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A tape is wound round two smooth cylinders (in an tipped over S shape, 1 cylinder above the other; lower cylinder first then higher cylinder). The higher cylinder is fixed, but the lower cylinder sits in a loop formed by the tape. There is a 5kg block (attached to the bottom of the tape hanging from the higher cylinder) and the lower cylinder is 12 kg.
a/ Explain why the upward acceleration of the 5 kg block is twice the downward acceleration of the lower cylinder
b/ Find the acceleration of the 5kg block
| |o| <--higher cylinder
|o| |
......D <---5 Kg weight.
The answer is 1.225m/s²
I have no idea how they got that answer though. =S
Any suggestions?
Thank you in advance.