For an interval of motion the drum of radius b turns clockwise at a constant rate ω in r...

For an interval of motion the drum of radius b turns clockwise at a constant rate ω in radians per second and causes the carriage P to move to the right as the unwound length of the connecting cable is shortened. Use polar coordinates r and θ and derive expressions for the velocity v and acceleration a of P in the horizontal guide in terms of the angle θ. Check your solution by a direct differentiation with time of the relation x² + h² = r².