1. Suppose that the massless spring is hanging from the ceiling. When you attached object weighing 30g andspring constant k = 15. From this position you have stretched the spring 5 cm and release. Find the motionof the spring (y) as a function of time. Note: This phenomena can be modelled by a 2nd order ODE asfollows:d²y+ ky = 0mdt2

At equilibrium Spring force ky0 = mg Here y0 is expansion at equilibrium Now if we stretch the…

Answered: 1. Suppose that the massless spring is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3) A bungee jumper of mass 65.0 kg jumps off of a bridge with a long bungee cord tied safely and securely to their legs. The bungee cord is assumed to behave like a perfect spring. Below you can find a graph representing the bungee jumper's height above the ground as a function of time. c) Describe two assumptions that were made in this scenario, and explain how this "ideal" scenario would differ in the real world, where these assumptions are not valid.I 100 10 15 A 1000 Time (s) While stretched to its greatest length, the bungee cord is under high tension, and begins to vibrate due to resonance with the local air currents. It's observed behaviour is that of a standing wave on a string which is fixed at both ends. A camera captures an image of the bungee cord, seen below. (note that this image represents its full length) a) Determine the spring constant of this bungee cord. b) Calculate the maximum velocity of the bungee jumper during this process. d) Calculate the wavelength of the…
2. Construct a problem where a mass is sitting on top of a spring inside an elevator; both are suspended by a rope and are uniformly accelerating upwards with magnitude 4 meters per second squared. Specify all the masses in the problem, as well as all the forces acting in the problem, and their relative directions.
Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from its natural length. The mass is then started in motion from the equilibrium position with an initial velocity of 4 ft/sec in the upward direction. Find the subsequent motion of the mass, if the force due to air resistance is (-2 y') lb.
80.A mass in a spring-mass system is released from x = 60 cm towards the equilibrium position at x = 0. What is the velocity and acceleration of the mass when it reaches x = -55 cm? The velocity is negative, while the acceleration is positive. The velocity and acceleration are both positive. The velocity is positive, while the acceleration is negative. The velocity and acceleration are both negative.
Estimate the stiffness of the spring, kk (in N/m) in a child’s pogo stick if the child has a mass of 27 kg and bounces once every 2.6 seconds. Type your answer to within one decimal place. Use a period (full stop) for a decimal place, eg. 500.0 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer.
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I Review I Three identical 9.50 kg masses are hung by three identical springs (Figure 1). Each spring has a force constant of 7.10 kN/m and was 15.0 cm long before How long is the middle spring when hanging as shown? (Hint: treat the bottom two masses as a system.) Express your answer with the appropriate units. any masses were attached to it. Iм 3D 17.6 сп Submit Previous Answers Correct Part F Figure 1 of 1 How long is the top spring when hanging as shown? (Hint: treat all three masses as a system.) Express your answer with the appropriate units. HẢ lT = Value Units Submit Request Answer
Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from its natural length. The mass is then started in motion from the equilibrium position with an initial velocity of 4 ft/sec in the upward direction. Find the subsequent motion of the mass, if the force due to air resistance is (-2 y') lb

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