NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Coal is discharged from the tailgate A of a dump truck with an initial velocity VA= 2 m/s at an angle of 50° as shown in the figure. 50° OO Determine the radius of curvature of the trajectory described by the coal at Point A. The radius of curvature is 9 m.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Coal is discharged from the tailgate A of a dump truck with an initial velocity VA= 2 m/s at an angle of 50° as shown in the figure. 50° OO Determine the radius of curvature of the trajectory described by the coal at Point A. The radius of curvature is 9 m.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.47P: A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the...

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4. A girl tosses a ball at an initial velocity of VA = 8 ft/s at an angle of 0 = 25°. A boy catches the ball at Point B, which is at the same height as Point A. Answer the following questions. a. What is the initial velocity of the ball in A = (VA) x² + (VA) format? Show your work. Velocity in A = (VA) x + (VA)yj format C. b. Where is the ball when it reaches its maximum height? Justify your response by describing where the ball is relative to the position of Points A & B. No math is required. Units What is known about the x- and y-components of velocity and acceleration of the ball at the maximum height? No math is required. d. If we assume that Points A & B are both 3 ft above the ground, what is the maximum total height of the ball? Show your work. Magnitude rounded to 3 sig. fig. Units
CURVILINEAR: Cheezy placed an order for 16 cubic meters of sand. The sand was ejected from a dump truck at a 50-degree angle, with an initial velocity of 2 feet per second. Calculate the radius of curvature of the trajectory at the direction point 1m below point A. with Illustration
OR Fig. 3 A robotic arm shown in Fig. 3 is programmed so that the 0.4-kg part A traces the radial path defined by r = 1–- 0.5 cos (2nt) meter and tranverse path of 0 = 0.5 – 0.2 sin (2nt) rad respectively. a) Calculate the velocity magnitude of part A at 1= 3 seconds. b) Determine the radial and transverse components of the force exerted on A by the robot jaws at 1= 2 seconds. Show the necessary Free-Body and Kinetic diagram to support your analysis.
CURVILINEAR: Cheezy placed an order for 16 cubic meters of sand. The sand was ejected from a dump truck at a 50-degree angle, with an initial velocity of 2 feet per second. Calculate the radius of curvature of the trajectory at the direction point 1m below point A.
3) Cullin is flying his private jet at a constant speed of 750 km/h while David is flying his helicopter due north. The flight attendant on Cullin's jet begins walking towards the back of the airplane as a constant speed of 4 m/s relative to the airplane. If the flight attendant observes David moving directly westward at 38 m/s, what is the velocity of the helicopter in m/s? Hint: You will need to find theta; don't forget about your ability to use dot products to simplify your equations. [Ans. to Check: VB=200.76 m/s] VB+ Ꮎ VC A C
A particle travels along the circular curve from A to B in 1 s. The particle takes 3 s to go from A to C. r C В A Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 25 m 30 degrees 02 10 degrees a. Write position vector r B as a cartesian vector. b. Write position vector rg as a cartesian vector. c. Find the average velocity V avg as a cartesian vector.
ves upward for positive velocity d. Example: Give the positions s= 7(t) of a body moving on a line, with s in meters and t In sccond. Find the body's displacement and average velocity for the given time interval. Also, find the body's speed and acceleration at the endpoints of the interval. During the given interval, wihen does the body change direction 3. s (t/4)- t+t, 0
Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. Part (a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 15 m and the downward acceleration of the car is 1.3g? Note that g here is the acceleration due to gravity. Part (b) The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. Part (c) If it actually starts 3.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose…
y A C VA B b Two particles are launched at the same time from the same location, see figure. Particle A is launched at a speed of 20 m/s at an angle a = 25 degrees. Particle B is launched at a speed of 15 m/s at an angle b = 50 degrees. What is the magnitude of the relative velocity of Particle A with respect to B at t = 1 s? Note: I would ask you the vector, but can't through this medium (online).
A cannon is fired so that a cannonball is launched with a horizontal velocity of +27.5 m/s and a vertical velocity of 14.5 m/s up. Find the resultant velocity (v and e) of the cannon ball when it is launched. Give your answer to 3 significant figures. Use 5 significant figures in any intermediate calculations. The resultant velocity is Number m/s and Number ° up from the positive axis.
Vr A camera tracks the position of a particle moving along the given path with b = 10 m. At the moment shown, the camera angle is 0 = 40°, and the camera is rotating at 0.3 rad/s, which is accelerating at a rate 0 = 0.2 rad/s². What are the radial and transverse components of velocity and acceleration at this instant? Vo = Ar 0 ao = r = b sin(20) m/s m/s m/s² m/s² =
13. For a short time, the jet plane moves along a path in the shape of a lemniscate, r2 = (2500cos 20) km². At the instant 0=30°, the radar tracking device is rotating at è =5(10-3) rad/s with ë=2(10-³) rad/s². Determine the components of the velocity and acceleration of the plane at this instant, a) in Cartesian Coordinates, b) in Normal and Tangential Coordinates, c) in Polar Coordinates. d) Also calculate the radius of curvature at the same instant. 2 = 2500 cos 20