Oscillating plank - Amplitude

Classical Mechanics Level pending

A plank is oscillating about its center, rotating between angles θ -\theta and + θ +\theta . A cylinder is released on this plank when it is at θ -\theta and starts rolling down the plank. The oscillation of the plank causes the cylinder to oscillate with amplitude A A along the plank.

When happens to A A if θ \theta is doubled?

Assume that the cylinder never loses contact with the plank.

A A stays the same A A decreases A A increases

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