Question

In the image shown . AC is a rigid rod of length 12 cms rotating about point P, whose velocities are shown in the figure. Find the distance PC = x

• A. 12 cms
• B. 8 cms
• C. 4 cms
• D. 2 cms

Answer 1

Answer: (C)

4 cms

Since the rod is rotating about the point P, the angular velocities of all the points are same.
Thus, the linear velocities of point C and A are related to the angular velocity $\omega$ as $x\omega =3$ and $(d+x)\omega$=12.
Solving both the equations, we get $x=4cm$