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Standard VIII

Physics

Tension

A painter of ...

Question

A painter of $50$ kgwt stands on a wooden plank of length $5$ m. The plank is suspended at its end by ropes. The painter stands at a distance 2 m from one end of the plank. Find the tensions _____ $t_{1} a n d t_{2}$ (force) on the support are kgwt and kgwt respectively.

30, 20

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20, 30

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15, 30

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50, 30

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Solution

The correct option is A $30, 20$
Wooden plank is in equlibrium.
$\sum F_{y} = 0$ $\Rightarrow t_{1} + t_{2} = 50$ .....1
Taking Moments about point 'A',
Anticlockwise Moments= Clockwise Moments,
$t_{2} \times 5 = 50 \times 2$ $\Rightarrow t_{2} = 20$ kgwt ......2
Solving equations 1 and 2,
$t_{1} = 30$ kgwt, $t_{2} = 20$ kgwt

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A painter of 50 kgwt stands on a wooden plank of length 5 m. The plank is suspended at its end by ropes. The painter stands at a distance 2 m from one end of the plank. Find the tensions _____ t1andt2 (force) on the support are ____ kgwt and ____ kgwt respectively.

The correct option is A 30,20Wooden plank is in equlibrium.∑Fy=0 ⇒t1+t2=50 .....1Taking Moments about point 'A',Anticlockwise Moments= Clockwise Moments,t2×5=50×2 ⇒t2=20 kgwt ......2Solving equations 1 and 2, t1=30 kgwt, t2=20 kgwt

A painter of $50$ kgwt stands on a wooden plank of length $5$ m. The plank is suspended at its end by ropes. The painter stands at a distance 2 m from one end of the plank. Find the tensions _____ $t_{1} a n d t_{2}$ (force) on the support are kgwt and kgwt respectively.