Skipping with my husband. Two boxes of masses m₁ = 34.0 [g] and m₂ = 4m₁ are connected by a taut, massless rope, as shown in the figure. Box m₁ is at rest initially at the bottom of a frictionless plane inclined at an angle = 34.0°, while box ma is freely-hanging. The rope does not slip as it passes through a pulley of radius R = 4.50 [cm]. If my falls down a height h = 37.0 [cm] with speed v= 0.280 [m/s], what is the angular acceleration of the pulley?

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
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Question 29
29
Skipping with my husband. Two boxes of masses m₁ = 34.0 [g] and m2 = 4m₁ are connected by a taut,
massless rope, as shown in the figure. Box m₁ is at rest initially at the bottom of a frictionless plane inclined at
an angle = 34.0°, while box m₂ is freely-hanging. The rope does not slip as it passes through a pulley of
radius R = 4.50 [cm]. If my falls down a height h = 37.0 [cm] with speed v = 0.280 [m/s], what is the angular
acceleration of the pulley?
BEFORE
M
AFTER
M
m₁
m1
10
O 7.22 [rad/s²]
O 2.35 [rad/s²]
O 7.93 [rad/s²]
m₂
m₂
T
h
Į
Transcribed Image Text:Question 29 29 Skipping with my husband. Two boxes of masses m₁ = 34.0 [g] and m2 = 4m₁ are connected by a taut, massless rope, as shown in the figure. Box m₁ is at rest initially at the bottom of a frictionless plane inclined at an angle = 34.0°, while box m₂ is freely-hanging. The rope does not slip as it passes through a pulley of radius R = 4.50 [cm]. If my falls down a height h = 37.0 [cm] with speed v = 0.280 [m/s], what is the angular acceleration of the pulley? BEFORE M AFTER M m₁ m1 10 O 7.22 [rad/s²] O 2.35 [rad/s²] O 7.93 [rad/s²] m₂ m₂ T h Į
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