8.
Calculate the IMA of a compound machine made of a pulley system with 3 supporting ropes and a wedge with length 6 cm and thickness 1 cm.
To calculate the IMA of a compound machine, we need to calculate the IMA of each simple machine in the compound machine and then multiply those values together.
1. Pulley System:
The IMA of a pulley system is equal to the number of supporting ropes. In this case, there are 3 supporting ropes, so the IMA of the pulley system is 3.
2. Wedge:
The IMA of a wedge can be calculated using the formula:
IMA = Length of the wedge / Thickness of the wedge
IMA = 6 cm / 1 cm
IMA = 6
Now, we can calculate the overall IMA of the compound machine by multiplying the IMA of the pulley system and the wedge:
Overall IMA = IMA of pulley system * IMA of wedge
Overall IMA = 3 * 6
Overall IMA = 18
Therefore, the overall IMA of the compound machine made of a pulley system with 3 supporting ropes and a wedge with length 6 cm and thickness 1 cm is 18.