A vertical disk of radius R = 15 cm is rolling without slipping while it remains

Question

A vertical disk of radius R = 15 cm is rolling without slipping while it remains perpendicular to the horizontal group. The speed of the center of the disk relative to the ground is constant at 3 m/s and its velocity is in the +x - direction. A point P is market (e. g in red) at the rim of this disk. Calculate the velocity of the point P relative to the disk when P is at the same horizontal level as the center of the disk, ahead of it, relative to the +x-axis. Make a drawing of a circle and show the point P and its velocity. Calculate the velocity of the point P relative to the ground when P is at the position described above Draw a circle showing both the center and P as well as their respective velocities.

Explanation / Answer

a)   velocity of point P relative to disk = sqrt(32 + 32)

                                                            = 4.242 m/sec

=> direction =   225 degree    anticlockwise from + ve X axis .

b)    velocity of point P relative to ground = 3 m/sec

=> direction =   vertically downwards .

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