Question Number 166904 by MathsFan last updated on 01/Mar/22
$${A}\:{pendulum}\:{has}\:{a}\:{period}\:\mathrm{2}{sec}.\:{The} \\ $$$${bob}\:{pulled}\:{aside}\:{a}\:{distance}\:\mathrm{8}{cm}\:{as} \\ $$$${the}\:{amplitude}\:{and}\:{release}.\:{Find}\:{the} \\ $$$${displacement}\:{of}\:{the}\:{bob}\:\mathrm{0}.\mathrm{7}{sec}\:{after} \\ $$$${it}\:{has}\:{been}\:{released}. \\ $$
Answered by mr W last updated on 02/Mar/22
$$\omega=\frac{\mathrm{2}\pi}{{T}} \\ $$$${s}\left({t}\right)={A}\:\mathrm{cos}\:\omega{t}={A}\:\mathrm{cos}\:\frac{\mathrm{2}\pi{t}}{{T}} \\ $$$${s}\left(\mathrm{0}.\mathrm{7}\right)=\mathrm{8}\:\mathrm{cos}\:\frac{\mathrm{2}\pi×\mathrm{0}.\mathrm{7}}{\mathrm{2}}=−\mathrm{4}.\mathrm{7}\:{cm} \\ $$
Commented by MathsFan last updated on 02/Mar/22
$${thank}\:{you}\:{boss} \\ $$