A plank of a See-saw is 8m long and is supported at the centre. Rahul, who weighs 80 Kgf sits at a distance of 3 m from the fulcrum. Manish sits 4m from the fulcrum to balance the plank. What is Manish's weight

80 Kg

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40 Kg

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60 Kg

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10 Kg

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Solution

The correct option is C
60 Kg

Let Manish's weight be 'x' kgf.
Given, Load = 80 kgf (Rahul's weight)
Load arm = 3 m
Effort arm = 4m.

We know that

$l o a d \times l o a d a r m = e f f o r t \times e f f o r t a r m$

$80 \times 3 = x \times 4$

$x = \frac{80 \times 3}{4}$

x = 60 Kg

Manish's weight is 60 Kg

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A plank of a See-saw is 8m long and is supported at the centre. Rahul, who weighs 80 Kgf sits at a distance of 3 m from the fulcrum. Manish sits 4m from the fulcrum to balance the plank. What is Manish's weight

The correct option is C 60 Kg Let Manish's weight be 'x' kgf. Given, Load = 80 kgf (Rahul's weight) Load arm = 3 m Effort arm = 4m. We know that load×load arm=effort×effort arm 80×3=x×4 x=80×34 x = 60 Kg Manish's weight is 60 Kg