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23 Nov 2019
A mass m is connected to a spring of spring constant k . The
mass sits on a frictionless horizontal surface and the spring isconnected to a wall. Thus the mass
spring system can undergo oscillations in the horizontal direction.At t=0 the mass has velocity
Vo , in the pos x-direction and the spring is stretched a distanceL/2 . Answer the following in
terms of quantities given or a subset thereof.
(a) What is the energy of the system?
(b) What is the distance of maximum displacement of thespring?
(c) Write down an expression for the position of the mass as afunction of time. You need the amplitude of the oscillations andthe phase.
A mass m is connected to a spring of spring constant k . The
mass sits on a frictionless horizontal surface and the spring isconnected to a wall. Thus the mass
spring system can undergo oscillations in the horizontal direction.At t=0 the mass has velocity
Vo , in the pos x-direction and the spring is stretched a distanceL/2 . Answer the following in
terms of quantities given or a subset thereof.
(a) What is the energy of the system?
(b) What is the distance of maximum displacement of thespring?
(c) Write down an expression for the position of the mass as afunction of time. You need the amplitude of the oscillations andthe phase.
