PRACTICE PROBLEM 9.3 two minecarts are connected as shown below. Friction is negligible. If you know that: Minecart 1 mass=8 kilograms Mine cart 1 velocity = Minecart 2 mass=4 kilograms • Minecart 2 velocity = 3 m/s to the left • mm₂ 3 m/s to the right 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. Differential eq: *=[] x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Solution: 1(t) Make a second order differential equations system that models the situation and find the solution to the system you make. 183 10m x₂(t)

PRACTICE PROBLEM 9.3 two minecarts are connected as shown below. Friction is negligible. If you know that: Minecart 1 mass=8 kilograms Mine cart 1 velocity = Minecart 2 mass=4 kilograms • Minecart 2 velocity = 3 m/s to the left • mm₂ 3 m/s to the right 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. Differential eq: *=[] x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Solution: 1(t) Make a second order differential equations system that models the situation and find the solution to the system you make. 183 10m x₂(t)

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

Related questions

Q: Determine the reaction forces at the four contact points A, B, C and D. Small: Mass of 1.02 kg…

Q: A disk of mass m = 5 kg, Ic =mR3, and outer radius Ro = 0.9 m contacts an inclined surface with…

Q: The figure below shows a 30 kg disk, initially at rest, that is attached to a wall through a spring…

Q: (Figure 1)Block 1, of mass m₁ = 0.600 kg, is connected over an ideal (massless and frictionless)…

Q: A coin of mass m is left at the edge of a rotating disk, a distance r from the center. The disk is…

A: mass of coin = m radial location of coin r = 2 mfriction coefficient between coin and disk

Q: When mass m2 moves a distance 2.04 m up the ramp, how far downward does mass my move? Express your…

Q: A 150-lb crate is released from rest along a 30° inclined plane. The coefficient of kinetic friction…

Q: The A kg collar is initially at rest on the bar at position 1 as shown in Figure Q2. The coefficient…

Q: Parvinbhai

A: The objective of the question is to find the maximum acceleration of the race car such that the…

Q: Draw a free body diagram (FBD) for each br blocks. Apply Newton's Second Law to each block block in…

A: To draw the freebody draw the block, equation of forces acting in x and y direction,direction of…

Q: *Chapter 8, Problem 29 In the figure, a block of mass m = 13 kg is released from rest on a…

A: We have to determine yhe block move down the incline from rest position to this stopping point. B.…

Q: 1. Two blocks, of masses M = 2.3 kg and 2M are connected to a spring of spring constant k = 180 N/m…

Q: In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling…

A: Given: mpin=1.6 kgmlegs=40 kgh1=15 cmh2=12 cmh3=30 cmμs=0.3μk=0.22 To find: Max acceleration to not…

Q: Problems 4.78 through 4.80 The crates A and B of weight WA by a pulley system. The system is…

A: To find: The speed of A after B drops 15 feet. Given: The kinetic friction is μk=0.25. The weight of…

Q: How far have you pulled the block and cylinder when everything stops?

Q: Q1 [Type B]: The straight tube slide in an in-door playground has a 30° angle with the ground as…

Q: A 0.3-kg block is placed against a rotating hollow cylinder of inner radius = 0.7 m. The cylinder…

A: Given data: Draw the free-body diagram of the block.

Q: Question 6 The uniform solid cylinder shown in the figure is released from rest on the = 60 degree…

Q: When Crates A and B of mass ma = 38 kg and mB = 74 kg are released from rest, Crate A moves to the…

Q: A bike chain can support a tension of no more than 9800 N. The pedal connects to a crank 17 cm from…

A: Draw a diagram for the problem showing the tension in the chain and the force applied on the pedal.…

Q: 3. Figure 3 shows a system consisting of wedge A and block B connected by an inextensible cable…

A: To find:Determine the acceleration of block B immediately after P is applied.And the tension in the…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

PRACTICE PROBLEM 9.3
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
• Minecart 2 velocity = 3 m/s to the left
MM.
• 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.
Differential eq:
*-[];
=
• 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
Solution:
z1(t)
wall.
Make a second order differential equations system that models the situation and
find the solution to the system you make.
10m
x₂(t)
=

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculating the natural frequency

VIEW

Step 3: Differential equation in matrix form

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 21 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

