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- In which direction clockwise or counterclockwise will pulley 1 rotate if pulley 2 rotates in the clockwise direction? a barrow_forwardA two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity (2=4). Find a formula giving the angular velocity of the fourth gear, 2, in terms of 1 and the values of n1,n2,n3andn4.arrow_forwardFor the vector v=(3,2), sketch a 4v, b 12v, and c 0v.arrow_forward
- 1. A pilot is heading his plane N 76 W at an airspeed of 950km/h, while wind is blowing in the direction N 10°E at 75km/h. At what speed is he traveling, änd in what direction relative to the ground? You must draw a clear vector diagram.arrow_forwardTwo rescue vessels are pulling a broken-down motorboat toward a boathouse with forces of 840 lbs. and 960 lbs. The angle between these two forces is 24.5°. Determine the angle between the resultant vector and the 840-lb force (x). Find the magnitude and direction ( e) of the equilibrant. r = r =₁ x=1 8=₁ -r :: cos(24.5°) (840)² + (960)² - 2(840)(960) :: 400 lbs :: 1790 lbs e :: 77 :: 169 O 840 lbs 960 lbs. :: cos(167.75°) :: 1759 lbs :: 11° :: 139 :: 103° :: 167 :: cos(155.5°) Oarrow_forwardSuppose a car is traveling at 50 km/hr, and that the positive y-axis is north and the positive x-axis is east. Resolve the car's velocity vector (in 2-space) into components if the car is traveling in each of the following directions. The units are km/hr, but you do not need to enter units. 1. East: 2. South: 3. Southeast: 4. Northwest:arrow_forward
- A sailboat floats in a current that flows due east at 9 m/s. Due to a wind, the boat's actual speed relative to shore is 9/3 m/s in a direction 30° north of east. Find the speed and direction of the wind. Let c represent the current; this means that c| is the speed of the moving water and c points in the direction of the moving water. Assume that the vector w gives the speed and direction of the wind and the vector v, gives the speed and direction of the sailboat relative to the shore. Which equation below represents w in terms of c and v,? O A. w=Vg + C O B. w=vg - c O C. w=Vg O D. w=vg -2•c The speed of the wind is V in the direction ofarrow_forwardIn this lab you will be given some values for a vector and will need to determine the missing values. Then, you will test your answers using one of the force tables. All angles need to be in the range from 0° to 360°, where 0° points along the positive x-axis, 90° points along the positive y-axis, 180° points along the negative x-axis, and 270° points along the negative y-axis. For the vector -A, the negative of a vector is antiparallel to the vector itself. Hi I need help trying to figure out question 3a and 4a.arrow_forwardIn this lab you will be given some values for a vector and will need to determine the missing values. Then, you will test your answers using one of the force tables. All angles need to be in the range from 0° to 360°, where 0° points along the positive x-axis, 90° points along the positive y- axis, 180° points along the negative x-axis, and 270° points along the negative y-axis. For the vector -A, the negative of a vector is antiparallel to the vector itself. Set Ax Ay Magnitude of A Angle of A Angle of -A la 35 25 43 35.54 35.54 1b 46 -30 54.92 326.89 1c -26 -47 53.71 241.05 1d -50 50 70.71 135 2а 103.4 18.2 105 10° 2b -92.87 127.82 158 126° 2с -14.86 -121.09 122 263° 2d 105.27 -134.75 171 308° За 67 20° 3b -100 198° 3c -87 139° 3d 82 341° 4a 89 145° 4b -72 247° 40 75 13° 4d -57 343°arrow_forward
- Please answer this and show your solutions on paper. I will give you a very good feedback. on paper please :( ON PAPER PLEASE ! ON PAPER !arrow_forwardThe minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)arrow_forward5. Find the vector that has magnitude 8 and the same direction as vector .arrow_forward
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