An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and released, it vibrates vertically. The equation of motion is s=2cos t + 3 sin t, t= 0, where s is measured in centimeters and t in seconds (The positive direction is downward).

A) When does the mass pass through the equilibrium position for the first time? (Equilibrium is the starting position before being pulled downward).

.. A way to do this without using parametrics?

Question

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and released, it vibrates vertically. The equation of motion is s=2cos t + 3 sin t, t>= 0, where s is measured in centimeters and t in seconds (The positive direction is downward).

A) When does the mass pass through the equilibrium position for the first time? (Equilibrium is the starting position before being pulled downward).

.. A way to do this without using parametrics?

anonymous · Answer

at equilibrium position, s=0
so, 2cos t+3sin t=0
hence, tan t=-2/3
find out the least positive value of t

anonymous · Answer

When does tan t = -2/3? How do I solve that?

anonymous · Answer

find out 
$$\tan^{-1} (-2/3)$$ by using a calculator in radian form.
u will get a negative result. add pi to it. it will be ur answer

anonymous · Answer

Why would I have to add pi?