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Category: Mechanics

Question-60697

Question Number 60697 by ajfour last updated on 24/May/19 Commented by ajfour last updated on 24/May/19 $${How}\:{far}\:{can}\:{the}\:{slider}\:{slide}\:{if}\:{it} \\ $$$${ejects}\:{mass}\:{at}\:{rate}\:\frac{{dM}}{{dt}}\:=\:{R}\:,\:{at}\:{a} \\ $$$${relative}\:{speed}\:{u}\:?\: \\ $$$$\left(\frac{{M}_{\mathrm{0}} }{\mathrm{2}}\:\:{of}\:{M}_{\mathrm{0}} \:{doesn}'{t}\:{burn}\:{and}\right.…

Question-60133

Question Number 60133 by ajfour last updated on 18/May/19 Commented by ajfour last updated on 18/May/19 $$\mathrm{Find}\:\mathrm{angle}\:\alpha\:\mathrm{when}\:\mathrm{m}\:\mathrm{separates} \\ $$$$\mathrm{from}\:\mathrm{M}.\:\left(\mathrm{m}\:\mathrm{slides}\:\mathrm{down}\:\:\mathrm{from}\:\mathrm{top}\right. \\ $$$$\mathrm{of}\:\mathrm{M}\:,\:\mathrm{motion}\:\mathrm{being}\:\mathrm{initiated} \\ $$$$\left.\mathrm{somehow}\:\mathrm{with}\:\mathrm{a}\:\mathrm{slight}\:\mathrm{impulse}\right). \\ $$…

A-massless-spring-with-a-spring-constant-K-10Nm-1-is-suspended-from-rigid-support-carries-a-mass-m-100g-at-it-lower-end-the-system-is-subjected-to-resistive-force-pv-it-observed-that-the-system-o

Question Number 190962 by Spillover last updated on 15/Apr/23 $$\mathrm{A}\:\mathrm{massless}\:\mathrm{spring}\:\mathrm{with}\:\mathrm{a}\:\mathrm{spring}\:\mathrm{constant} \\ $$$$\mathrm{K}=\mathrm{10Nm}^{−\mathrm{1}} \:\mathrm{is}\:\mathrm{suspended}\:\mathrm{from}\:\mathrm{rigid}\:\mathrm{support} \\ $$$$\mathrm{carries}\:\mathrm{a}\:\mathrm{mass}\:\mathrm{m}=\mathrm{100g}\:\mathrm{at}\:\mathrm{it}\:\mathrm{lower}\:\mathrm{end} \\ $$$$\mathrm{the}\:\mathrm{system}\:\mathrm{is}\:\mathrm{subjected}\:\mathrm{to}\:\mathrm{resistive}\:\mathrm{force} \\ $$$$−\mathrm{pv}.\mathrm{it}\:\mathrm{observed}\:\mathrm{that}\:\mathrm{the}\:\mathrm{system}\:\mathrm{oscillates} \\ $$$$\mathrm{and}\:\mathrm{its}\:\mathrm{energy}\:\mathrm{to}\:\mathrm{one}\:\mathrm{third}\:\mathrm{of}\:\mathrm{it}\:\mathrm{initial}\:\mathrm{value} \\ $$$$\mathrm{in}\:\mathrm{one}\:\mathrm{and}\:\mathrm{half}\:\mathrm{minutes}\:\mathrm{calculates}\:\mathrm{the}\: \\ $$$$\mathrm{value}\:\mathrm{of}\:\:\mathrm{p}…