Question

An object of mass m is oscillating with a period T. The position x of the object as a function of time is given by the equation x(t)=Acosωt . The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?

Answer 1

What the equation given?

• x(t)=Acos$\omega$t

Maximum velocity occurs at the equilibrium position

So

• x=0

Now

• x(0)=Acos0[/tex]
• x(0)=A

Now

As we know the formula

$\\ \rm\rightarrowtail V_max=A\omega$

These expressions can be used