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# lecture14 - Rotational Dynamics Examples involving = Text...

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1 Physics 1D03 Rotational Dynamics Examples involving τ = Ι α Text sections 10.5, 10.7 Practice Problems: Chapter 10, Problems 44, 71, 74 Physics 1D03 The moment of inertia measures the rotational inertia of a body. Particle: I = mr 2 i i i r m 2 I Extended Body: α τ I = external Newton’s 2 nd law for rotation about a fixed axis :

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2 Physics 1D03 Quiz: Atwood’s Machine, again Two masses, m 1 > m 2 , are attached to the end of a light string which passes over a massive pulley. The pulley rotates on a frictionless horizontal axle and has mass M. How do the tensions in the two sections of the string compare? m 1 m 2 T 1 T 2 A) T 1 = T 2 B) T 1 < T 2 C) T 1 > T 2 Physics 1D03 Atwood’s Machine m 1 = 3 kg, m 2 = 2 kg, R = 10 cm. Find the accelerations, tensions if 1) the pulley is massless 2) the pulley has moment of inertia I = 0.04 kg m 2 . m 1 m 2 T 1 T 2 R
3 Physics 1D03 A pulley of mass m is made of two disks welded together. The masses m 1 and m 2 are attached to two strings, and each string is wound around one of the disks. How does this change the problem?

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