Q1) A team of engineering students designs a medium-size catapult which launches 8-lb steel spheres. The launch speed is vo = 80 ft/sec the launch angle is 0 = 35° above the horizontal, and the launch positionis 6 ft above ground level. The students use an athletic field with an adjoining slope topped by an 8-ft fence as shown. Determine: (a) the x-y coordinates of the point of first impact. (b) the time duration of the flight. (c) the maximum height h above the horizontal field attained by the ball. (d) the velocity (expressed as a vector) with which the projectile strikes the ground vo = 80 ft/sec fence 8° 18 = 35° 20 -100- 30

Q1) A team of engineering students designs a medium-size catapult which launches 8-lb steel spheres. The launch speed is vo = 80 ft/sec the launch angle is 0 = 35° above the horizontal, and the launch positionis 6 ft above ground level. The students use an athletic field with an adjoining slope topped by an 8-ft fence as shown. Determine: (a) the x-y coordinates of the point of first impact. (b) the time duration of the flight. (c) the maximum height h above the horizontal field attained by the ball. (d) the velocity (expressed as a vector) with which the projectile strikes the ground vo = 80 ft/sec fence 8° 18 = 35° 20 -100- 30

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

1. Fig. 1 Shows an aerofoil cutting mechanism which has a laser cutting device located at point E - the path traced out by this point corresponds to the required aerofoil shape. The laser device can be considered as a point mass of 20kg at E. The other links can be assumed massless and you can ignore forces due to gravity in your analysis. The crank CD is driven at a constant angular velocity, wo, If = 10 rad/s show that in the position shown the x and y components of acceleration at point E are respectively: fex = 178.4 m/s² (to the right); fey = 30.6 m/s² (upwards): (a) (i) Hence, determine the force acting on link EBC at B due to link AB (FB) (ii) Show by means of clearance diagrams the direction of the forces at B and A (b) (c) (d) Determine the X and Y components of the force acting on link EBC at C due to the crank (Fcx, Fcy) Determine the torque, T, input or output due to the acceleration of the laser device at this instant. Determine the resultant force acting on the bearing at…
2. Projectile Motion - D(ais)ynamics (12) The cat Daisy (pictured to the left) enjoys sitting on her cat tree where she can both figuratively and literally look down on her family. To reach the top, she first jumps from the floor to the first platform 3.5 ft above her in an arc shown to the right. If she jumps with a launch velocity = 15.5 ft/s at an angle 0 = 85°, confirm that she reaches the top of the platform drawn before %3D va = the peak of her jump. How far back from the platform, d, must she jump from so that her peak coincides with the edge of the platform? 3.5ft Va
Otne A stone is thrown vertically upward from the ground with a velocity of t per sec. One second later another stone is thrown vertically upward with a tame level? oity of 193.2 ft per sec. Aiter
solve a and b asap a)A projectile is launched from Earth’s surface at 7.2 km/s. At the top of its trajectory its speed is 1.1 km/s. What is its height (in km) at this time? b)The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical at the highest point in the motion of a 40 kg mass child, Alice. A second child, Bobby, pushes Alice each time she reaches him, at her highest point, doing 32.6 J of work. What angle (in degrees) will Alice's swing ropes make after 5 swings?
Activity 3. A man threw a piece of stone and hit a bird perched on top of a pole. A stone was thrown at P with a velocity of 24 m/s. If the pole is 14 m high and P is 1.5 m from the ground and 6.7 m from the pole, at what angle did the stone leave the man's hand? (Draw the figure) (Ans. 0, = 65.26° ; value of 0 as in your figure) (Ans. 02 = 86.27° ; value of 0 where the stone was falling down when it hit the bird)
P:0. O ZAVO a ll Asiacell HW3.pdf > HW3. Due date: Mid night of 4 March 2021 Q1) The concrete pier P is being lowered by the pulley and cable arrangement shown. If points A and B have velocities of 0.4 m/s and 0.2 m/s, respectively, compute the velocity of P, the velocity of point C for the instant represented, and the angular velocity of the pulley. 100 mm 200 mm Q2) The slotted arm pivots about O and maintains the relation between the motions of sliders A and B and their control rods. Each small pivoted block is pinned to its respective slider and is constrained to slide in its rotating slot. Show that the displacement x is proportional to the reciprocal of y. Then estab- lish the relation between the velocities va and eg. Also, if v, is constant for a short interval of motion, determine the acceleration of B. Q3) 16-45. Determine the velocity of rod R for any angle 6 of the cam C if the cam rotates with a constant angular velocity a. The pin connection at O does not cause an…
In the figure, if the time of flight (from a to b) is equal to 0.20sec. then the height H=. . cm ......... ramp projectile Path Table Top :Select one а. 25cm b. 20cm С. 45cm d. 30cm Plumb Line
Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 29 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.15 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. a. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)
(a) A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153 clockwise from north, with elevation 2.20 km. (i) Write the position vector for the ship relative to the plane, letting i represent east, north, and k up-direction. (ii) How far apart are the plane and ship? (b) Define cross-product. Outline any two examples of the use of cross-product in our daily life?
1. A balloon is rising with a velocity of 2 m/s when a bag of sand is released. If the height at the time of release is 120 m, how long does it take the bag of sand to reach the ground? 2. A rocket car moves along a straight track according to the equation x = 3t° + t+ 2, where x is in feet and t is in seconds. Determine the a.) displacement, b.) velocity, and c.) acceleration when t = 4S. d.) What is the average acceleration during the fifth second? 6Vs. When t=2s its 3. A particle moves along a horizontal straight line with an acceleration a = displacement is s = 27 ft and its velocity v = 27 ft/s. Calculate the a.) velocity and b.) acceleration of the point when t= 4s.
Very very urgent. Point C is the starting point of the ski and landing track and the landing track is built with a horizontal inclination of 30 degrees. Point A is the beginning of the ski jump point and is 4 m high from point C. The function of the sloping part of the jump run starting from point A is x = sqrt (h-y) Note: Ignore air resistance and friction in all questions. h: Runway height (height between A and B points) Skier's weight: 34 kg Calculate the reaction forces from the ground when the skier travels 1m horizontally after leaving point A from the standing state.
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