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ICSE Class 8 Answered

The main gate of building is 2.6 metre broad it can be open by applying a force of 80 Newton at the middle of a calculate the least force which can open the gate
Asked by anshvashishth19 | 15 Sep, 2019, 03:34: PM
answered-by-expert Expert Answer

The force applied at the middle of gate = 80 N 
The distance of gate from hinge = 2.6 m 
The distance at which the 80 N of force is applied = 2.6/2 = 1.3 m 
 
The minimum force will be required if the force is applied at the free end of the gate = 2.6 m 
Thus, by principle of moments
 
F1 x d1 = F2 x d2 
 
80 x 1.3 = F2 x 2.6 
 
Thus, F2 = (80 x 1.3)/2.6 = 40 N 
 
Thus, least force which can open the door is 40 N

Answered by Shiwani Sawant | 15 Sep, 2019, 03:51: PM

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