The number of degrees of freedom of the planetary gear train shown in the figure is

In the figure, link $$2$$ rotates with constant angular velocity $${{\omega _2}}$$. A slider link $$3$$ moves outwards with a constant relative velocity $${V_{Q/P,}}$$ where $$Q$$ is a point on slider $$3$$ and $$p$$ is a point on link $$2.$$ The magnitude and direction of Coriolis component of acceleration is given by

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ______

A rigid link PQ is 2 m long and oriented at 20^o to the horizontal as shown in the figure. The magnitude and direction of velocity V_Q, and the direction of velocity V_P are given. The magnitude of V_P(in m/s) at this instant is