The load arm of a lever is 2 m long & its effort arm is 3 m long . calculate the effort required to lift a load of 21 N
options are down:-)
a.16 N
b.14 N
c.18 N
d.12 N
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Answers
Answered by
59
Answer :
- Effort required to lift the load to 21 N is 14 N.
Explanation :
Given :
- Load arm of the lever, L' = 2 m
- Effort arm of the lever, E' = 3 m
- Load to be lifted, L = 21 N
To find :
- Effort required to lift the load, E = ?
Knowledge required :
We know that in case of a lever ,
⠀⠀⠀⠀⠀⠀⠀⠀⠀L × L' = E × E'
Where,
- L = Load to be lifted
- E = Effort required to lift the load
- L' = Load arm or the lever
- E' = Effort arm of the lever
From the above equation, we get :
⠀⠀=> L = (E × E')/L'
⠀⠀=> L/E = E'/L'
⠀⠀⠀⠀∴ Load/Effort = Effort arm/Load arm
Solution :
By using the relation between load & Effort and Load arm & and Effort arm, we get :
⠀⠀=> L/E = E'/L'
⠀⠀=> 21/E = 3/2
⠀⠀=> 21/E × 2 = 3
⠀⠀=> 42/E = 3
⠀⠀=> 1/E = 3/42
⠀⠀=> 1/E = 1/14
⠀⠀=> 14 = E
⠀⠀⠀⠀⠀⠀⠀∴ Effort = 14 N
Therefore,
- Effort required to lift the load, E = 14 N
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EFFORT IS 14N......... IS YOUR ANSWER MATE.
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