College Physics
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Transcribed Image Text:In the figure, two 6.80 kg blocks are connected by a massless string over a pulley of radius 2.20 cm and rotational inertia \(7.40 \times 10^{-4} \, \text{kg} \cdot \text{m}^2\). 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 1.30 rad in 107 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 \(T_1\), and
(d) string tension \(T_2\)?
Assume free-fall acceleration to be equal to \(9.81 \, \text{m/s}^2\).
**Diagram Explanation:**
The diagram shows a pulley attached to a fixed horizontal surface with two blocks of 6.80 kg each. The massless string connects the two blocks, passing over the pulley. The string tension is represented with symbols \(T_1\) and \(T_2\).
**Questions:**
(a) Provide the number and units for the magnitude of the pulley's angular acceleration.
(b) Provide the number and units for the magnitude of either block's acceleration.
(c) Provide the number and units for string tension \(T_1\).
(d) Provide the number and units for string tension \(T_2\).
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