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Category: Mechanics

Question-135405

Question Number 135405 by muhammadabdallah last updated on 12/Mar/21 Commented by mr W last updated on 13/Mar/21 $${you}\:{should}\:{tell}\:{what}\:{you}\:{are}\:{talking} \\ $$$${about}. \\ $$$${i}\:{guess}\:{you}\:{are}\:{talking}\:{about}\:{the} \\ $$$${period}\:{of}\:{a}\:{torsion}\:{pendulum}.\:{then} \\…

Find-the-x-component-and-y-component-of-a-25N-force-acting-at-210-angle-

Question Number 69846 by Rio Michael last updated on 28/Sep/19 $${Find}\:{the}\:{x}−{component}\:{and}\:{y}−{component}\:{of}\:{a}\:\mathrm{25}{N}\:{force}\:{acting}\:{at}\:\mathrm{210}°\:{angle} \\ $$ Answered by MJS last updated on 28/Sep/19 $$\begin{pmatrix}{\mathrm{25cos}\:\mathrm{210}°}\\{\mathrm{25sin}\:\mathrm{210}°}\end{pmatrix}=\begin{pmatrix}{−\frac{\mathrm{25}\sqrt{\mathrm{3}}}{\mathrm{2}}}\\{−\frac{\mathrm{25}}{\mathrm{2}}}\end{pmatrix}\:\approx\begin{pmatrix}{−\mathrm{21}.\mathrm{6506}}\\{−\mathrm{12}.\mathrm{5}}\end{pmatrix} \\ $$ Commented by…

A-plane-is-travelling-at-500km-hr-eastward-wind-blows-at-90km-hr-southward-find-the-velocity-and-direction-if-the-plane-rlative-to-the-ground-

Question Number 69847 by Rio Michael last updated on 28/Sep/19 $${A}\:{plane}\:{is}\:{travelling}\:{at}\:\mathrm{500}{km}/{hr}\:{eastward}. \\ $$$${wind}\:{blows}\:{at}\:\mathrm{90}{km}/{hr}\:{southward}. \\ $$$${find}\:{the}\:{velocity}\:{and}\:{direction}\:{if}\:{the}\:{plane}\:{rlative}\:{to}\:{the}\:{ground}. \\ $$ Answered by MJS last updated on 28/Sep/19 $$\begin{pmatrix}{\mathrm{500}}\\{\mathrm{0}}\end{pmatrix}+\begin{pmatrix}{\mathrm{0}}\\{−\mathrm{90}}\end{pmatrix}=\begin{pmatrix}{\mathrm{500}}\\{−\mathrm{90}}\end{pmatrix}…

The-acceleration-of-a-particle-moving-in-a-straight-line-is-defined-as-a-6t-20-m-s-2-where-t-is-in-seconds-Knowing-that-s-0m-when-t-3s-and-that-t-5sec-when-v-2m-s-Determine-the-total-distance-trav

Question Number 69827 by Learner-123 last updated on 28/Sep/19 $${The}\:{acceleration}\:{of}\:{a}\:{particle}\:{moving} \\ $$$${in}\:{a}\:{straight}\:{line}\:{is}\:{defined}\:{as}\:{a}=\mathrm{6}{t}−\mathrm{20} \\ $$$${m}/{s}^{\mathrm{2}} ,\:{where}\:{t}\:{is}\:{in}\:{seconds}.\:{Knowing} \\ $$$${that}\:{s}=\mathrm{0}{m}\:{when}\:{t}=\mathrm{3}{s}\:{and}\:{that}\:{t}=\mathrm{5}{sec} \\ $$$${when}\:{v}=\mathrm{2}{m}/{s}.\:{Determine}\:{the}\:{total} \\ $$$${distance}\:{travelled}\:{when}\:{t}=\mathrm{11}{s}. \\ $$ Answered by…