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PHYS122

# PHYS122 - PHYS122 2010W Assignment 2 Due 17:00 Thursday...

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PHYS122 2010W Assignment 2 Due: 17:00 Thursday 2010-01-21

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PHYS122 Assignment 2 Tutorial: Student ID: - Surname: Given Name: 1. (10) A physical pendulum consists of a rigid rod of length and mass m . Furthermore, it has a spring with spring constant k connected to it at a distance h below its point of suspension as shown. The spring is in equi- librium when the pendulum is vertical. m k h m FBD (a) (2) Draw the free body diagram for the rod in the box above. Include all forces on the diagram. You should assume that the spring force remains horizontal as the system oscillates. (b) (2) Sum the torques about the pivot. Take the counter-clockwise direction as positive. The moment of inertia of the rod about the pivot is I = 1 3 m‘ 2 . τ = (c) (2) Apply the small angle approximation ( sin θ tan θ θ ) and find an expression for the angular acceleration, α = d 2 θ dt 2 . α = (d) (2) What is the period of oscillation? T = (e) (2) What is the period of oscillation in the h 0 limit?
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PHYS122 - PHYS122 2010W Assignment 2 Due 17:00 Thursday...

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