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A metal sphere is hung by a string fixed...

A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong?

A

`P=Wtan theta`

B

`vecT+vecP+vecW=vec0`

C

`T^2=P^2+W^2`

D

T = P + W

Text Solution

Verified by Experts

The correct Answer is:
D
Fore equilibrium, `vect+vecP+vecW=vec0`
`rArr T cos theta = W ` T sin `theta = P rArr T^2 =W^2 +P^2`
`rArr tan theta =P/W rArr P=W tan theta `
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