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Spring-Mass Problem
Two identical particles \(A\) and \(B\) of mass \(m\) are connected by a light spring of natural length \(l_{0}\) and spring constant \(k .\) The system is placed on the ground with \(A\) vertically above \(B\).(a) Let \(y_{A}\) be the displacement of \(A\) measured from the ground. Determine \(y_{A}\) when the system is in equilibrium.(b) If \(A\) is projected upward from the equilibrium position with velocity \(u(>2 g \sqrt{m / k})\)find the values of \(y_{A}\) and \(\dot{y}_{A}\) when \(B\) just...
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring...
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Suppose instead that the mass is released from rest when it barely touches the undeformed spring. (Figure 1) Find the distance D that the spring is compressed before it is able to stop the mass. Express your answer in terms of some or all of the variables m and d. Submit My Answers Give...
Problem 6: A block of mass m rests against a spring with a spring constant of...
Problem 6: A block of mass m rests against a spring with a spring constant of k on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. Idl м tus Ctheexpertt eted eted eted eted eted Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
In this problem we will explore the energy of a mass on a spring. (a) Write...
In this problem we will explore the energy of a mass on a spring. (a) Write down the kinetic energy (as a function of time) of a mass m oscillating on a spring with a spring constant k according to the equation x(t) = A cos(ωt + φ). Give your answer in terms of m, ω, φ, A, and t. (b) Now write down the elastic potential energy as a function of time for the same mass. Give your answer...
Physics problem: What is the mass of an object that is attached to a spring with...
Physics problem: What is the mass of an object that is attached to a spring with a force constant of 200N/m if 14 oscillations occur in 16 seconds?
In a mass-spring system, a mass of 250 g is attached to a spring of spring...
In a mass-spring system, a mass of 250 g is attached to a spring of spring constant 115 N/m. If the mass comes to a rest 46.3 cm from its equilibrium position before changing directions, what is the total energy in the system?
This problem deals with a mass m on a spring (with constant k) that receives an...
This problem deals with a mass m on a spring (with constant k) that receives an impulse po = mv, at time t= 0. Show that the following initial value problems have the same solution. Thus the effect of po(t) is to impart to the particle an initial momentum po- mx" + kx = 0, x(0) = 0, x'(0) = V, and mx"' + kx = p. 8(t), x(0) = 0, x'(0) = 0 Click the icon to view the...
please show processes Problem. In an oscmaung mass - spring system, the object's mass is 3.0...
please show processes
Problem. In an oscmaung mass - spring system, the object's mass is 3.0 kg, the amplitude of oscillations is 4.0 cm with a period of 2.0 s. a. What is the maximum energy of the system? b. Find the maximum speed and maximum acceleration of the object. c. At what positions is the speed of the object is y of its maximum value? 147
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Suppose instead that the mass is released from rest when it barely touches the undeformed spring. (Figure 1) Find the distance D that the spring is compressed before it is able to stop the mass. Express your answer in terms of some or all of the variables m and d. Submit My Answers Give...
Problem 6: A block of mass m rests against a spring with a spring constant of k on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. Idl м tus Ctheexpertt eted eted eted eted eted Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
This problem deals with a mass m on a spring (with constant k) that receives an impulse po = mv, at time t= 0. Show that the following initial value problems have the same solution. Thus the effect of po(t) is to impart to the particle an initial momentum po- mx" + kx = 0, x(0) = 0, x'(0) = V, and mx"' + kx = p. 8(t), x(0) = 0, x'(0) = 0 Click the icon to view the...
please show processes
Problem. In an oscmaung mass - spring system, the object's mass is 3.0 kg, the amplitude of oscillations is 4.0 cm with a period of 2.0 s. a. What is the maximum energy of the system? b. Find the maximum speed and maximum acceleration of the object. c. At what positions is the speed of the object is y of its maximum value? 147
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