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A: For projectile motion, what quantities are constant?
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- Consider (Figure 1) Assume F = 380 N Figure 3 m 4m Part A Determine the moment of force F about point O Express the result as a Cartesian vector Enter the x, y and components of the moment of force separated by commas. Express your answers in kilonewton-meters to three significant figures. View Available Hint(s) ✓ Hint 1. Cartesian Vector Formulation for the Moment of a Force ijk Ty T. where Tz. F F F Ty, T, represent the zy, z components of the position vector drawn from O to any point on the line of action of the force, F., Fy, F represent the z. y. z components of the force vector in this problem, r, and F. components are equal to zero, since the line of action of the force lies in the z-y plane For simplicity, consider using vector r that lies on either of the axes z or y, since in that case you need only one non-zero coordinate to express its position If zy, z coordinate axes are established, then the moment equation can be written in determinant form as Mo=rx F = T₂ Mo = Submit…between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .If the velocity vector of a polar bear is u=(-18.0 i -13.0 j)km/h , how fast and in what geographic direction Is it heading? Here, and are directions to geographic east and north, respectively.
- These questions are related to the first given problem. Kindly include in the solving, thanks 1. Reaction support at point B. * O a. 6.86 KN (Upward Direction) O b. 6.86 KN (Downward Direction) O c. 7.02 KN (Upward Direction) 2. Centroid. * O a. 7.35 KN (Downward Direction) O b. 7.37 KN (Downward Direction) c. 7.35 KN (Upward Direction) O d. 7.37 KN (Upward Direction) 3. Shear force equation for segment AB. O a. 0.49KN-0. 15x2 (KN/m2) © b. 0.49KN-0.16x2 (KN/m2) O c. 0.58KN-0.18×2 (KN/m2) © d. 0.58KN-0.19x2 (KN/m2) 4. Bending moment equation for segment AB. O a.0.58x(KN)-0.16x3(KN/m2) © b.0.58x(KN)-0.26x3(KN/m2) O c.0.49x(KN)-0.07x3(KN/m2) 5. Shear force equation for segment BC. * O a.7.35KN-0. 15x2(KN/m2) O b. 7.26KN-0. 18x2(KN/m2) O c.7.28KN-0.20x2(KN/m2) O d. 7.6KN-0.19x2(KN/m2) 6. Bending moment equation for segment BC. Oa.7.35x(KN)-0.05x3(KNm2)-34.3KN.m Ob.7.26x(KN)-0.07x3(KNm2)-35.3KN.m Oc.7.28X(KN)-0.06x3(KNm2)-33.4KN.m Od.7.6x(KN)-0.08x3(KNm2)-32.4KN.m d.…Problem 1: An object is acted upon by 3 Forces (see Fig 1). If a 4th force is to be added, what must be its magnitude and direction so that the object will be in equilibrium? ION 10° 30° 15N 12.5N Fig 1. Free Body Diagram (FBD) for problem 1 250 Tム-os//newconnect.mheducation.com/flow/connect.html LS 1 x Search... 1G Saved Help Save & Exit Submit 1 Problem 04.027 Initial speed Grant jumps 2.50 m straight up into the air to slam-dunk a basketball into the net. With what speed did he leave the floor? OEm/s nts 00:06:34 Next> 1 of 3 ENG 4:44 A Prev INTL 10/12/2 A ) 2O19
- Explain projectile motion with sample equation.Small ball having a mass of 8 g fall from A at by 1 m/s through the glass tube and accumulate in the can at C. Determine the placment R (in meter) (?) of the can from the end of the tube and the speed (in m/s) (?)at which the marbles fall into the can. Neglect the size of the can. 25 m RQuestion 4 Formulate a general conclusion from the comparison between the graphical methods and the component method in calculating for resultant vectors. Also, discuss the advantages and disadvantages of each method preferably in bullet form. Use the editor to format your answer
- 4 Crop & rotate 9 Filters * Adjustments 2 Undo all A50 kg mass and a 20 kg moss are attoched by o massless wire and hang from a frictionless pulley. The 5.0 kg mass is on the left. When released, what will be the mognitude of the acceleretion of the mass on the righ? Find the tenum inthestring 5.04D 4. In the diogram at the right, a 12-kg mass is octed on by two forces. F, is the applied force and acts to Q=0.6m/s the ight. Fz is the frictional force and acts to the left. The magnitude of the forces is as shown. What is the magnitude of the acceleration of the a= 7.5 15.5 12 K mass? In the figure at the right, assume the surfoce and e palley ere frictionless. If the messes are as shown, what is the magnitude of the arcelerahon T-235N of the cart? Find the Ceroinnthesea Q-191 A Mail Mail has nIf block A is intended to move vertically at a constant rate of 5.1m/s by pulling cord at point B, determine the speed (m/s) of pulley C. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of movement of pulley C: Use U if upward and D if downward. pulleys 4.png B AMotion topic. Find the slope.