Physics

Problem

A force acting on a body is given by

F(t)=F_0\sin\left(\dfrac{\pi t}{T}\right)

for

0<t<T

and is zero at other times. Which of the following expressions gives the impulse imparted to the body during the interval

0

T

? a)

F_0T

\dfrac{2F_0T}{\pi}

\dfrac{\pi F_0T}{2}

\dfrac{F_0T}{\pi}