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1. An inclined plane as shown in figure 1 is used to raise an object of mass 30 kg. If the plane is inclined 5° above the horizontal and the coefficient of friction is 0.20, calculate the ideal mechanical advantage, actual mechanical advantage, and the efficiency of this machine.

1. An inclined plane as shown in figure 1 is used to raise an object of mass 30 kg. If the plane is inclined 5° above the horizontal and the coefficient of friction is 0.20, calculate the ideal mechanical advantage, actual mechanical advantage, and the efficiency of this machine.

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1. An inclined plane as shown in figure 1 is used to raise an object of mass 30 kg. If the plane is inclined 5° above the horizontal and the coefficient of friction is 0.20, calculate the ideal mechanical advantage, actual mechanical advantage, and the efficiency of this machine. 2. The pitch of a jackscrew shown in figure 2 is 0.3 cm and has a lever arm of 60 cm length. What force at the end of the lever arm will raise a load of 190 kg if the efficiency of the machine is 12 %? 3. The IMA of the pulley system shown in figure 3 is 4, how far must the applied force move if the load moves 1 ft? If the load weighs 200 lb and the efficiency of the system is 90 %, what must be the applied force? 4. A pulley system as shown in figure 4 has an ideal mechanical advantage of 5 and is used to lift a load of 1000 lb. If the effort moves 10 ft, how far does the load move? If this work was done in 15 s, what horsepower was developed? If the machine was 80 % efficient, how much effort would be needed to lift the load? m = 30 kg Fig. 1 e = 5° Fo L = 60 cm p = 0.3 cm Fi Fi Fo Fo Fig. 3 Fig. 2 Fig. 4
Transcribed Image Text:1. An inclined plane as shown in figure 1 is used to raise an object of mass 30 kg. If the plane is inclined 5° above the horizontal and the coefficient of friction is 0.20, calculate the ideal mechanical advantage, actual mechanical advantage, and the efficiency of this machine. 2. The pitch of a jackscrew shown in figure 2 is 0.3 cm and has a lever arm of 60 cm length. What force at the end of the lever arm will raise a load of 190 kg if the efficiency of the machine is 12 %? 3. The IMA of the pulley system shown in figure 3 is 4, how far must the applied force move if the load moves 1 ft? If the load weighs 200 lb and the efficiency of the system is 90 %, what must be the applied force? 4. A pulley system as shown in figure 4 has an ideal mechanical advantage of 5 and is used to lift a load of 1000 lb. If the effort moves 10 ft, how far does the load move? If this work was done in 15 s, what horsepower was developed? If the machine was 80 % efficient, how much effort would be needed to lift the load? m = 30 kg Fig. 1 e = 5° Fo L = 60 cm p = 0.3 cm Fi Fi Fo Fo Fig. 3 Fig. 2 Fig. 4
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