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- Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?cle final answer lo Name towano ipali s 6. A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8 cost, where t is in second and x in centimeter. a. equilibrium position www. 0 heb erit bail ol Find the velocity (magnitude and direction) of the 2π/3. mass at time t = (Positive direction is to the right.) XELS XUS b. Describe in words what is going on to the mass. - What direction is it moving? - Is it speeding up or slowing down? 7. Find the derivative of the function. Simplify as much as possible. f(x) = sin(x) cos(1-x²) 2=175 f.(x f(x) fcall a SApps Bookmarks pls.skillport.com U Registration/Login... Ú UltiPro U UltiPro Registration/Login. 0email TransNational Bank. magnitude 111.51 direction to the left Need Help? Talk to a Tutor Read It -/1 points V SERPSE8 23.P.010. A My Notes Ask Your Teacher V Two small metallic spheres, each of mass m = 0.192 g, are suspended as pendulums by light strings of length L as shown in the figure below. The spheres are given the same electric charge of 7.7 nC, and they come to equilibrium when each string is at an angle of e = 4.65° with the vertical. How long are the strings? L. т т Need Help? Talk to a Tutor Read It 1:37 AM 6) 3/24/2020 acer Pause Print Scm SYSRQ Scroll Lock F12 F10 F11 Break F8 F5 F6 F3 Page Up Num Lock Backspace Insert Home Page Down Delete End A WARNING Enter To reduce risk of serious injury read Safety & Comfort Guide provided with product and at www.hp.com/ergo TShift End Ctri Alt pmall 00 5.
- 97 PROBLEMS 2-45. Describe how to determine whe ther an equilibrium is stable or unstable when (dUdx),0. 2-46. Write the criteria for determining whether an equilibrium is stable or unstable when all derivatives up through order n, (d" U/ dx ") 0. 247. Consider a particle moving in the rCrionThe planet Venus orbits the Sun in periodic motion (as yearly motion) and simultaneously spins about its axis (as diurnal motion). Venus has a (yearly) period of orbit of 225 days and a (diurnal) period of rotation of 243 days. So for Venus inhabitants, a day would last longer than a year! Determine the frequency of orbit and the frequency of rotation (in Hertz) on Venus. O For yearly motion 5.1 x 108 Hz, For diurnal motion — 4.8 х 108 Hz, O For yearly motion + 1.7 x 108 Hz, For diurnal motion 1.8 x 10-8 Hz, O For yearly motion → 2.5 x 106 Hz, For diurnal motion + 1.8 х 107Hz, O For yearly motion → 4.3 x 107 Hz, For diurnal motion → 48.0 x 10-7 Hz,Need some assistance with this. l = 1.95 mm. w= 1.89 mm. h= 5.82 m. Coordinates for Point A is A(2,2,2)m Coordinates for Point D is D(2.25,2.5,0)m Force F acts along EA, (Magnitude is 55N) Force P acTS along AD 4. What is BC as position vector rBC. ( rBCx, rBCy, rBCz ) 5. What is BC as unit vector uBC. (uBCx, uBCy, uBCz ) 6. What is the moment that F creates around B ? (MB) 7. What is the magnitude of the moment that F creates around axis BC. ( |MBC| )
- 7. The Lagrangian of a particle of moving in dimension is given by: mass one m x - b x Where b is a positive constant. The coordinate of the particle x (t) at a time t is given by: b А. t? + C, t + C2 В. С, t + Cz bt bt C. C, Cos () + C2 Sin () D. C, Cosh () + Sinh () т m bt bt m т For your solution in question seven, show how you got it. All steps must be clearly shown and justified(periodic and rectilinear/periodic on of a child on a swing iS and oscillatory) .(rectilinear and 5. Motion of a bicycle wheel is a combination of oscillatory/rectilinear and rotational) C State whether the following statements are True (T) or False (F). 1. The SI unit of length is kilometre. 2. Pace or a footstep can be used as a standard unit of length. B. Motion is the change in position of an object with respect to time. 1. The motion of the minute hand of a clock is oscillatory. E A group of soldiers marching during guard of honour depicts periodic motion. O Give one word for each of the following. Which one of the following is the smallest unit of length? 1 kilometre, 1 millimetre, 1 centimetre, 1 metre John's school is 2850 m away from his house. Express this distance in kilometres. What is the unit of length in the FPS system? Name any device used to measure length. Answer the following questions briefly. Why do we nond cton UU UDIAn oscillator makes 322.1 oscillations in 4.255 minutes. What is the period of the oscillator? An oscillator makes 8231 vibrations in one second. What is its period?
- A 1.75 kg particle moves as function of time as follows: x = 4 cos(1.33t+) Where distance is measured in meters and time in seconds. What is the maximum velocity of this particle? Oa. None of the choices Ob. 7.07 c. 0.63 Od. 1.33 Oe. 5.32QUESTION 5 1-The following equation refers to V-pendulum experiment: Y=-14X+15 and T4 Tª = (4лª L k/ g² )–(8 µªL / g² )d, where : TU L: length of the string (2 meters). T: pendulum periodic time d: distance between rods k: pendulum constant g: gravitational acceleration find the periodic time (T) if the distance equal (1) meter. 2.01 s 0.9 S 1.17 s 1 sGiven A=25mm,=65 rad/s and Ø = π/4 radians.calculate the following: a.frequency in HZ (numbers only)b.the periodic time in ms(millsecond)(numbers only)c.the displacement whent t=T/5.In m meters (numbers only)d.The velocity when t=T/5 in m meter/second (numbers only)e.The acceleration when t=t/6 in m/s^2 meter second^2 (numbers only)