WM Assignment 2

# WM Assignment 2 - Anil Kanungo ME324 Fri 2pm Using the 2D...

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Anil Kanungo ME324 – Fri 2pm 10/31/08 Working Model Assignment #2 Using the 2D modeling software known as Working Model, we were able to design a spring-powered, torsional pendulum and observe its dynamic motion under certain conditions. The assignment allowed us to study the nature of impulse-momentum, conservation of energy, and Newton’s Laws. It gives us the dimensions for a torsional pendulum with a length of .3 m, connecting bob (m B ) with mass of 1 kg, and connecting torsional spring with restoring force of 0.1 N/rad. The bob is acted on by another mass (m A ) of 10 kg which has a horizontal, impulsive force of 500 N acting on it. These initial conditions are illustrated below: For Part A, we proceeded to find the duration of the impulsive force F needed to raise bob B a third of the height of the pendulum. The maximum height obtained was calculated using the simple equation of h=L/3 , while the impulse time required a series of equations including U=½kθ 2 for total energy, T 1 +V 1 =T 2 +V 2 for conservation of energy, m A v 1 +m B v 1 =m A v 2 +m B v 2 for conservation of momentum, e[v A1 -v B1 ]=[v B2 -v A2 ] for evaluating collisions as elastic, and ∫F dt =mv-mv 0 to evaluate time. By finding the value of v A1 =.2251 m/s

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WM Assignment 2 - Anil Kanungo ME324 Fri 2pm Using the 2D...

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