Question: For a massm attached to a spring with spring constant, Newton's Second Law says the displacement of the mass,x(t) should obey the differential equation d^2x/dt^2=-(k/m)(x)(t)

For a massm attached to a spring with spring constant, Newton's Second Law says the displacement of the mass,x(t) should obey the differential equation

d^2x/dt^2=-(k/m)(x)(t)

If the mass crossesx=0 at timet=0 then one can show the displacement should be given by a functionof the formx(t)=Acos(bt)

.

Find the second derivative ofx(t)=Acos(bt), i.e compute(d^2)x/dt^2 usingx(t)=Acos(bt) Do not includex(t)in your answer.

d^2x/dt^2=

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!