is a = Q1. 1) The missile at point A takes off from rest and rises vertically to point B after 6.7 seconds, where its fuel runs out. During this time the acceleration of the missile (C.t) m/s², where C = 3.4 is a constant and t´is time in s. (Hint, this expression of acceleration already takes into consideration of gravity.) Then by internal controls the missile tilts to an angle = 40° as shown, while keeping the speed, vg, it has attained, and from there it travels in free flight until it lands on the ground at point D. Determine the missile's height hg (in m) at point B. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². C B hB hc R D

is a = Q1. 1) The missile at point A takes off from rest and rises vertically to point B after 6.7 seconds, where its fuel runs out. During this time the acceleration of the missile (C.t) m/s², where C = 3.4 is a constant and t´is time in s. (Hint, this expression of acceleration already takes into consideration of gravity.) Then by internal controls the missile tilts to an angle = 40° as shown, while keeping the speed, vg, it has attained, and from there it travels in free flight until it lands on the ground at point D. Determine the missile's height hg (in m) at point B. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². C B hB hc R D

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. A chain of blocks is moving upward at 3 m/s. The tension in the cable connected to the top of the chain is To = 800 N. a. What is the acceleration of the chain of blocks? b. What is the tension in the cable connecting Block C and Block D? v = 3 m/s To = 800 N mA = 21 kg mB = 25 kg mc = 20 kg mp = 18 kg mg = 17 kg mp = 15 kg a = ? TCD = ?
I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…
A block with a mass of 2.0kg is on a horizontal surface of negligible friction. The block is attached to one end of an ideal spring. The other end of the spring is attached to a vertical wall as shown. The block is pulled back and released from rest. The graph shows the horizontal position x of the block as a function of time t as the block oscillates on the surface. The block is moving to the right when it breaks away from the spring moving with its maximum linear speed. The block reaches an area with a rough surface that has a coefficient of kinetic friction of 0.200. Calculate the distance the block moves on the rough surface as it comes to rest. If he block is then replaced with a cylinder of radius 0.25 m and mass 2.0 kg, which is attached to the spring along an axis through its center. The cylinder is placed on a new surface, which allows it to roll while in oscillation. The cylinder is pulled back until the spring is stretched the same distance as in the previous experiment,…
n engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height H above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 9.0g when brought to rest. Let N be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 9.0g
The plot below shows the acceleration of a mass placed at the end of a beam as it oscillates: 20 Which we model as: Acceleration (m/s²) 15 10 5 0 -5 -10 -15 -20 0.5 1 Wd 1 1.5 1 2 = wn√1 y(t) = Ae-3wnt sin(wat) y(t) = Ae-Ct sin 1 2.5 Time (s) = 2π T 2π T 1+ 3 2π We will use MATLAB to find the decay constant C and the period T. We can then use these to calculate the damping ratio and the natural frequency @n, using: 3.5 T 4 2 and C = {wn O data zeros peaks decay fit 4.5 Using the information above, derive the expression shown below for the damping ratio 3. 1 3 = 5
3) The ME Department just purchased a new mega-drone that weighs 220 lbs and can descend autonomously to land on its own. The drone company included the graph shown below for how much force is applied to the Thrust 'T'. If the operator allows the autonomous descent when the drone has an initial downward velocity of 2 ft/s, calculate the velocity of the drone after 3 seconds. T, Ibf V = 2ft/s 260 t, (s) 5:57 PM O 57°F Mostly sunny 3/6/2022 99+ P Type here to search Del PrtScn FB Home F9 End F10 PgUp PgDn F12 F11 F6 F7 F5 F4 Esc F2 F3 F1 Backspace & @ %23 2$ % 8 4. Y U Q W
Question 2: The applied force P causes block B to accelerate at ab = 5 Xb 0.25x ft/s², where x, is the position of block B measured from fixed point D. Initially, x, = 0.5 ft and the blocks are at rest. When x = 3 ft, find: a) The velocity and acceleration of B relative to A b) The absolute velocity of point C on the cable CA D- For each answer, report whether the direction is to the right or the left. -
A Flying toy for children starts from rest at the ground. Accelerate at 4 ft/sec? and then decelerate at 1.5 ft/sec?. Evalute the shortest time it takes to reach a hight 40 ft above the ground.The toy starts from rest and then stops.
Write the vector expression for the acceleration a of the mass center G of the simple pendulum in both n-t and x-y coordinates for the instant when 8 = 65° if 0 = 2.47 rad/sec and 0 = 3.625 rad/sec². Answers: a = ( i a=i XIII 3.7' mn 8 en + i+ i i et) ft/sec² j) ft/sec²
4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]
+51 suspension You are an engineer designing the suspension of an ATV. You want to ensure that the vehicle doesn't "bottom out" even when landing from being airborne. An approximation describing the vertical acceleration of the suspension upon impact is I a(s) 9.8(1 12s) m/s² where the initial velocity at impact is v=1.5 m/s with the spring initially uncompressed, s = 0 m A) What is the vertical velocity of the ATV chassis after the spring is compressed 0.1 m? B) What is the maximum distance the spring gets compressed? (This occurs when the ATV's vertical motion comes momentarily to rest)
Q3 A-A race car accelerates uniformly from 18.5 m's to 46.1 m's in 247 seconds. Determine the acceleration of the car and the distance traveled. B-A feather is dropped from rest on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s. Determine the time for the feather to fall to the surface of the moon.