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Category: Mechanics

A-mass-oscillating-on-a-spring-has-amplitude-of-1-2m-and-a-period-of-2-0s-a-Deduce-the-equation-for-the-displacement-x-if-the-timing-starts-at-the-instant-where-the-mass-has-its-maximum-displacement

Question Number 31144 by NECx last updated on 03/Mar/18 $${A}\:{mass}\:{oscillating}\:{on}\:{a}\:{spring} \\ $$$${has}\:{amplitude}\:{of}\:\mathrm{1}.\mathrm{2}{m}\:{and}\:{a} \\ $$$${period}\:{of}\:\mathrm{2}.\mathrm{0}{s}. \\ $$$$\left({a}\right){Deduce}\:{the}\:{equation}\:{for}\:{the} \\ $$$${displacement}\:{x}\:{if}\:{the}\:{timing}\:{starts} \\ $$$${at}\:{the}\:{instant}\:{where}\:{the}\:{mass} \\ $$$${has}\:{its}\:{maximum}\:{displacement}. \\ $$$$\left.{b}\right){calculate}\:{the}\:{time}\:{interval} \\…

Question-30984

Question Number 30984 by rahul 19 last updated on 01/Mar/18 Commented by ajfour last updated on 03/Mar/18 $${Balancing}\:{torque}\:{about}\:{B}\: \\ $$$${Rl}−{mg}\left(\frac{\mathrm{2}{l}}{\mathrm{3}}\right)=\mathrm{0} \\ $$$$\Rightarrow\:\:\:\boldsymbol{{R}}=\frac{\mathrm{2}\boldsymbol{{mg}}}{\mathrm{3}}\:\:\:\:\:\:\Rightarrow\:\:\:\boldsymbol{{n}}=\mathrm{2}\:\:\:. \\ $$ Commented…

A-boy-can-swim-with-a-speed-of-26m-s-in-still-water-He-wants-to-swim-across-a-150m-river-from-a-point-A-to-point-B-which-is-directly-opposite-the-other-side-of-the-river-The-river-flows-with-a-speed-

Question Number 30738 by NECx last updated on 25/Feb/18 $${A}\:{boy}\:{can}\:{swim}\:{with}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{26}{m}/{s}\:{in}\:{still}\:{water}.{He}\:{wants}\:{to} \\ $$$${swim}\:{across}\:{a}\:\mathrm{150}{m}\:{river}\:{from} \\ $$$${a}\:{point}\:{A}\:{to}\:{point}\:{B}\:{which}\:{is}\: \\ $$$${directly}\:{opposite}\:{the}\:{other}\:{side} \\ $$$${of}\:{the}\:{river}.{The}\:{river}\:{flows}\:{with} \\ $$$${a}\:{speed}\:{of}\:\mathrm{10}{m}/{s}. \\ $$$$\left.{i}\right){if}\:{he}\:{always}\:{swim}\:{in}\:{the}\: \\…