Question 5The sketch shows a light pulley A rotating freelyabout a fixed axis and two light pulleys B and Cthat can rotate without any friction. Furthermore,the system consists of inextensible cords wrappedaround pulleys B and C, allowing them to trans-late freely in the vertical, and a mass m of 1 kgattached to pulley C. A force may act at P, e.g. in(b) a motor is connected to the cord and P movesdownwards.AmB(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 passesover A and B in terms of the acceleration ap ofthe point P.(c) Assume a motor with efficiency € 0,85gives point P a vertical downward accelerationap = 1,2 m/s. Calculate the power that mustbe supplied to the motor when P has velocityUp = 0,6 m/s.

Solution: a). The free body diagram of the system is shown in the figure below.

Answered: Question 5 The sketch shows a light…

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