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Dynamics Of Rigid Bodies2D

Kinetics of Particles: Work and Energy - Theory & Concepts - Work Energy

Application of the Principle of Work and Energy to solve kinetics problems involving displacement and speed, including conservative and non-conservative forces.

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Work-Energy & Incline Simulator

Incline: 15° | μ_k: 0.10

Control Parameters

Incline Angle (θ\theta)15°
Mass (m)2.0 kg
Spring stiffness (k)500 N/m
Initial Compression (c)0.20 m
Friction (μk\mu_k)0.10

Work-Energy Conservation

T1+V1+U1→2=T2+V2T_1 + V_1 + U_{1 \to 2} = T_2 + V_2
T1=0 JT_1 = 0 \text{ J}
V1=PEsp,1=12(500)(0.20)2=10.0 JV_1 = PE_{sp, 1} = \frac{1}{2}(500)(0.20)^2 = 10.0 \text{ J}
U1→2=−Wf=−0.0 JU_{1 \to 2} = -W_f = -0.0 \text{ J}
Etotal,1=10.0−0.0=10.0 JE_{total, 1} = 10.0 - 0.0 = 10.0 \text{ J}
T2=KE=12(2)(0.00)2=0.0 JT_2 = KE = \frac{1}{2}(2)(0.00)^2 = 0.0 \text{ J}
V2=PEsp+PEg=10.0+0.0=10.0 JV_2 = PE_{sp} + PE_g = 10.0 + 0.0 = 10.0 \text{ J}
Etotal,2=0.0+10.0=10.0 JE_{total, 2} = 0.0 + 10.0 = 10.0 \text{ J}
Work-Energy Incline Systemx = 02.0kgFsfNmg sinθmg cosθmg-0.2m0.0m0.5m1.0m1.5m
Position (x):-0.200 m
Velocity (v):0.00 m/s
Height (h):0.00 m

Dynamic Energy Allocation (Joules)

PE Spring10.0J
PE Gravity0.0J
KE (Motion)0.0J
Friction Loss0.0J
Total E10.0J

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