PRACTICE PROBLEM 9.3 two minecarts are connected as shown below. Friction is negligible. If you know that: x" Differential eq: Minecart 1 mass=8 kilograms Mine cart 1 velocity = 3 m/s to the right 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 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. = x₁(0) [] = Solution: x₁ (t) = M in m₂ I x₂ (0) - Wall x₁ (0) 10m x₂ (t) After the collisions the mine carts will a. Move closer to the wall b. Move farther away from the wall c. Stop moving x₂ (0)
Problem 4 (Figure B). A mass of 2 kg is projected with a speed of 3 m/s up a plane inclined 20° with the horizonal. After traveling 0.8 m, the mas: comes to rest. (a) Determine the coefficient of kinetic friction. (b) Determine the speed of the block when it returns to it starting position. Draw 2 x 9.8 19.6 N 20° Figure B PN
How to get the correct answer
A carnival ride has people stand inside a vertical cylinder with their backs to the wall. The cylinder starts spinning and the riders find that they are “stuck” to the wall and don’t slide down, even if the floor is removed. The ride has a radius of r. The person has a mass of m and is moving with a constant speed of v. The coefficient of static friction between the person and the wall is μs , and kinetic friction μk. The person is only touching the wall, not touching the floor. What is the magnitude of the acceleration of the person? In what direction does it point? The speed is constant. Why is the acceleration not zero? Briefly explain. No equations!
Please show all work and diagrams! Anything is helpful.
The Beck 550 Spyder described below has manual hydraulic brakes with a single master cylinder. The car is traveling on level ground at sea-level where g = 9.81 m/s². Find the values for the front and rear brake gains that will make this car decelerate at 8.829 m/s², or 0.90g, on a road surface where the peak coefficient of friction is 0.90 when the pedal force is F₂ = 250 N. Neglect the aerodynamic drag and the rolling resistance, but this time include the rotational inertia of the tires and wheels. Answer: G₁ =166.1 N-m/MPa for each front wheel and G, = 114.5 N-m/MPa for each rear wheel. Pedal Assembly The diameter of the master cylinder is DMC = 19.05 mm. The pedal length is Lp = 225 mm. The pushrod for the master cylinder is located at LR = 50 mm. ● ● Pushrod LR Lp Fp Masses, Tire Radius, Wheelbase and Location of the CG Mass of the car with driver, passenger and some stuff: m = 780 kg Inertia of each tire and wheel: I = 0.7 kg-m² Tire rolling radius: r = 0.31 m Wheelbase: L = 2.16…
Situation 5: Suppose the coefficient of kinetic friction between me and the plane as shown in figure is µ = 0.2 and that m = 20 kg and m² = 20 kg 53. What is the acceleration of Block A 0.605 -0.605 0.303 -0.303 60° 54. What is the tension on the chord? 80.31 N 72.12 N 78.17 N 66.71 N 1.1 m/s 52. What is mass of block B in order to move 1m up in an inclined when the block initially at rest 18.83 kg 20.41 kg 15.61 kg 25.12 kg 30° 55. What is the time required for block B to reach the top assuming it is initially 2.5 m away. 4.06 S 1.07 s 2.87 s 3.24 s
Two, unattached boxes are accelerated by a force, F, as in the figure below. The coefficient of static friction between the boxes is 0.9 and the coefficient of kinetic friction between the boxes is 0.5. What's the minimum force, F, required such that the smaller box does not slip down the bigger box? Mass M = 9.8 kg and mass m = 2.7 kg. Assume that there is no friction between the ground and the boxes.
4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz
H.W. * A car of total mass 1140 kg has roadwheels of effective diameter 0.7 m and attains a speed of 120.7 km/h at an engine speed of 3600 rev/min Calculate the final drive ratio, tractive effort and the brake power developed by the engine, assuming a transmission efficiency of 90% .
Solve problem 4 pls
Consider the system shown below (Figure 1). The rope and pulley have negligible mass, and the pulley is frictionless. Initially the 6.00 kg block is moving downward and the 8.00 kg block is moving to the right, both with a speed of 0.600 m/s. The blocks come to rest Part A after moving 3.00 m. Use the work-energy theorem to calculate the coefficient of kinetic friction between the 8.00 kg block and the tabletop. Express your answer using four significant figures. nν ΑΣφ Hk = Figure 1 of 1 8.00 kg 6.00 kg