Please solve all part 4ka). A mass weighing 2lbs stretches a spring 6 inches. At t = 0 the mass isreleased from a point 8 inches below the equilibrium position with anupward velocity of ft/ s.Determine the function x (t) that describes thesubsequent free motion.ii). Write the solution of the initial value problem discussed in the previousexample in the form x (t) = Asin (wt +4).ii). Find the first value of time for which the mass passes through theequilibrium position heading downward.%3D

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Answered: ka). A mass weighing 2lbs stretches a…

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

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A. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N. 1. Determine the total work done as the motorcycle ascends the incline. 2. Calculate the amount of power developed during the climb. B. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: 1. The angular velocity of each of the wheels. 2. The moment of inertia of each wheel. 3. The magnitude and effect of the gyroscopic torque produced on the bike.
The 10 N cylinder moves in a frictionless pipe. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. (d is the distance from the right end of the arc k2). The system rotates around a fixed z-axis. Find the constant velocity of the cylinder for d = 0.20 m?
This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…
A structure has a mass of 10 kip/g and a stiffness of 10 kip/in. The acceleration of gravity, g, is 386.1 in/s2. Provide the period of the structure in seconds.
1.) Name two distinct advantages of the energy methods: 2.) Must the potential energy of a body of weight W in a gravitational field always be positive? Explain 3.) In a convservative system, the total mechanical energy (composed of kinetic energy and potential energy) is constant. True or False? 4.) A particle must execute curvlinear motion in order for it to have angular momentum about a point. A.) True B.) False 5.) For the motion of a rigid body to be a translation, the center mass of the body must move along a straight line. A.) True B.) False
For the spring mass system find the displacement as function of time and the velocity and acceleration at (3 sec) (Use w-47.25 Ib, k-20Ib/ft, x(0)-4ft, v(0)=10ft/sec)
An object with a mass of 0.5 kg is released from a distance of 2 m, the spring coefficient k = 100 N / m and the object is in the same direction after impact. If it is known to rebound on the road throughout; a) What is the speed of the object at the moment before it hits the spring? b) Find the maximum compression and maximum spring force in the spring. c) Find the rebound height if e = 0.5. (Assume that the spring behaves linearly during deformation, when the object leaves the spring, the spring regains its initial length (L) and energy is conserved during compression.)
Specifically a dynamics problem: A sphere is fired downward into a medium with an initial speed of 27 m/s. If it experiences a deceleration of a = -6t m/s2, determine the distance traveled before it stops.
A crank of length 30 cm, starting from an initial horizontal position P, rotates in a positive sense (counterclockwise) at a uniform rate of one revolution per second.a) Determine a function that gives the height of the end of the crank from the initial position line at any time t.
An object with a mass of 0.5 kg is released at a distance of 2 m, the spring coefficient k = 100 N / m and the object is in the same direction after impact. If it is known to rebound on the road throughout; a) Find the maximum compression and maximum spring force in the spring. b) Find the rebound height if e = 0.5. (Assume that the spring behaves linearly during deformation, when the object leaves the spring, the spring regains its initial length (L) and energy is conserved during compression.) ① The object is 2 m above the arc and is at rest. ② The object is about to hit the spring. ③ It is the moment when the object compresses the spring as much as. ④ It is the moment when the spring is most compressed, the object is at rest at this moment. ⑤ It is the moment when the object loses contact with the spring. ⑥ The object is at the top h of the spring as a result of becomes immobile at distance.
A boat is towed at the rate of 12mi/hr. At t = 0, the towing line is cast off and a man in the boat begins to row in the direction of motion exerting force of 20 lb. The combined weight of the man and the boat is 480lb. The water resists the motion with a force equal to 1.7v lb, where v is the velocity of the boat in feet per second. Derive a DE leading the velocity of the boat.
A vehicle accelerates from a standing start up a 6 percent grade at an acceleration of 2 m/s2.Find the load distribution on the axles at this condition.The curb weights are 890 kg on the front axle and 500 kg on the rear. The wheelbase is 2,7m.Driver’s weight is distributed 49 percent on the front axle. Assume the driver weighs 90 kg.The height of CG is 50 cm.

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