Recitation Worksheet G Solutions

# Recitation Worksheet G Solutions - Worksheet G: Free-body...

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Worksheet G: Free-body diagrams 1. A 30-mg spider hangs from two threads from the ceiling as shown below. a. Find the tension on each thread. 21 12 : cos30 cos 40 0 sin 40 sin 30 0 xT T yT T m g °− °= °+ = 2 equations with 2 unknowns (T 1 , T 2 ) 11 1 62 2 cos 40 cos 40 sin 40 sin 30 sin 40 cos 40 tan 30 (30 10 kg)(9.8 m/s ) 0.27 mN sin 40 cos 40 tan 30 cos 40 (0.27 mN) 0.24 mN TT m g mg T T ° = ° ° ° = ° ° × == ° ° ° ° b. The ceiling happens to be the ceiling of an elevator that starts moving up with an acceleration of 2.5 m/s 2 . Find the new tensions on the threads. The free-body diagram is the same, but now the acceleration in the vertical direction is not zero: cos 40 0 sin40 sin30 T T m gm a = 40 ° 30 ° x y mg T 1 T 2

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(Worksheet G) The algebra is almost the same: () 21 11 1 62 2 cos 40 cos30 cos 40 sin 40 sin 30 sin 40 cos 40 tan 30 (30 10 kg)(12.3 m/s ) 0.34 mN sin 40 cos 40 tan 30 cos 40 (0.34 mN) 0.30 mN cos30 TT m g a mg a T T ° = ° ° °+ °= + ° + = ° ° × == ° ° ° °
(Worksheet G) 2. Two blocks of masses m 1 = 5.0 kg and m 2 = 2.0 kg hang on both sides of an incline,
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## This homework help was uploaded on 03/27/2008 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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Recitation Worksheet G Solutions - Worksheet G: Free-body...

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