Problem-2 A spring is hanging from the ceiling at its equilibrium. A mass of 275g is added to the spring, and the spring stretches by 12.5cm to its new equilibrium position (a) What is the spring constant in N/m? (b) If the mass is then displaced from its equilibrium position by an amount 5.00cm then let-go with zero initial velocity at t 0.00s, what is the frequency of oscillation of the mass? = (c) At what positions x are the accelerations of the mass the greatest? (d) Please write an equation for the velocity vs. time, v(t) of the mass after it is released

Problem-2 A spring is hanging from the ceiling at its equilibrium. A mass of 275g is added to the spring, and the spring stretches by 12.5cm to its new equilibrium position (a) What is the spring constant in N/m? (b) If the mass is then displaced from its equilibrium position by an amount 5.00cm then let-go with zero initial velocity at t 0.00s, what is the frequency of oscillation of the mass? = (c) At what positions x are the accelerations of the mass the greatest? (d) Please write an equation for the velocity vs. time, v(t) of the mass after it is released

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)...

See similar textbooks

Similar questions

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A "seconds pendulum" is one that moves through its equilibrium position once each second. (The period of the pendulum is precisely 2.000 s.) The length of a seconds pendulum is 0.9920 m at Tokyo and 0.9948 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations? (g Cambridge / g Tokyo) =
Please answer the question correctly
A motion needs to be critically damped if the system, A needs to ensure that no oscillation will occur. needs to eliminate oscillations in the quickest time possible. © is within an economical constraint. D can withstand a small amount of oscillation.
4) A 7 gr bullet is fired into a 750 gr block of wood which is at rest on a frictionless table (Isolated System) and attached to a spring with a spring constant of 8000 N/m. The bullet has a velocity of 720 m/sec and is trapped inside the block of wood. a) What is the velocity of the block before the collision? b) What is the velocity of the block/bullet after the collision? c) What is the Amplitude of the resulting SHM? d) What is the kinetic energy after the collision? e) What is the potential energy after the collision? f) What is the mechanical energy after the collision? g) What is the kinetic energy at maximum compression of the spring? h) What is the potential energy at maximum compression of the spring? i) What is the mechanical energy at maximum compression of the spring? (2
A spring with a spring constant of k=157N/m is initially compressed by a block a distance d=0.21m. The block is on horizontal surface with coefficient of kinetic friction yk static friction ys and has a mass of m=6kg B)Assuming the block is released from the initial position and begins to move to the right input an expression for the sum of the force in the x- direction in the configuration.
5) The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness, with a spring constant k, and is suspended off of the ground. a) If the spring stretches x1 = 0.265 m from equilibrium while supporting an 8.05-kg child, what is its spring constant, in newtons per meter? b) What is the time, in seconds, for one complete bounce of this child about the point x1? c) What is the child’s maximum velocity, in meters per second, if the amplitude of her bounce, relative to x1, is 0.185 m?
Determine the natural frequency of oscillation in rad / s for small oscillations of the uniform bar of mass m = 3.5 kg and length L = 0.9 m shown in the figure when it is displaced slightly downwards by compressing the spring of elastic constant k = 15.4 N / m, and then it is released. When the bar is released it describes a simple harmonic movement.
A block of mass m = 2 kg is attached to a spring with force constant k= 500 N/m. The block is subjected to a linear friction force f = -cv. The oscillation graph of the block is illustrated in the graph below. a) Is the oscillator over, under, or critically damped? Justify. b) Determine the period Ta of damped oscillations. c) Deduce the damping parameter y, the angular frequency wa, and the un-damped angular frequency w. d) Determine the constant of friction c. ( e) Write an expression for x(t) and make sure to calculate the numerical values for all parameters in it. Hint: Read the values of xo and vo from the graph, and note that the tangent to the graph is horizontal at t = 0 s.
B1
ASK YOUR TEACHER PRACTICE ANOTHER You attach one end of a spring with a force constant k= 713 N/m to a wall and the other end to a mass m = 2.22 kg and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position x, = 4.56 cm from equilibrium and release it. x=0 x=1/4 (a) Determine the potential energy stored in the spring before the block is released. (b) Determine the speed of the block as it passes through the equilibrium position. m/s (c) Determine the speed of the block when it is at a position x/4. m/s
A spring has a length of 0.260 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it. What is the force constant (in N/m) of the spring? What is the unloaded length (in m) of the spring?
100 N 1 N Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency of oscillation of a símple pendulum in that place, f', as compared to its frequency on earth is: f'= 4f f' = f/3 f' = f/2 f'= 2f O f= 9f face in simple A mass-spring system oscillates on a friction would the