You have a metal spring of negligible mass that has spring constant k. The spring issupporting an object of mass m which is oscillating up and down with an angularfrequency of w. What happens when a large steady current passes through thespring?O The oscillations gradually slow down until they come to a complete stopO The mass continues to oscillate with a reduced oscillation periodO The mass continues to oscillate with an increased oscillation periodO The mass continues to oscillate with the same oscillation period

We require knowledge of time period of spring mass system in the problem.

You have a metal spring of negligible mass that has spring constant k. The spring is supporting an object of mass m which is oscillating up and down with an angular frequency of wo. What happens when a large steady current passes through the spring? The oscillations gradually slow down until they come to a complete stop O The mass continues to oscillate with a reduced oscillation period The mass continues to oscillate with an increased oscillation period O The mass continues to oscillate with the same oscillation period

You have a metal spring of negligible mass that has spring constant k. The spring is supporting an object of mass m which is oscillating up and down with an angular frequency of wo. What happens when a large steady current passes through the spring? The oscillations gradually slow down until they come to a complete stop O The mass continues to oscillate with a reduced oscillation period The mass continues to oscillate with an increased oscillation period O The mass continues to oscillate with the same oscillation period

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter12: Coupled Oscillations

Section: Chapter Questions

Problem 12.16P

See similar textbooks

Similar questions

Show,by integration that the moment of inertia of a uniform thin rod AB of mass 3m and length 4a about an axis through one end and perpendicular to the plane of the rod, is 16ma2 The rod is free to rotate in a vertical plane about a smooth horizontal axis through its end A Find i)The raduis of gyration of the rod about an axis through A ii)The period of small oscillations of the rod about its position of stable equilibrum
How can I find those step with this problem that I provide in the photo please
Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where thestring makes −8° with the vertical and is then released from rest. If the angular displacement θ(t) iswritten as a cosine function, then the phase constant φ is:
Two particles with masses m1 and m2 are joined by a light spring of force constant k. They vibrate along a straight line with their center of mass fixed. (a) Show that the total energy 12m1u12+12m2u22+12kx2 can be written as 12u2+12kx2, where u = |u1| + |u2| is the relative speed of the particles and = m1m2/(m1 + m2) is the reduced mass of the system. This result demonstrates that the pair of freely vibrating particles can be precisely modeled as a single particle vibrating on one end of a spring that has its other end fixed. (b) Differentiate the equation 12u2+12kx2=constant with respect to x. Proceed to show that the system executes simple harmonic motion. (c) Find its frequency.
Write the equations that describe the simple harmonic motion of a particle moving uniformly around a circle of radius8units, with linear speed 3units per second.
A child with mass of 10 kg gets into a toy car with mass of 65 kg on a playground, causing it to sink on its spring (withspring constant 327 N/m). An adult walks by and gives the top of the car a shove, causing it to undergo oscillationswith amplitude 30 cm in the vertical direction. Assuming the oscillations are simple harmonic, what is the angularfrequency of the oscillations?ω = (in rad/s) a. 0.673 b. 1.715 c. 2.088 d. 2.243 e. 5.717
A frictionless table has a mass m on it. The table has a hole in it, where mass m is connected to a string that passes through the hole, attached to a hanging mass M.(a) What is the Lagrangian for this system? Using this Lagrangian, find the equations of motion (a = function of position) for each of the generalized coordinates used.(b) Under what conditions does m make a circular motion?(c) What is the frequency of small oscillations (in r) about this circular motion? Further, assume the oscillations are small: use a Taylor Expansion at the point we choose to use the small angle approximation.)
A horizontal spring mass system oscillates on a frictionless plane. At time t=0, it is moving left at position x=9 cm. It has velocity v=0, at positions x=0 cm and 12 cm, and completes one full cycle in 2 seconds. Write the position and velocity kinematic equations for this oscillating system, including the phase constant.
An airplane propeller is rotating at 1900rpm. how many seconds does it take for the propeller to turn through 48.0 degrees? if the propeller were Turing at 24rad/s at how many rpm would it be turning? when the propeller were turning at 24rad/s what is the period (in seconds) of this propeller?
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T = 6.6 seconds. Frequency is = 1/6.6 Angular Velocity = 0.952 Length of the chandelier = 10.81 That evening, while hanging out in J.J Thompson's House O' Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 Seconds. Determine the acceleration due to gravity in m/s^2 at the club
A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass is slowly lifted along a circular arc to a height h. a. Assuming the only force acting on the mass is the gravitational force, show that the component of this force acting along the arc of motion is F = mg sin u. b. Noting that an element of length along the path of the pendulum is ds = L du, evaluate an integral in u to show that the work done in lifting the mass to a height h is mgh.
Calculate the average energy E per mode of oscillation for (a) a long wavelength lambda sign=10 hc/kT, (b) a short wavelength lambda sign= 0.1 hc/kT