Question 5 The sketch shows a light pulley A rotating freely about a fixed axis and two light pulleys B and C that can rotate without any friction. Furthermore, the system consists of inextensible cords wrapped around pulleys B and C, allowing them to trans- late freely in the vertical, and a mass m of 1 kg attached to pulley C. A force may act at P, e.g. in (b) a motor is connected to the cord and P moves downwards. A m B (a) Indicate all the forces on the sketch and calcu- late the acceleration of C in termes of the acceler- ation of P. (b) Calculate the tension T in the cord that passes over A and B in terms of the acceleration ap of the point P. (c) Assume a motor with efficiency € = 0,85 gives point P a vertical downward acceleration ap = 1,2 m/s. Calculate the power that must be supplied to the motor when P has velocity Up = 0,6 m/s.

Question 5 The sketch shows a light pulley A rotating freely about a fixed axis and two light pulleys B and C that can rotate without any friction. Furthermore, the system consists of inextensible cords wrapped around pulleys B and C, allowing them to trans- late freely in the vertical, and a mass m of 1 kg attached to pulley C. A force may act at P, e.g. in (b) a motor is connected to the cord and P moves downwards. A m B (a) Indicate all the forces on the sketch and calcu- late the acceleration of C in termes of the acceler- ation of P. (b) Calculate the tension T in the cord that passes over A and B in terms of the acceleration ap of the point P. (c) Assume a motor with efficiency € = 0,85 gives point P a vertical downward acceleration ap = 1,2 m/s. Calculate the power that must be supplied to the motor when P has velocity Up = 0,6 m/s.