PRACTICE PROBLEM 9.13two minecarts are connected as shown below. Friction is negligible.If you know that:• Minecart 1 mass-8 kilograms• Mine cart 1 velocity = 3 m/s to the rightmm ₂KDifferential eq:*-[],=• Minecart 2 mass-4 kilograms• Minecart 2 velocity = 3 m/s to the left• Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has aconstant (k) -8 N/mSolution:21(t)=wall• Minecart 2 is 10 meters away from the wall.• Time (t)=0 is when the mine carts collide and stick together.• x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t-0Make a second order differential equations system that models the situation and find the solution to thesystem you make.10mx₂(t)

Given:Mass of the first object is Mass of the second object is Spring constant is .The initial…

PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: • Minecart 1 mass-8 kilograms • Mine cart 1 velocity = 3 m/s to the right Minecart 2 mass-4 kilograms Differential eq: *-[]• = MM K Solution: 2₁ (t) =_ • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k) -8 N/m • Minecart 2 is 10 meters away from the wall. • Time (t)=0 is when the mine carts collide and stick together. x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Make a second order differential equations system that models the situation and find the solution to the system you make. wall. x₂(t) 10m

PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: • Minecart 1 mass-8 kilograms • Mine cart 1 velocity = 3 m/s to the right Minecart 2 mass-4 kilograms Differential eq: *-[]• = MM K Solution: 2₁ (t) =_ • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k) -8 N/m • Minecart 2 is 10 meters away from the wall. • Time (t)=0 is when the mine carts collide and stick together. x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Make a second order differential equations system that models the situation and find the solution to the system you make. wall. x₂(t) 10m

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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T my F Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F. Suppose that F=68.0 N, mị = 12.0kg, m2 = 18.0kg, and %3D the coefficient of kinetic friction between each block and the surface is 0.1. (a) Draw a free-body diagram for each block. (b) Find the acceleration of the system. (C) Determine the tension T of the rope between the blocks.
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Fnet = ma , Frie, = HkN , x = xo + vozt + ;azt² , vz = Voz + azt , (Va)² = (Voz)² + 2a„Ax Problem 1: Two blocks of mass m1 = 4 kg and m2 = 6 kg are connected by a rope that goes over a frictionless pulley and provides a tension T. m, is accelerating upwards with an acceleration a and m1 is accelerating to the right with an acceleration a. m1 is on a surface that has a kinetic friction coefficient Hk = 0.3. In addition, m1 is being pulled to the right by a force F = 80N that makes an angle 0 = 20° above the horizontal. (a) What is a, the acceleration of the system? (b) What is T, the tension in the rope connecting m1 and m2? а F. g = 9.8 m/sec? T m1 T al m2
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