Q4 2. A ball is launched with an initial velocity ofVo = 4.5 m/s from point P at a 30° sloped surface withan angle of 0. The ball lands at point B, which is 0.6m higher than point A. Determine the launch angle 0of the ball, the impact velocity at B (vB), the angle vgmakes with the horizontal and the duration of theflight. Also determine the radius of curvature of thepath and the rate of change of the speed of the ball atpoint C, where its trajectory makes an angle of 60°with the negative x-axis. g 9.81 m/s-. y ;600.6 m30

Given Data: The initial velocity of the ball is V0 = 4.5 m/s. The angle of launch is θ The slope of…

Q4 2. A ball is launched with an initial velocity of Vo = 4.5 m/s from point P at a 30° sloped surface with an angle of 0. The ball lands at point B, which is 0.6 m higher than point A. Determine the launch angle 0 of the ball, the impact velocity at B (vg), the angle vB makes with the horizontal and the duration of the flight. Also determine the radius of curvature of the

Q4 2. A ball is launched with an initial velocity of Vo = 4.5 m/s from point P at a 30° sloped surface with an angle of 0. The ball lands at point B, which is 0.6 m higher than point A. Determine the launch angle 0 of the ball, the impact velocity at B (vg), the angle vB makes with the horizontal and the duration of the flight. Also determine the radius of curvature of the

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

A projectile is launched straight down an inclined plane as shown in he figure below. Show that the greatest downhill range (the distance from the initial position to the point where the projectile hits the ground) is achieved when the initial velocity vector bisects the angle ZAOR between the vertical line and the plane. Vertical NO Hill R
The man stands 18 m from the wall and throws a ball at it with the speed of 15 m/s as shownin Figure Q2. He release the ball at an angle of  = 30 so that it strikes point B at the heightof h1. The ball reached the maximum height at C. (a) Find the component of velocity in x-direction just before it hit the wall at point B. (b) Calculate the time of flight of the ball from A to B. (c) Determine the height of h1 when the ball reach and hit the wall at point B (d) Find the magnitude and direction of the ball just before it hit the wall at point B. .(e) Determine the maximum height of h2 and the horizontal distance of x
A tennis ball launcher is used to fire a ball for hitting the target B. The ball velocity at firing is 40 m/s at an angle in degrees with the horizontal. Determine the value that will maximize the height, the maximum H and the time of impact.
Determine the velocity of the ball at point A Determine how far the ball will land from the edge of the table (x) If the ball lands on a small bug, which will have the greater force: the bug or the ball? Explain fully
A small vehicle enters the top A of the circular path with a horizontal velocity vo and gathers speed as it moves down the path. Determine the angle which locates the point where the vehicle leaves the path and becomes a projectile. Calculate the angle 8 for (a) Vo = 0 and (b) vo = 4.7 m/s. Neglect friction and treat the vehicle as a particle. The distance R = 3.2 m. Answers: (a) Vo = 0, Vo A B= i (b) vo=4.7 m/s, B= i R
3 Problem At the "before" instant shown below, a soccer ball of mass m is rolling horizontally to the left with speed v₁. A soccer player then kicks the ball as shown in the "after" instant, such that it leaves her foot with speed v2 making an angle with the horizontal. The ball just clears her opponent's head (at height h) when it reaches the apex of its projectile trajectory. Assume no drag during the projectile motion. The gravitaitonal acceleration is g. Question: If the soccer player foot makes contact with the ball for T seconds, what is the mag- nitude of the average force vector Favg that her foot exerts on the ball? Write your answer as an expression in terms of the variables: (m, v₁,T, g, h,0) -te Before After V1 V2 0 i h 9
4. A Fortress on a maintain eannonball with an intial velocity v= 150 m/s. The cannon is supported uses a canNon For defense. It launches a by 4 block on its baye and 3.blocks to hold its angle. the cammon is 150 m Enois the poot of the mantain- How for qrom the Fortrers Will the cannonball land?. Answer. Sx=2:39 km Provide complte scution with deriveition of Farmulas (inteials and derilartives Compiete unit / souition plecise. Grrawitational constant g=9:8) m/s? %3D
Dynamic Lesson The ski and the rider, with a total mass of 90 kg, are moving along the curved path in the shape. Since the equation of the curvilinear path is determined as y = 0.08x2 and the speed at x = 10 m is known as 5 m / s, the skier at this pointa) The rate of increase in speed,b) Obtain the value of the Normal force applied to ski.
Q2/ The slotted arm revolves about a normal axis through point O with a constant angular velocity w.The path radius of the center of the pin A varies according to r = 20+ 2sin(nwt)where n is the number of lobes = 6 in this case. pin A If w=12 rad/s, and the spring compression varies from 11.5 N to 19.1 N, calculate the force R between the cam and the 0.1 kg pin A when it passes over the top of the lobe in the position shown
A weather balloon is floating at a constant height above Earth when it r eleases a pack of instruments. a. If the pack hits the ground with a downward velocity of -73.5 m/s, how far did the pack fall? b. Calculate the distance the ball has rolled at the end of 2.2 s.
The door is made in one piece, the ends of which move along the horizontal guides and vertical. If the door is in the open position, θ = 0◦ , and then released, determine the speed (this is already solved Vinpact = 31.9 ft / s) at the that its outer A hits the stop C. Suppose the door is a 180-lb thin plate that has a width of 10 ft. Determine the impulsive force with which point A hits point C in an instant of 5 thousandths of a second.
A rocket fired vertically up from the north pole achieves a velocity of 25 000 km/h at an altitude of 339 km when its fuel is exhausted. Calculate the additional vertical height h reached by the rocket before it starts its descent back to the earth. The coasting phase of its flight occurs above the atmosphere. Consult Fig. 1/1 in choosing the appropriate value of gravitational acceleration and use the mean radius of the earth from Table D/2. (Note: Launching from the earth's pole avoids considering the effect of the earth's rotation.) Answer: h= i km