A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T = 2л√m/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? O [T] O [M] O [M]/[T] O [T]/[M] O [M]/[T]² O [T]²/[M]

A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T = 2л√m/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? O [T] O [M] O [M]/[T] O [T]/[M] O [M]/[T]² O [T]²/[M]

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Description: A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, therebystretching the spring, and then released. The object oscillates up and down, and the time T required for one complete u

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.14P

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