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Texas A&M University

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Problem 54 Easy Difficulty

A system consists of two particles. At $t=0$ one particle is at the origin; the other, which has a mass of 0.50 $\mathrm{kg}$ , is on the $y$ -axis at $y=6.0 \mathrm{m}$ . At $t=0$ the center of mass of the system is on the $y$ -axis at $y=2.4 \mathrm{m} .$ The velocity of the center of mass is given by $\left(0.75 \mathrm{m} / \mathrm{s}^{3}\right) t^{2} \hat{\mathrm{i}}$ , (a) Find the total mass of the system. (b) Find the acceleration of the center of mass at any time $t$ . (c) Find the net external force acting on the system at $t=3.0 \mathrm{s} .$

Answer

(a) $M=1.25 \mathrm{kg}$
(b) $\overrightarrow{\mathrm{a}}_{\mathrm{cm}}=1.5 \mathrm{tm} / \mathrm{s}^{3}$ i
(c) $\sum \overrightarrow{\mathrm{F}}_{\text { ext }}=5.625$ iN

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Video Transcript

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