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Figure below shows a pulley system used to hoist a load of 3200N. Assuming the friction at the fixed pulley is 96, calculate the,
Effort required to lift the load to that height. Neglect the weight ?
Figure below shows a pulley system used to hoist a load of 3200N. Assuming the friction at the fixed pulley is 96, calculate the,
Effort required to lift the load to that height. Neglect the weight ?
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ChatGPT
Jul 16
To calculate the effort required to lift the load, we need to consider the forces acting on the system.
Given: Load = 3200 N Friction at fixed pulley = 96 N
Since the load is being lifted, the tension in the rope on both sides of the pulley system will be the same. Let T be the tension in the rope.
The forces acting on the load are: 1. Tension in the rope on the left side of the fixed pulley = T 2. Tension in the rope on the right side of the fixed pulley = T 3. Weight of the load = 3200 N 4. Friction at the fixed pulley = 96 N
Since the load is in equilibrium, the sum of the forces in the vertical direction must be zero:
T + T - 3200 - 96 = 0 2T - 3296 = 0 2T = 3296 T = 1648 N
Therefore, the effort required to lift the load to that height is 1648 N.
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Google Gemini AI
Jul 16
Given: - Load: 3200N - Number of movable pulleys: 3 - Friction at fixed pulley: 96N
Mechanical Advantage (MA) of the pulley system: MA = (2^n) - (Mechanical Advantage of fixed pulley) MA = (2^3) - (1-friction/load) MA = 8 - (1-96/3200) MA = 8 - (1-0.03) MA = 7.75
Effort required to lift the load: Effort = Load / Mechanical Advantage Effort = 3200N / 7.75 Effort = 412.9N
Therefore, the effort required to lift the load to that height is 412.9N.