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?

Options

A. (a)`P=barw tan theta`
B. (b)`overset(rarr)T +overset(rarr)P+overset(rarr)W=0`
C. (c)`T^(2)=P^(2)+w^(2)`
D. (d)`T=P+barW`

Answer

d

Explanation

`T cos theta =w` and `T sin theta =P`
`tan theta =(P)/(W) rarr P=W tan theta rarr` A is connect
since the speere is in equilibrium net force is zero
`barT +barP+barw=0 rarr ` B is correct
`rarr T^(2)=P^(2)+w^(2) rarr` c is correct `t ne P + W rarr` D is wrong