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Exam3Solution

# Exam3Solution - 1 What is the torque on the object in the...

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Unformatted text preview: 1. What is the torque on the object in the picture shown below, calculated about the origin. x and y are the respective coordinates and r is the distance from the origin. F is the applied force _: 4 NJ T: fo /f’/: 7/: ,L A. Fx ,_ .Fy : Pg CFr D. Fx+Fy E. None of the above 2. A disk of radius R = 50 cm and mass M = 500g is rotating uniformly at the rate of 10 radian per second. A clump of putty is dropped at a point 40 cm from the center of the disk and it sticks with the disk. What is the angular speed of the disk after dropping the “”11?“pr a/mass Dbl fwiﬁfy, 4n :— 370% A. 1.5rad/s B. 2.9rad/s I“) ‘ z I 00 C. 7.6rad/s l 1 7C F D. Orad/s ,, @22md/s 9 ”76' = 53a), .175 2. r 3%,.» W :QL/iv/eawﬁr'L ./ Z _ fxag’xQ‘A) 2C /0 . “Z .L x or xQ-x’) 1+ dual/x04 £2 :: qz fW/J‘ 3. The image below shows a beam in static equilibrium. What are the magnitudes of forces F1 and F2? E 6:: 0 10“ F1 6" f0/1/«20A/71—F7 7164/43; :0 M F2 :9 5‘252: 49V ~(D L/4 L/4 L/4 L/4 ,. 5 27:: w- ,- . 3' ,. 07‘ WevL are +K-ﬁ—5L—0 A. F1=6N,F2=2N ﬂ, 2 B. F1=3N,F2=7N (ﬁg/a? m WM C. F1=7N,F2=3N Wrﬂmmpwciﬁ/ D. F; = 121v, F2 =8N MAME”) E. F1=-3N,Fz=7N V_ 5L 7L. 1.. l—Z‘FZ i 4. Mass and radius of the Moon are respectively '17.36x1022 kg and 1740 km. What is the acceleration of free fall of an object on the Moon? What is the escape speed from the Moon? r 2; 1; iiiiifaﬂi’m g; — 4M _ 66 72cm ”X75000 C. 1.6m/32,2.4km/ ' "E ’ . . . D. 3.2m/s2,11.2anI/s R (WINDOW) 2" E. 1.6m/sz,1.2km/s /‘ V/’_—’/ % =\/2.._.—M :. ZQLM . R RZ K :Y'ZQLR : VW 5. The position of a particle undergoing simple Harmonic motion is described by x(t)==(4 m) sin(0.51ts“t). The period of the motion and the maximum speed of the particle are. A. 4s,2m/s a) : 0‘5-IT B. 2s,0.5m/s 1.6s,8m/s T- QW‘ _ 0??! r [7! 4 é4s,6.3m/S _, 7 ‘ 25-5» -'— ' . 23,5m/s 7 6. In the ﬁgure shown below, mass and length of the string are: m = 100g, L = 50 cm. The attached mass is M = 2 kg. The string is gently plucked to create a transverse wave (assume that the suspended mass is almost ﬁxed and does not vibrate). At what speed does the wave travel along the string? A. Eno flinf mation is not provided 7. A stretched string is under a tension of SON and has linear mass density of 0.50 kg/m. If you create a transverse sinusoidal wave of frequency 100 Hz of amplitude 5 mm along the string, what is the average rate at which the wave transports energy? ’24.7W ,, 12". \$33 7: : 50M C ﬂaw/HA9 D. 3.9W - E. 52W /A: ﬂ‘J‘ }%&/4’Vv I A; 0&6?wa 7C: mom} z) 5022/77”: 200/7 I’M/a. 8. For a certain transverse wave, the distance between two successive crests is 1.20 m and eight crests pass a given point along the direction of the wave every 12.0 seconds. What is the wave speed? A. 1.60%; X; /~ 2% .1.80m/3 /1%-~’E' D. zoom/f . c/ 5? E. 1.75m A. _. / l- g 7i - r” , Ha» T 31 9. A cyclist hears a car alann while he was going along the sidewalk. The car is parked in a parking lot just attached to the sidewalk. He has a device that can measure the sound frequency. He measures a frequency of 560 Hz while cycling toward the car and measures a frequency of 520 Hz while going away. What is his speed? Take speed of sound in air to be 343 m/s. \$5,251,”; r”: 5:12 7; @Prmif) C. 1.30m/s (ml—0 D 12.7m/s . .343m/s y”: U‘_V“c77[\ ’U’ / _> i _. mm; GEM ‘ but); [16: ﬂ :1 w 926 ' ’U‘ l2; If 0 /3v +4500 : warn/W3 ‘9th ' U’: U‘FLCFBﬁ- 7 D a > 0" a2? ’ :27": l2'7’JI/é- => 10. Typical sound intensity of a nearby jet plane is 1000 W/mz. What is the sound level of this sound in decibel (dB)? L gist ,6 w ,_ .15 : '5 . -— . . o m _ a 23;; _ / @6339; WM) Bonus: 1. A sphere has radius 20 cm and mass of 3 kg. What is its moment of inertia about a point on its surface? ﬂ ’; 20 [m : 0‘2. W {ﬁe/Mew 2. Intensity of sound from a point source at a distance of 4 m is 0.707 W/m2. What is the intensity at a distance of 10 m? What is the sound level at 10 m? I c>< 3g?” IN '9 ) _ Zm .— I 4 Q: L J) 4 /o ‘ 0 707 Kg 69: 0 //3 [Wm ...
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