Part A: Pulley-Rope
A pulley-rope mechanism is shown in Figure 1. In order to lift the block A to a certain elevation, a force F is required to apply to the end of the cable at point B. The mass of the block A is 200 kg. The masses of pulley, D, C and E and the rope are negligible compared to the mass of block A. The friction of the pulley-rope can be neglected.
a) In two ways determine the constant force F that is required to apply to the rope at point B in order to lift block A to reach speed of 10 m/s at a displacement of 5 m upward starting from rest.
1. Use force and acceleration (Newton 's second law of motion) and kinematics
2. Use work and energy principle T1 + ̑U1→2 = T2
b) In two ways determine the velocity and distance of the block A and point B in time t = 4 s if the applied force at point B is 90 kg. Consider the system is released from rest.
1. Use force and acceleration (Newton's second law of motion) and kinematics.
2. Use impulse and momentum principle: mv1 = ̑∫ Fdt = mv2