A body of mass 1 kg is executing S.H.M. given by `x=6cos(100t+pi//4)` cm, what is its maximum K.E. ?

Options

A. 18 J
B. 36 J
C. 180 J
D. 1.8 J

Answer

A

Explanation

Here `" "omega=100` rad/s.
`:." "` r = 6 cm = 0.06 m.
Max K.E. `=(1)/(2)m omega^(2)r^(2)=(1)/(2)xx1xx(100)^(2)xx((6)/(100))^(2)`
`=18` J.
Hence correct choice is (a).