A uniform solid cylinder of mass \( 2 \mathrm{~kg} \) and radius \( 0.2 \mathrm{~m} \) is releas...

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A uniform solid cylinder of mass \( 2 \mathrm{~kg} \) and radius \( 0.2 \mathrm{~m} \) is released from rest at the top of a semicircular track of radius \( 0.7 \mathrm{~m} \) cut in a block of mass \( M=3 \mathrm{~kg} \) as shown in figure. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping.
Based on the above information, answer the following questions:
The distance moved by the block when the cylinder reaches the bottom of the track is
(1) \( 0.3 \mathrm{~m} \)
(2) \( 0.5 \mathrm{~m} \)
(3) \( 0.7 \mathrm{~m} \)
(4) \( 0.2 \mathrm{~m} \)
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