PRACTICE PROBLEM 8.2 two minecarts are connected as shown below. Friction is negligible. Assume that x1 & x2 is the displacement of the mass of the first cart and the mass of the second cart from their starting positions respectively. KI Differential eq: E x" If you know that: Both minecarts have a mass = 2 kilograms Spring constant (kl)=72N/m Spring constant (k2)=108N/m Spring constant (k3)=72N/m = Make a second order differential equations system that models the situation and find the general solution to the system you make. x m₁ General solution: [x₁(t) [x₂( M₂ = [](²₁ co [-] K3 (a₁ cos (-) + b₁ sin (-)) + [-] (a2 cos (-) + b₂ sin (−))

PRACTICE PROBLEM 8.2 two minecarts are connected as shown below. Friction is negligible. Assume that x1 & x2 is the displacement of the mass of the first cart and the mass of the second cart from their starting positions respectively. KI Differential eq: E x" If you know that: Both minecarts have a mass = 2 kilograms Spring constant (kl)=72N/m Spring constant (k2)=108N/m Spring constant (k3)=72N/m = Make a second order differential equations system that models the situation and find the general solution to the system you make. x m₁ General solution: [x₁(t) [x₂( M₂ = [](²₁ co [-] K3 (a₁ cos (-) + b₁ sin (-)) + [-] (a2 cos (-) + b₂ sin (−))

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 body of 3kg moving in the frictionless xy plane started its motion from the center of the coordinate system with a velocity of Vilk=(2î+j)m/s. The object is oriented to the point given by rson=(10î+j)m by the effect of forces F1=(2î+7j)N and F2=(2î-5j)N. A) Find the work done by F1 and F2 forces. B) What is the velocity when the object reaches its rend position?(g=9.8m/s^2)
Q2/A pulley used to transmit power by means of ropes has a diameter of 3.6 metres and has 15 grooves of 45° angle. The angle of contact is 170° and the coefficient of friction between the ropes and the groove sides is 0.28. The maximum possible tension in the ropes is 960 N and the mass of the rope is 1.5 kg per metre length. What is the speed of pulley in r.p.m. and the power transmitted if the condition of maximum power prevail ?
An electric elevator with a motor at the top has a multistrand cable weighing 8.4 lb/ft. When the car is on the first floor 270 feet of cable are paid out, and effectively 0 feet when the car is on the top floor. How much work does the motor do to lift an 1800 lb car and cable from the first floor to the top? Provide a picture model, give the approximate equation, then solve.
weighs 60 N on Earth. (3). A system consists of a pulley (vertical wheel) that is only allowed to rotate (spin). A cord is passed over the pulley and at each end there is a mass attached to the end of the cord. The mass attached on the left is m, =0.6 kg and at the right the mass is m2 = 0.8 kg. a) Calculate both the Tension in the cord and the acceleration of the system. b) What are the accelerations of both masses, if you were to cut the cord? Neglect the friction between cord and wheel,
Q2: Find the E.O.M of the system shown in the fig by using newtons law, and then find the total forced displecment if yo = 0.001m and the time of one period is 0.125 s and w₁ = 45.25 rad / sec body 1.6 m/s +
In the system shown in the figure, mA = 2 kg and mB = 5 kg.the mass is connected to each other by rope. A 12 N Fforce is applied to body A at an angle of 10 °.There is only friction between body B and the inclined planeand the kinetic coefficient of friction is 0.3. a) Draw the free body diagram of each object. b) Find the acceleration of the system. g = 9.8 m / s ^ 2, sin (37 °) = cos (53 °) = 0.60, cos (37 °) = sin (53 °) = 0.80, sin (10 °) = 0.17,cos (10 °) = 0.98
0.5 m, k = 500 N/m, and k = 40 N.m/rad, In the system shown, m = 10 kg, r = 0.3 m, Ko where ko is the radius of gyration of the pulley about point 0. There is no slippage between the cord and the pulley. Replace the system with an equivalent { a) torsional spring and mass moment of inertia at point 0, and b) translational mass and spring at point A. т, Ко kt А k m ww
Consider the system shown in the following figure, which is pivoted at point O. Suppose the system is moving in a horizontal plane. Assume that a0.4 m,b-1m M=2 kg the mass of the bar m 4 kg. k10 N/m, c 93 kg/s and F(t)= F6 (t) N where F = 3Ns Assume zero initial conditions and the moment of inertia of the bar about point O to be Determine the mnaximum tip response amplitude in mm. ww- Rigid bar M F() 6154 mm 13.90 mm 8.93 mm 83.37 mm 19.85 mm O00 00
Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.
Consider the following diagram. m1=20 kg and m2= 10 kg. The system is being pulled by an applied force of 200 N. directed 50" above the horizontal. The coefficient of kinetic friction between the block and the surface is u-0.2. 50 m, 20kg Coefficient of friction 4=0.2 10 kg. 309 7) Calculate the acceleration of the system. Your answer 8) Calculate the magnitude of the Tension on the rope. Your answer N 00
When a 5000 lb car driven at 60 mph on a level road is suddenly put into neutral gear (i.e. allowed to coast), the velocity decreases in the following manner: 60 V = mph , 1+() where t is the time in sec. Find the horsepower required to drive this car at 30 mph on the same road. Useful constants: 9 = 22 mph/sec, 1 H.P. = 550 ft.lb/sec, 60 mph = 88 ft/sec.
pls send me answer of this question all the parts pls and i will rate you sure, pls solve a,b,c and d and also a and b A 200-kg dragster (racing car) exerts a constant force of 4000 N during a race. The coefficient of kinetic friction between the tires and the pavement is .15. If the drag strip is 1000 m long, determine:a. The net force on the dragster. b. The acceleration of the dragster. c. The time it takes for the dragster to finish the race.d. The dragster's velocity at the end of the race.The dragster now needs to slow down, so it opens a parachute. The force of air drag is 3500 N. The driver also locks the brakes of the dragster, and the coefficient of kinetic friction becomes .75. Determine:a. How long it will take to stop the dragster.b. The distance the dragster travels while stopping.