m₁ A block with mass m, 2 kg rests on a table that exerts a negligible friction force on the block. The block is connected with a light string over a pulley to a hanging block of mass m,-4 kg. The pulley is a uniform disk with a radius of 4 cm and a mass of 0.5 kg. The rotational inertia of a uniform disk is %/MR¹. 2.1) Calculate the acceleration of each block and the tension in each segment of string. M₂
m₁ A block with mass m, 2 kg rests on a table that exerts a negligible friction force on the block. The block is connected with a light string over a pulley to a hanging block of mass m,-4 kg. The pulley is a uniform disk with a radius of 4 cm and a mass of 0.5 kg. The rotational inertia of a uniform disk is %/MR¹. 2.1) Calculate the acceleration of each block and the tension in each segment of string. M₂
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Transcribed Image Text:Rotational Dynamics: Atwood's Machine Assignment
A block with mass m,-2 kg rests on a table that exerts a
negligible friction force on the block. The block is connected with a
light string over a pulley to a hanging block of mass m,-4 kg. The
pulley is a uniform disk with a radius of 4 cm and a mass of 0.5 kg.
The rotational inertia of a uniform disk is ½/MR².
m₁
2.1) Calculate the acceleration of each block and the tension in each segment of string.
2.2) Calculate how long it takes the blocks to move a distance of 2.25 m.
2.3) Calculate the angular speed of the pulley at the instant that the blocks have moved 2.25 m.
m₂
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