Question

2) On top of a babys crib there is a sun and moon mobile. The motor provides a 0.03 N-cm torque about the j-axis and has a terminal angular velocity of 35 RPM (rotations per minute). The moon and the sun both have a mass of 25 grams. The position vector of the moon is rn25 i-5 j] cm and the sun is rs I-25 -5 j] cm. Be very careful with your units in this problem! Be sure to write them through! Calculate how long it takes the motor to reach its terminal angular velocity. Hint: think carefully about how to find the velocity of the moon and the sun and which direction that velocity would be for each. [Ans. to check: 38.18 s a. b. s there a moment about k? If no, what would have to change so there could be a moment about k?


FBD
Use Sum M = r x mv - r x mv (final momentum - initial momentum) and polar coordinates: e sub theta, e sub r, and k directions

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Answer #1

Soluhon FBO 0.01

25 Terminal Angular Yelo(ify 5 Am : 60 0103

k rom Nwton lass of notion 60 60 There i no monent aboot as be both ung noon o 00 a Sane holgah Planc that is 5 and u Cotr sa

k rom Nwton lass of notion 60 60 There i no monent aboot as be both ung noon o 00 a Sane holgah Planc that is 5 and u Cotr sa

f hange the plane of both Soo rmoun on any one of tham thu Pexfeodiolar distanG bedulen Centrifusal ores cilu be a finite alu

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