IVI m1 m2 Two blocks with masses m1 =7 kg and m2 = 4 kg are connected by a rope through a solid disk pulley with mass M = 2.5 kg and radius R = 0.2 m (I = (½)MR?). The rope is massless and doesn't slip of the %3D pulley. When released from rest, blocks start to move with constant acceleration. Find the magnitude of acceleration of the blocks. Hints: Select the direction of motion to set the positive/negative directions. Draw free-body diagrams for blocks 1 and 2. Express the torque on the pulley in both angular and linear terms to relate the tensions to rotation inertia and angular acceleration. Use that for the equations you obtained from free-body diagrams.

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Chapter7: Rotational Motion And Gravitation
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IVI
m1
m2
Two blocks with masses m1 =7 kg and m2 = 4 kg are connected by a rope through a solid disk pulley
with mass M = 2.5 kg and radius R = 0.2 m (I = (½)MR?). The rope is massless and doesn't slip of the
%3D
pulley. When released from rest, blocks start to move with constant acceleration. Find the magnitude
of acceleration of the blocks.
Hints: Select the direction of motion to set the positive/negative directions. Draw free-body diagrams
for blocks 1 and 2. Express the torque on the pulley in both angular and linear terms to relate the
tensions to rotation inertia and angular acceleration. Use that for the equations you obtained from
free-body diagrams.
Transcribed Image Text:IVI m1 m2 Two blocks with masses m1 =7 kg and m2 = 4 kg are connected by a rope through a solid disk pulley with mass M = 2.5 kg and radius R = 0.2 m (I = (½)MR?). The rope is massless and doesn't slip of the %3D pulley. When released from rest, blocks start to move with constant acceleration. Find the magnitude of acceleration of the blocks. Hints: Select the direction of motion to set the positive/negative directions. Draw free-body diagrams for blocks 1 and 2. Express the torque on the pulley in both angular and linear terms to relate the tensions to rotation inertia and angular acceleration. Use that for the equations you obtained from free-body diagrams.
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