In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.700 rad in 100 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T₁, and (d) string tension T₂? Assume free-fall acceleration to be equal to 9.81 m/s².

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 44P: Consider two objects with m1 m2 connected by a light string that passes over a pulley having a...
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In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm and rotational inertia 7.40 x 10-4
kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the
pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.700 rad in 100 ms and the acceleration of
the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration,
(c) string tension T₁, and (d) string tension T₂? Assume free-fall acceleration to be equal to 9.81 m/s².
(a) Number 140
(b) Number
(c) Number
1.96
(d) Number i
4.63
Units
rad/s^2
Units m/s^2
Units N
Units
Transcribed Image Text:In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.700 rad in 100 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T₁, and (d) string tension T₂? Assume free-fall acceleration to be equal to 9.81 m/s². (a) Number 140 (b) Number (c) Number 1.96 (d) Number i 4.63 Units rad/s^2 Units m/s^2 Units N Units
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