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Q.


[[1]] is the value of VR and Mechanical Advantage for the following pulley system (assuming that all cables are always in vertical alignment) .


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Detailed Solution

Concept- The value of VR and MA for the given pulley system is 1. We must comprehend what a machine's mechanical advantage and velocity ratio are in order to answer this issue. The ratio of load to effort is referred to as the mechanical advantage. The displacement of effort to the displacement of load is known as the velocity ratio. Here, we've provided the straightforward pulley system that will allow us to calculate both of these quantities.
Formulas used:
Question Imagewhere, M . A. is the mechanical advantage, Question Image is the load and Question Image is the effort
Question Imagewhere, V.R. is the velocity ratio, Question Image is the displacement of effort and Question Image is the displacement of load
Question Imagewhere, Question Image is the efficiency of the machine, M . A. is the mechanical advantage and V . R. is the velocity ratio
We are required to assume that all of the wires are always vertically aligned while also being provided a simple pulley system.
If we visualize the effort on the left hand rope being pushed down a particular distance in this situation and think about the frictionless movement between the pulley and the cable. In order for the weight to climb to the same height, the same length of rope must pass through the pulley.
As we are aware, velocity ratio is determined by
Question ImageHere, we have seen that Question ImageTherefore, the given system's velocity ratio is 1.
The effectiveness of a machine is now for smooth motion. Question Image.
We know that
Question ImageQuestion ImageTherefore, for the given case
Question ImageTherefore, mechanical advantage for the specified system is 1.
Thus, the value of mechanical advantage and velocity ratio for the specified system is one, which is also our final response.
Hence, the value of both mechanical advantage and velocity ratio for the given system is 1.
 
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