The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y - projection of the radius vector of rotating particle P is :

Question

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y - projection of the radius vector of rotating particle P is : (A) y(t) = 3 cos ((3π t/2)) , where y in m (B) y(t) = 3 cos ((π t/2)) , where y in m (C) y(t) = 3cos2π t , where y in m (D) y(t) = 4 sin ((π t/2)) , where y in m

Tardigrade Admin · Accepted Answer

At t = 0, y displacement is maximum, so equation will be cosine function. T =4s ω = (2π/T) = (2π/4) = (π/2) rad /s y =a cosω t y = 3 cos (π/2)t

Q. The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. $y$ - projection of the radius vector of rotating particle $P$ is :

$y (t)$ = 3 cos ( $\frac{3 π t}{2}$ ) , where y in m

$y (t)$ = 3 cos ( $\frac{π t}{2}$ ) , where y in m

$y (t)$ = 3cos2 $π$ t , where y in m

y(t) = 4 sin ( $\frac{π t}{2}$ ) , where y in m

At t = 0, y displacement is maximum, so equation will be cosine function.
$T = 4 s$
$ω = \frac{2 π}{T} = \frac{2 π}{4} = \frac{π}{2} r a d / s$
$y = a cos ω t$
$y = 3 cos \frac{π}{2} t$

Q. The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y - projection of the radius vector of rotating particle P is :

y(t) = 3 cos (23πt​) , where y in m

y(t) = 3 cos (2πt​) , where y in m

y(t) = 3cos2π t , where y in m

y(t) = 4 sin (2πt​) , where y in m