0.0611 Calculations Pulley 1 Pulley 2 1.85 0.00 -1.85 0.010 0.53 0.000 0.009 0.016 0.01 Force F (N) : Force Fx (N) : Force Fy (N) : uF (N) : (uF/F)*100 (%) : usinθ (radians) : ucosθ (radians) : UFx (N) : UFy (N) : 1.63 1.32 0.96 0.010 0.60 0.007 0.005 0.012 0.01 Pulley 3 2.06 0.84 1.88 0.010 0.48 0.004 0.008 0.017 0.01 Urotatingmass=√(Uslope^2+Uradius^2)=5% Uslope=5% Uradius=1% Pulley 4 Resultant 1.62 -1.57 -0.42 0.118 7.24 0.059 0.016 0.116 0.10 0.818 0.585 0.572 0.149 N/A N/A N/A 0.1610 0.1348 ...
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This note was uploaded on 11/27/2011 for the course PHYS 104 taught by Professor Pengyi during the Fall '08 term at UNC.

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