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Question Number 86895 by Rio Michael last updated on 01/Apr/20

A small mass rest on a horizontal plat form which vibrates   vertically in simple harmonic motion with period 0.50s.  Find the maximum amplitude of the motion which allow which  allow the mass to remain in contact with the platform throughout  the motion

$$\mathrm{A}\:\mathrm{small}\:\mathrm{mass}\:\mathrm{rest}\:\mathrm{on}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{plat}\:\mathrm{form}\:\mathrm{which}\:\mathrm{vibrates}\: \\ $$$$\mathrm{vertically}\:\mathrm{in}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{motion}\:\mathrm{with}\:\mathrm{period}\:\mathrm{0}.\mathrm{50s}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{amplitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{which}\:\mathrm{allow}\:\mathrm{which} \\ $$$$\mathrm{allow}\:\mathrm{the}\:\mathrm{mass}\:\mathrm{to}\:\mathrm{remain}\:\mathrm{in}\:\mathrm{contact}\:\mathrm{with}\:\mathrm{the}\:\mathrm{platform}\:\mathrm{throughout} \\ $$$$\mathrm{the}\:\mathrm{motion} \\ $$

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